Results for 'Neutrosophic logic'

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  1.  47
    Introduction to neutrosophic logic.Charles Ashbacher - 2002 - Rehoboth, NM: American Research Press.
    Neutrosophic Logic was created by Florentin Smarandache (1995) and is an extension / combination of the fuzzy logic, intuitionistic logic, paraconsistent logic, ...
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  2. Classical Logic and Neutrosophic Logic. Answers to K. Georgiev.Florentin Smarandache - 2016 - Neutrosophic Sets and Systems 13:79-83.
    In this paper, we make distinctions between Classical Logic (where the propositions are 100% true, or 100 false) and the Neutrosophic Logic (where one deals with partially true, partially indeterminate and partially false propositions) in order to respond to K. Georgiev’s criticism [1]. We recall that if an axiom is true in a classical logic system, it is not necessarily that the axiom be valid in a modern (fuzzy, intuitionistic fuzzy, neutrosophic etc.) logic system.
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  3. A few little steps beyond Knuth’s Boolean Logic Table with Neutrosophic Logic: A Paradigm Shift in Uncertain Computation.Florentin Smarandache & Victor Christianto - 2023 - Prospects for Applied Mathematics and Data Analysis 2 (2):22-26.
    The present article delves into the extension of Knuth’s fundamental Boolean logic table to accommodate the complexities of indeterminate truth values through the integration of neutrosophic logic (Smarandache & Christianto, 2008). Neutrosophic logic, rooted in Florentin Smarandache’s groundbreaking work on Neutrosophic Logic (cf. Smarandache, 2005, and his other works), introduces an additional truth value, ‘indeterminate,’ enabling a more comprehensive framework to analyze uncertainties inherent in computational systems. By bridging the gap between traditional boolean (...)
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  4. Improved Definition of NonStandard Neutrosophic Logic and Introduction to Neutrosophic Hyperreals (Fifth version).Florentin Smarandache - 2022 - Neutrosophic Sets and Systems 51 (1):1-20.
    In the fifth version of our response-paper [26] to Imamura’s criticism, we recall that NonStandard Neutrosophic Logic was never used by neutrosophic community in no application, that the quarter of century old neutrosophic operators (1995-1998) criticized by Imamura were never utilized since they were improved shortly after but he omits to tell their development, and that in real world applications we need to convert/approximate the NonStandard Analysis hyperreals, monads and binads to tiny intervals with the desired (...)
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  5. Neutrosophic logics: prospects and problems.Umberto Rivieccio - 2008 - Fuzzy Sets and Systems 159 (14):1860-1868.
    Neutrosophy has been introduced some years ago by Florentin Smarandache as a new branch of philosophy dealing with “the origin, nature and scope of neutralities, as well as their interactions with different ideational spectra”. A variety of new theories have been developed on the basic principles of neutrosophy: among them is neutrosophic logics, a family of many-valued systems that can be regarded as a generalization of fuzzy logics. In this paper we present a critical introduction to neutrosophic logics, (...)
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  6. A unifying field in logics: Neutrosophic logic.Florentin Smarandache - 1999 - In [Book Chapter].
    The author makes an introduction to non-standard analysis, then extends the dialectics to “neutrosophy” – which became a new branch of philosophy. This new concept helps in generalizing the intuitionistic, paraconsistent, dialetheism, fuzzy logic to “neutrosophic logic” – which is the first logic that comprises paradoxes and distinguishes between relative and absolute truth. Similarly, the fuzzy set is generalized to “neutrosophic set”. Also, the classical and imprecise probabilities are generalized to “neutrosophic probability”.
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  7. A Unifying Field in Logics: Neutrosophic Logic: Neutrosophy, Neutrosophic Set, Neutrosophic Probability.Florentin Smarandache (ed.) - 2007 - Ann Arbor, MI, USA: InfoLearnQuest.
    Neutrosophy considers a proposition, theory, event, concept, or entity, "A" in relation to its opposite, "Anti A" and that which is not A, "Non-A", and that which is neither "A" nor "Anti-A", denoted by "Neut-A". Neutrosophy is the basis of neutrosophic logic, neutrosophic probability, neutrosophic set, and neutrosophic statistics.
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  8. The static model of inventory management without a deficit with Neutrosophic logic.Maissam Jdid, Rafif Alhabib & A. A. Salama - 2021 - International Journal of Neutrosophic Science 16 (1):42-48.
    In this paper, we present an expansion of one of the well-known classical inventory management models, which is the static model of inventory management without a deficit and for a single substance, based on the neutrosophic logic, where we provide through this study a basis for dealing with all data, whether specific or undefined in the field of inventory management, as it provides safe environment to manage inventory without running into deficit , and give us an approximate ideal (...)
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  9. Accordance with neutrosophic logic? A multimoora approach for countries worldwide.K. M. Brauers Willem - 2020 - In Harish Garg (ed.), Decision-making with neutrosophic set: theory and applications in knowledge management. New York: Nova Science Publishers.
     
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  10. On Three possible applications of Neutrosophic Logic in Applied Sciences, including matter creation.Victor Christianto, Robert N. Boyd & Florentin Smarandache - manuscript
    In the same spirit with the theme of last issue of this SGJ journal (“Ongoing creation”), this paper shortly reviews a plausible mechanism from Aether to become ordinary matter from the perspective of Neutrosophic Logic. We also discuss two other possible applications of Neutrosophic Logic, including a resolution of conflicting paradigms in medicine. We hope that some ideas as outlined herein will be proved useful in the near future.
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  11. Definición Mejorada de Lógica Neutrosófica No Estándar e Introducción a los Hiperreales Neutrosóficos (Quinta versión). Improved Definition of Non-Standard Neutrosophic Logic and Introduction to Neutrosophic Hyperreals (Fifth Version).Florentin Smarandache - 2022 - Neutrosophic Computing and Machine Learning 23 (1):1-20.
    In the fifth version of our reply article [26] to Imamura's critique, we recall that Neutrosophic Non-Standard Logic was never used by the neutrosophic community in any application, that the quarter-century old (1995-1998) neutrosophic operators criticized by Imamura were never used as they were improved soon after, but omits to talk about their development, and that in real-world applications we need to convert/approximate the hyperreals, monads and bi-nads of Non-Standard Analysis to tiny intervals with the desired (...)
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  12. Beyond Negation and Excluded Middle: An exploration to Embrace the Otherness Beyond Classical Logic System and into Neutrosophic Logic.Florentin Smarandache & Victor Christianto - 2023 - Prospects for Applied Mathematics and Data Analysis 2 (2):34-40.
    As part of our small contribution in dialogue toward better peace development and reconciliation studies, and following Toffler & Toffler’s War and Antiwar (1993), the present article delves into a realm of logic beyond the traditional confines of negation and the excluded middle principle, exploring the nuances of "Otherness" that transcend classical and Nagatomo logics. Departing from the foundational premises of classical Aristotelian logic systems, this exploration ventures into alternative realms of reasoning, specifically examining Neutrosophic Logic (...)
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  13. n-ary Fuzzy Logic and Neutrosophic Logic Operators.Florentin Smarandache & Vic Christianto - 2009 - Studies in Logic, Grammar and Rhetoric 17 (30).
     
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  14. Neutrosophic Actions, Prevalence Order, Refinement of Neutrosophic Entities, and Neutrosophic Literal Logical Operators.Florentin Smarandache - 2015 - Neutrosophic Sets and Systems 10:102-107.
    In this paper, we define for the first time three neutrosophic actions and their properties. We then introduce the prevalence order on {T, I, F} with respect to a given neutrosophic operator “o”, which may be subjective - as defined by the neutrosophic experts; and the refinement of neutrosophic entities <A>, <neutA>, and <antiA> . Then we extend the classical logical operators to neutrosophic literal logical operators and to refined literal logical operators, and we define (...)
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  15. Inspection Assignment Form for Product Quality Control Using Neutrosophic Logic.Florentin Smarandache, Maissam Jdid & Broumi Said - 2023 - Neutrosophic Systems with Applications 1.
    During the production process, production companies need to monitor the finished products and ensure their quality, which imposes on them the appointment of inspectors for auditing, and this appointment costs the company amounts that affect the general profit, so it strives to make this cost as low as possible and that the audit process is carried out with high accuracy because in case that the finished products do not conform to the basic specifications of the product, the company is required (...)
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  16. Neutrosophic overset, neutrosophic underset, and neutrosophic offset: similarly for neutrosophic over-/under-/off-logic, probability, and statistics.Florentin Smarandache - 2016 - Brussels: Pons Editions.
    Neutrosophic Over-/Under-/Off-Set and -Logic were defined for the first time by Smarandache in 1995 and published in 2007. They are totally different from other sets/logics/probabilities. He extended the neutrosophic set respectively to Neutrosophic Overset {when some neutrosophic component is > 1}, Neutrosophic Underset {when some neutrosophic component is < 0}, and to Neutrosophic Offset {when some neutrosophic components are off the interval [0, 1], i.e. some neutrosophic component > 1 and (...)
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  17. Neutrosophic Modal Logic.Florentin Smarandache - 2017 - Neutrosophic Sets and Systems 15:90-96.
    We introduce now for the first time the neutrosophic modal logic. The Neutrosophic Modal Logic includes the neutrosophic operators that express the modalities. It is an extension of neutrosophic predicate logic and of neutrosophic propositional logic.
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  18. A unifying field in logics: neutrosophic logic: neutrosophy, neutrosophic set, neutrosophic probability and statistics.Florentin Smarandache - 1998 - Rehoboth [N.M.]: American Research Press.
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  19. Neutrosophy: neutrosophic probability, set, and logic: analytic synthesis & synthetic analysis.Florentin Smarandache - 1998 - Rehoboth, NM: American Research Press.
  20.  17
    Neutrosophic graph theory and algorithms.Florentin Smarandache (ed.) - 2020 - Hershey, PA: Engineering Science Reference.
    Graph theory is a specific concept that has numerous applications throughout many industries. Despite the advancement of this technique, graph theory can still yield ambiguous and imprecise results. In order to cut down on these indeterminate factors, neutrosophic logic has emerged as an applicable solution that is gaining significant attention in solving many real-life decision-making problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistency, and indeterminacy. However, empirical research on this specific graph set is lacking. Neutrosophic Graph Theory (...)
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  21.  14
    Neutrosophic graphs: a new dimension to graph theory.Vasantha Kandasamy & B. W. - 2015 - Bruxelles, Belgium: EuropaNova. Edited by K. Ilanthenral & Florentin Smarandache.
    Studies to neutrosophic graphs happens to be not only innovative and interesting, but gives a new dimension to graph theory. The classic coloring of edge problem happens to give various results. Neutrosophic tree will certainly find lots of applications in data mining when certain levels of indeterminacy is involved in the problem. Several open problems are suggested.
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  22. Neutrosophic Crisp Set Theory.A. A. Salama & Florentin Smarandache - 2015 - Columbus, OH, USA: Educational Publishers.
    Since the world is full of indeterminacy, the Neutrosophics found their place into contemporary research. We now introduce for the first time the notions of Neutrosophic Crisp Sets and Neutrosophic Topology on Crisp Sets. We develop the 2012 notion of Neutrosophic Topological Spaces and give many practical examples. Neutrosophic Science means development and applications of Neutrosophic Logic, Set, Measure, Integral, Probability etc., and their applications in any field. It is possible to define the (...) measure and consequently the neutrosophic integral and neutrosophic probability in many ways, because there are various types of indeterminacies, depending on the problem we need to solve. Indeterminacy is different from randomness. Indeterminacy can be caused by physical space, materials and type of construction, by items involved in the space, or by other factors. In 1965 [51], Zadeh generalized the concept of crisp set by introducing the concept of fuzzy set, corresponding to the situation in which there is no precisely defined set;there are increasing applications in various fields, including probability, artificial intelligence, control systems, biology and economics. Thus, developments in abstract mathematics using the idea of fuzzy sets possess sound footing. In accordance, fuzzy topological spaces were introduced by Chang [12] and Lowen [33]. After the development of fuzzy sets, much attention has been paid to the generalization of basic concepts of classical topology to fuzzy sets and accordingly developing a theory of fuzzy topology [1-58]. In 1983, the intuitionistic fuzzy set was introduced by K. Atanassov [55, 56, 57] as a generalization of the fuzzy set, beyond the degree of membership and the degree of non-membership of each element. In 1999 and 2002, Smarandache [71, 72, 73, 74] defined the notion of Neutrosophic Sets, which is a generalization of Zadeh’s fuzzy set and Atanassov's intuitionistic fuzzy set. Some neutrosophic concepts have been investigated by Salama et al. [61-70]. Forwarding the study of neutrosophic sets, this book consists of seven chapters, targeting to:  generalize the previous studies in [1-59], and[91-94] so to define the neutrosopic crisp set and neutrosophic set concepts;  discuss their main properties; A. A. Salama & Florentin Smarandache  introduce and study some concepts of neutrosophic crisp and neutrosophic topological spaces and deduce their properties;  deduce many types of functions and give the relationships between different neutrosophic topological spaces, which helps to build new properties of neutrosophic topological spaces;  stress once more the importance of Neutrosophic Ideal as a nontrivial extension of neutrosophic set and neutrosophic logic [71, 72, 73, 74];  propose applications on computer sciences by using neutrosophic sets. (shrink)
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  23.  9
    Neutrosophic theory and its applications.Florentin Smarandache - 2014 - Brussels, Belgium: EuropaNova.
    This volume contains 45 papers, written by the author alone or in collaboration with the following co-authors: Mumtaz Ali, Said Broumi, Sukanto Bhattacharya, Mamoni Dhar, Irfan Deli, Mincong Deng, Alexandru Gal, Valeri Kroumov, Pabitra Kumar Maji, Maikel Leyva-Vazquez, Feng Liu, Pinaki Majumdar, Munazza Naz, Karina Perez-Teruel, Rıdvan Sahin, A. A. Salama, Muhammad Shabir, Rajshekhar Sunderraman, Luige Vladareanu, Magdalena Vladila, Stefan Vladutescu, Haibin Wang, Hongnian Yu, Yan-Qing Zhang.
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  24.  13
    Semigroups on MOD natural neutrosophic elements.Vasantha Kandasamy & B. W. - 2016 - Bruxelles, Belgium: EuropaNova. Edited by K. Ilanthenral & Florentin Smarandache.
    In this book the notion of semigroups under + is constructed using: the MOD natural neutrosophic integers, or MOD natural neutrosophic-neutrosophic numbers, or MOD natural neutrosophic finite complex modulo integer, or MOD natural neutrosophic dual number integers, or MOD natural neutrosophic special dual like number, or MOD natural neutrosophic special quasi dual numbers.
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  25.  9
    Neutrosophic sets in decision analysis and operations research.Mohamed Abdel-Basset & Florentin Smarandache (eds.) - 2020 - Hershey, PA: Engineering Science Reference.
  26.  10
    Natural neutrosophic numbers and MOD neutrosophic numbers.Vasantha Kandasamy & B. W. - 2015 - Bruxelles, Belgium: EuropaNova. Edited by K. Ilanthenral & Florentin Smarandache.
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  27. Neutrosophic Regular Filters and Fuzzy Regular Filters in Pseudo-BCI Algebras.Xiaohong Zhang, Yingcan Ma & F. Smarandache - 2017 - Neutrosophic Sets and Systems 17:10-15.
    Neutrosophic set is a new mathematical tool for handling problems involving imprecise, indetermi nacy and inconsistent data. Pseudo-BCI algebra is a kind of non-classical logic algebra in close connection with various non-commutative fuzzy logics. Recently, we applied neutrosophic set theory to pseudo-BCI al gebras. In this paper, we study neutrosophic filters in pseudo-BCI algebras. The concepts of neutrosophic regular filter, neutrosophic closed filter and fuzzy regular filter in pseudo-BCI algebras are introduced, and some basic (...)
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  28. Medical Diagnosis via Refined Neutrosophic Fuzzy Logic: Detection of Illness using Neutrosophic Sets.Florentin Smarandache, K. Hemabala & B. Srinivasa Kumar - 2023 - Journal of Advanced Zoology 44.
    The objective of the paper is to implement and validate diagnosis in the medical field via refined neutrosophic fuzzy logic (RNFL). As such, we have proposed a Max-Min composition (MMC) method in RNFL. This method deals with the diagnosis under certain constraints like uncertainty and indeterminacy. Further, we have considered the diagnosis problems to validate the sensitivity analysis of the novel multi attribute decision-making technique. Finally, we gave the graphical representations and compared the obtained results with other existing (...)
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  29. Neutrosophic Measure and Neutrosophic Integral.Florentin Smarandache - 2013 - Neutrosophic Sets and Systems 1:3-7.
    Since the world is full of indeterminacy, the neutrosophics found their place into contemporary research. We now introduce for the first time the notions of neutrosophic measure and neutrosophic integral. Neutrosophic Science means development and applications of neutrosophic logic/set/measure/integral/ probability etc. and their applications in any field. It is possible to define the neutrosophic measure and consequently the neutrosophic integral and neutrosophic probability in many ways, because there are various types of indeterminacies, (...)
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  30.  30
    Neutrosophic Theories in Communication, Management and Information Technology.Florentin Smarandache & Said Broumi (eds.) - 2020 - New York: Nova Science Publishers.
    Contributing to the fast growing new field of neutrosophy, this book provides a significant collection of unedited articles covering the latest ongoing research area. Neutrosopy is above all a new view on modelling, tailored to effectively address the uncertainties inherent of the real world. In short, Neutrosophy supersedes in logics the binary approach of true or false by introducing a third state: neutral, which can be also interpreted as indeterminate, uncertain, inconsistent.
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  31. Neutrosophic Knowledge. Journal of Modern Science and Arts, vol. 1, 2020.A. A. Salama, Florentin Smarandache & Ibraheem Yasser (eds.) - 2020 - Gallup, NM, USA: University of New Mexico.
    “Neutrosophics Knowledge” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. The submitted papers should be professional, in good English and Arabic, containing a brief review of a problem and obtained results. Neutrosophy is a new branch of philosophy that studies the origin, nature, and (...)
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  32. Advancing Uncertain Combinatorics through Graphization, Hyperization, and Uncertainization: Fuzzy, Neutrosophic, Soft, Rough, and Beyond. Fourth volume: HyperUncertain Set (Collected Papers).Fujita Takaaki & Florentin Smarandache - 2025 - Gallup, NM, USA: NSIA Publishing House.
    This book represents the fourth volume in the series Collected Papers on Advancing Uncertain Combinatorics through Graphization, Hyperization, and Uncertainization: Fuzzy, Neutrosophic, Soft, Rough, and Beyond. This volume specifically delves into the concept of the HyperUncertain Set, building on the foundational advancements introduced in previous volumes. The series aims to explore the ongoing evolution of uncertain combinatorics through innovative methodologies such as graphization, hyperization, and uncertainization. These approaches integrate and extend core concepts from fuzzy, neutrosophic, soft, and rough (...)
     
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  33. Neutrosophic Triplet Structures. Volume I.Florentin Smarandache & Memet Şahin (eds.) - 2019 - Brussels, Belgium, EU: Pons editions.
    Neutrosophic set has been derived from a new branch of philosophy, namely Neutrosophy. Neutrosophic set is capable of dealing with uncertainty, indeterminacy and inconsistent information. Neutrosophic set approaches are suitable to modeling problems with uncertainty, indeterminacy and inconsistent information in which human knowledge is necessary, and human evaluation is needed. Neutrosophic set theory was firstly proposed in 1998 by Florentin Smarandache, who also developed the concept of single valued neutrosophic set, oriented towards real world scientific (...)
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  34. Algebraic structures of neutrosophic triplets, neutrosophic duplets, or neutrosophic multisets. Volume I.Florentin Smarandache, Xiaohong Zhang & Mumtaz Ali - 2018 - Basel, Switzerland: MDPI. Edited by Florentin Smarandache, Xiaohong Zhang & Mumtaz Ali.
    The topics approached in the 52 papers included in this book are: neutrosophic sets; neutrosophic logic; generalized neutrosophic set; neutrosophic rough set; multigranulation neutrosophic rough set (MNRS); neutrosophic cubic sets; triangular fuzzy neutrosophic sets (TFNSs); probabilistic single-valued (interval) neutrosophic hesitant fuzzy set; neutro-homomorphism; neutrosophic computation; quantum computation; neutrosophic association rule; data mining; big data; oracle Turing machines; recursive enumerability; oracle computation; interval number; dependent degree; possibility degree; power aggregation operators; (...)
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  35. (5 other versions)The Encyclopedia of Neutrosophic Researchers, 1st volume.Florentin Smarandache - 2016 - Gallup, NM, USA: Neutrosophic Science International Association.
    This is the first volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The 78 authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. -/- Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many (...)
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  36. Neutrosophic Treatment of the Modified Simplex Algorithm to find the Optimal Solution for Linear Models.Maissam Jdid & Florentin Smarandache - 2023 - International Journal of Neutrosophic Science 23.
    Science is the basis for managing the affairs of life and human activities, and living without knowledge is a form of wandering and a kind of loss. Using scientific methods helps us understand the foundations of choice, decision-making, and adopting the right solutions when solutions abound and options are numerous. Operational research is considered the best that scientific development has provided because its methods depend on the application of scientific methods in solving complex issues and the optimal use of available (...)
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  37. The Neutrosophic Statistical Distribution- More Problems, More Solutions.S. K. Patro & Florentin Smarandache - 2016 - Neutrosophic Sets and Systems 12:73-79.
    In this paper , the authors explore neutrosophic statistics, that was initiated by Florentin Smarandache in 1998 and developed in 2014, by presenting various examples of several statistical distributions, from the work [1]. The paper is presented with more case studies, by means of which this neutrosophic version of statistical distribution becomes more pronounced.
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  38. Neutrosophic Social Structures Specificities.Florentin Smarandache - 2015 - Social Sciences and Education Research Review 1 (2):3-10.
    This paper is an extension of “(t, i, f)-Neutrosophic Structures” applicability , where were introduced for the first time a new type of structures, called (t, i, f)- Neutrosophic Structures, presented from a neutrosophic logic perspective.
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  39. Quadruple neutrosophic theory and applications.Florentin Smarandache, Memet Şahin, Vakkas Uluçay & Abdullah Kargın - 2020 - Brussels, Belgium: Pons Editions.
    Neutrosophic set has been derived from a new branch of philosophy, namely Neutrosophy. Neutrosophic set is capable of dealing with uncertainty, indeterminacy and inconsistent information. Neutrosophic set approaches are suitable to modeling problems with uncertainty, indeterminacy and inconsistent information in which human knowledge is necessary, and human evaluation is needed. Neutrosophic set theory firstly proposed in 1998 by Florentin Smarandache, who also developed the concept of single valued neutrosophic set, oriented towards real world scientific and (...)
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  40. Algebraic structures of neutrosophic triplets, neutrosophic duplets, or neutrosophic multisets. Volume II.Florentin Smarandache, Xiaohong Zhang & Mumtaz Ali - 2019 - Basel, Switzerland: MDPI.
    The topics approached in this collection of papers are: neutrosophic sets; neutrosophic logic; generalized neutrosophic set; neutrosophic rough set; multigranulation neutrosophic rough set (MNRS); neutrosophic cubic sets; triangular fuzzy neutrosophic sets (TFNSs); probabilistic single-valued (interval) neutrosophic hesitant fuzzy set; neutro-homomorphism; neutrosophic computation; quantum computation; neutrosophic association rule; data mining; big data; oracle Turing machines; recursive enumerability; oracle computation; interval number; dependent degree; possibility degree; power aggregation operators; multi-criteria group decision-making (...)
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  41. (t, i, f)-Neutrosophic Structures and I-Neutrosophic Structures (Revisited).Florentin Smarandache - 2015 - Neutrosophic Sets and Systems 8:3-9.
    This paper is an improvement of our paper “(t, i, f)-Neutrosophic Structures”, where we introduced for the first time a new type of structures, called (t, i, f)- Neutrosophic Structures, presented from a neutrosophic logic perspective, and we showed particular cases of such structures in geometry and in algebra.
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  42.  12
    Algebraic structures of neutrosophic triplets, neutrosophic duplets, or neutrosophic multisets.Florentin Smarandache, Xiaohong Zhang & Mumtaz Ali (eds.) - 2018 - Basel: MDPI.
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  43. Introduction to Plithogenic Logic as generalization of MultiVariate Logic.Florentin Smarandache - 2021 - Neutrosophic Sets and Systems 45 (1):1-7.
    A Plithogenic Logical proposition P is a proposition that is characterized by many degrees of truth-values with respect to many corresponding attribute-values (or random variables) that characterize P. Each degree of truth-value may be classical, fuzzy, intuitionistic fuzzy, neutrosophic, or other fuzzy extension type logic. At the end, a cumulative truth of P is computed.
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  44.  7
    Neutrosophic Interpretation of Tao Te Ching: English-Chinese Bilingual.Florentin Smarandache - 2011 - Glendale, AZ: Kappa & Omega Chinese Branch. Edited by Yuhua Fu.
    The purpose of this book is to extend the foundation and application range of 'Tao TeChing'. The reasons for this are as follows. Firstly, we are willing to point out that 'Tao TeChing' already has some limitation, because many questions we are interested in cannot beanswered within 'Tao Te Ching'. For example, 'Tao Te Ching' basically discussed the matters in China, however considering all possible situations it should matter in foreign countries as well, i.e. the global village. This was impossible (...)
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  45.  25
    Length Neutrosophic Subalgebras of BCK=BCI-Algebras.Young Bae Jun, Madad Khan, Florentin Smarandache & Seok-Zun Song - 2020 - Bulletin of the Section of Logic 49 (4):377-400.
    Given i, j, k ∈ {1,2,3,4}, the notion of -length neutrosophic subalgebras in BCK=BCI-algebras is introduced, and their properties are investigated. Characterizations of length neutrosophic subalgebras are discussed by using level sets of interval neutrosophic sets. Conditions for level sets of interval neutrosophic sets to be subalgebras are provided.
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  46.  22
    Decision-making with neutrosophic set: theory and applications in knowledge management.Harish Garg (ed.) - 2020 - New York: Nova Science Publishers.
    This book introduces readers to the concept of the neutrosophic set which can deal with dynamic and complex decision-making problems. With the complexity of the socio-economic environment, today's decision-making is one of the most notable ventures, whose mission is to decide the best alternative under numerous known or unknown criteria. This book provides a large amount of theoretical and practical information about the latest research in the field, allowing readers to gain an extensive understanding of both the fundamentals and (...)
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  47. Collected Papers (Neutrosophics and other topics), Volume XIV.Florentin Smarandache - 2022 - Miami, FL, USA: Global Knowledge.
    This fourteenth volume of Collected Papers is an eclectic tome of 87 papers in Neutrosophics and other fields, such as mathematics, fuzzy sets, intuitionistic fuzzy sets, picture fuzzy sets, information fusion, robotics, statistics, or extenics, comprising 936 pages, published between 2008-2022 in different scientific journals or currently in press, by the author alone or in collaboration with the following 99 co-authors (alphabetically ordered) from 26 countries: Ahmed B. Al-Nafee, Adesina Abdul Akeem Agboola, Akbar Rezaei, Shariful Alam, Marina Alonso, Fran Andujar, (...)
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  48. The Encyclopedia of Neutrosophic Researchers. Volume I.Florentin Smarandache - 2016 - Gallup, NM, USA: Neutrosophic Science International Association.
    This is the first volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life (...)
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  49. The Encyclopedia of Neutrosophic Researchers. Volume III.Florentin Smarandache - 2019 - Gallup, NM, USA: Neutrosophic Science International Association.
    This is the third volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life (...)
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  50. The Encyclopedia of Neutrosophic Researchers. Volume IV.Florentin Smarandache & Maikel Leyva Vázquez - 2021 - Gallup, NM, USA: Neutrosophic Science International Association.
    This is the fourth volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life (...)
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