Results for 'Fuzzy logic'

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  1. Fuzzy Logic and Approximate Reasoning.L. A. Zadeh - 1975 - Synthese 30 (3-4):407-428.
    The term fuzzy logic is used in this paper to describe an imprecise logical system, FL, in which the truth-values are fuzzy subsets of the unit interval with linguistic labels such as true, false, not true, very true, quite true, not very true and not very false, etc. The truth-value set, , of FL is assumed to be generated by a context-free grammar, with a semantic rule providing a means of computing the meaning of each linguistic truth-value (...)
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  2.  87
    Intuitionistic Fuzzy Logic and Intuitionistic Fuzzy Set Theory.Gaisi Takeuti & Satoko Titani - 1984 - Journal of Symbolic Logic 49 (3):851-866.
  3. Deviant Logic, Fuzzy Logic: Beyond the Formalism.Achille C. Varzi & Susan Haack - 1998 - Philosophical Review 107 (3):468.
    This book has three main parts. The first, longer, part is a reprint of the author's Deviant Logic, which initially appeared as a book by itself in 1974. The second and third parts include reprints of five papers originally published between 1973 and 1980. Three of them focus on the nature and justification of deductive reasoning, which are also a major concern of Deviant Logic. The other two are on fuzzy logic, and make up for a (...)
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  4.  10
    Fuzzy Logic and Fuzzy Set Theory.Gaisi Takeuti & Satoko Titani - 1992 - Archive for Mathematical Logic 32 (1):1-32.
  5. An Introduction to Fuzzy Logic for Practical Applications.Kazuo Tanaka - 1997 - Springer.
    Fuzzy logic has become an important tool for a number of different applications ranging from the control of engineering systems to artificial intelligence. In this concise introduction, the author presents a succinct guide to the basic ideas of fuzzy logic, fuzzy sets, fuzzy relations, and fuzzy reasoning, and shows how they may be applied. The book culminates in a chapter which describes fuzzy logic control: the design of intelligent control systems using (...)
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  6.  41
    Fuzzy Logic and Arithmetical Hierarchy III.Petr Hájek - 2001 - Studia Logica 68 (1):129-142.
    Fuzzy logic is understood as a logic with a comparative and truth-functional notion of truth. Arithmetical complexity of sets of tautologies and satisfiable sentences as well of sets of provable formulas of the most important systems of fuzzy predicate logic is determined or at least estimated.
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  7.  32
    On Fuzzy Logic I Many‐Valued Rules of Inference.Jan Pavelka - 1979 - Mathematical Logic Quarterly 25 (3‐6):45-52.
  8.  31
    On Fuzzy Logic I Many-Valued Rules of Inference.Jan Pavelka - 1979 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 25 (3-6):45-52.
  9.  30
    On Fuzzy Logic III. Semantical Completeness of Some Many‐Valued Propositional Calculi.Jan Pavelka - 1979 - Mathematical Logic Quarterly 25 (25‐29):447-464.
  10.  28
    On Fuzzy Logic III. Semantical Completeness of Some Many-Valued Propositional Calculi.Jan Pavelka - 1979 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 25 (25-29):447-464.
  11.  24
    Fuzzy Logic and Nursing.Eun-Ok Im & Wonshik Chee - 2003 - Nursing Philosophy 4 (1):53-60.
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  12. Fuzzy Logic: Mathematical Tools for Approximate Reasoning.Giangiacomo Gerla - 2003 - Bulletin of Symbolic Logic 9 (4):510-511.
     
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  13.  64
    Fuzzy Logic Programming and Fuzzy Control.Giangiacomo Gerla - 2005 - Studia Logica 79 (2):231-254.
    We show that it is possible to base fuzzy control on fuzzy logic programming. Indeed, we observe that the class of fuzzy Herbrand interpretations gives a semantics for fuzzy programs and we show that the fuzzy function associated with a fuzzy system of IF-THEN rules is the fuzzy Herbrand interpretation associated with a suitable fuzzy program.
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  14. Deviant Logic, Fuzzy Logic: Beyond the Formalism.Susan Haack - 1996 - University of Chicago Press.
    Initially proposed as rivals of classical logic, alternative logics have become increasingly important in areas such as computer science and artificial intelligence. Fuzzy logic, in particular, has motivated major technological developments in recent years. Susan Haack's Deviant Logic provided the first extended examination of the philosophical consequences of alternative logics. In this new volume, Haack includes the complete text of Deviant Logic , as well as five additional papers that expand and update it. Two of (...)
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  15. Vagueness in Language: The Case Against Fuzzy Logic Revisited.Uli Sauerland - manuscript
    Kamp and Fine presented an influential argument against the use of fuzzy logic for linguistic semantics in 1975. However, the argument assumes that contradictions of the form "A and not A" have semantic value zero. The argument has been recently criticized because sentences of this form are actually not perceived as contradictory by naive speakers. I present new experimental evidence arguing that fuzzy logic still isn't useful for linguistic semantics even if we take such naive speaker (...)
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  16.  15
    Fuzzy Logic.Petr Hajek - 2008 - Stanford Encyclopedia of Philosophy.
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  17.  22
    On Fuzzy Logic II. Enriched Residuated Lattices and Semantics of Propositional Calculi.Jan Pavelka - 1979 - Mathematical Logic Quarterly 25 (7‐12):119-134.
  18.  18
    Fuzzy Logic, Continuity and Effectiveness.Loredana Biacino & Giangiacomo Gerla - 2002 - Archive for Mathematical Logic 41 (7):643-667.
    It is shown the complete equivalence between the theory of continuous (enumeration) fuzzy closure operators and the theory of (effective) fuzzy deduction systems in Hilbert style. Moreover, it is proven that any truth-functional semantics whose connectives are interpreted in [0,1] by continuous functions is axiomatizable by a fuzzy deduction system (but not by an effective fuzzy deduction system, in general).
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  19.  36
    Fuzzy Logic and Arithmetical Hierarchy, II.Petr Hájek - 1997 - Studia Logica 58 (1):129-141.
    A very simple many-valued predicate calculus is presented; a completeness theorem is proved and the arithmetical complexity of some notions concerning provability is determined.
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  20.  25
    On Fuzzy Logic II. Enriched Residuated Lattices and Semantics of Propositional Calculi.Jan Pavelka - 1979 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 25 (7-12):119-134.
  21.  36
    Mathematical Fuzzy Logic – What It Can Learn From Mostowski and Rasiowa.Petr Hájek - 2006 - Studia Logica 84 (1):51-62.
    Important works of Mostowski and Rasiowa dealing with many-valued logic are analyzed from the point of view of contemporary mathematical fuzzy logic.
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  22. Fuzzy Logic and Higher-Order Vagueness.Nicholas J. J. Smith - 2011 - In Petr Cintula, Christian G. Fermüller, Lluis Godo & Petr Hájek (eds.), Understanding Vagueness: Logical, Philosophical and Linguistic Perspectives. College Publications. pp. 1--19.
    The major reason given in the philosophical literature for dissatisfaction with theories of vagueness based on fuzzy logic is that such theories give rise to a problem of higherorder vagueness or artificial precision. In this paper I first outline the problem and survey suggested solutions: fuzzy epistemicism; measuring truth on an ordinal scale; logic as modelling; fuzzy metalanguages; blurry sets; and fuzzy plurivaluationism. I then argue that in order to decide upon a solution, we (...)
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  23.  42
    Birkhoff Variety Theorem and Fuzzy Logic.Radim Bělohlávek - 2003 - Archive for Mathematical Logic 42 (8):781-790.
    An algebra with fuzzy equality is a set with operations on it that is equipped with similarity ≈, i.e. a fuzzy equivalence relation, such that each operation f is compatible with ≈. Described verbally, compatibility says that each f yields similar results if applied to pairwise similar arguments. On the one hand, algebras with fuzzy equalities are structures for the equational fragment of fuzzy logic. On the other hand, they are the formal counterpart to the (...)
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  24.  8
    Formal Systems of Fuzzy Logic and Their Fragments.Petr Cintula, Petr Hájek & Rostislav Horčík - 2007 - Annals of Pure and Applied Logic 150 (1-3):40-65.
    Formal systems of fuzzy logic are well-established logical systems and respected members of the broad family of the so-called substructural logics closely related to the famous logic BCK. The study of fragments of logical systems is an important issue of research in any class of non-classical logics. Here we study the fragments of nine prominent fuzzy logics to all sublanguages containing implication. However, the results achieved in the paper for those nine logics are usually corollaries of (...)
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  25.  23
    Omitting Types in Fuzzy Logic with Evaluated Syntax.Petra Murinová & Vilém Novák - 2006 - Mathematical Logic Quarterly 52 (3):259-268.
    This paper is a contribution to the development of model theory of fuzzy logic in narrow sense. We consider a formal system EvŁ of fuzzy logic that has evaluated syntax, i. e. axioms need not be fully convincing and so, they form a fuzzy set only. Consequently, formulas are provable in some general degree. A generalization of Gödel's completeness theorem does hold in EvŁ. The truth values form an MV-algebra that is either finite or Łukasiewicz (...)
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  26. Using Fuzzy Logic: Towards Intelligent Systems.Jun Yan - 1994 - Prentice-Hall.
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  27.  15
    Hájek Basic Fuzzy Logic and Łukasiewicz Infinite-Valued Logic.Roberto Cignoli & Antoni Torrens - 2003 - Archive for Mathematical Logic 42 (4):361-370.
    . Using the theory of BL-algebras, it is shown that a propositional formula ϕ is derivable in Łukasiewicz infinite valued Logic if and only if its double negation ˜˜ϕ is derivable in Hájek Basic Fuzzy logic. If SBL is the extension of Basic Logic by the axiom ) → ψ, then ϕ is derivable in in classical logic if and only if ˜˜ ϕ is derivable in SBL. Axiomatic extensions of Basic Logic are in (...)
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  28.  21
    On Witnessed Models in Fuzzy Logic II.Petr Hájek - 2007 - Mathematical Logic Quarterly 53 (6):610-615.
    First the expansion of the Łukasiewicz logic by the unary connectives of dividing by any natural number is studied; it is shown that in the predicate case the expansion is conservative w.r.t. witnessed standard 1-tautologies. This result is used to prove that the set of witnessed standard 1-tautologies of the predicate product logic is Π2-hard.
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  29.  26
    Fuzzy Logic and Strategic Management: An Application of Ragin’s Fuzzy-Set Methods.Özlem Öz - 2005 - Philosophy of Management 5 (1):55-66.
    The main purpose of this article is to bring Ragin’s recent methodological contributions, which build on ideas borrowed from fuzzy logic, to the attention of management scholars. To demonstrate the possible use of the techniques developed by Ragin in management research, three specific examples for their likely applications are presented: the replications of Porter’s diamond framework for Turkey, Greece and Canada. The article concludes that Ragin’s systematic techniques prove helpful in making explicit the process of comparing qualitative evidence (...)
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  30.  85
    The Liar Paradox and Fuzzy Logic.Petr Hájek, Jeff Paris & John Shepherdson - 2000 - Journal of Symbolic Logic 65 (1):339-346.
    Can one extend crisp Peano arithmetic PA by a possibly many-valued predicate Tr(x) saying "x is true" and satisfying the "dequotation schema" $\varphi \equiv \text{Tr}(\bar{\varphi})$ for all sentences φ? This problem is investigated in the frame of Lukasiewicz infinitely valued logic.
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  31.  21
    Concepts and Fuzzy Logic.Radim Belohlavek & George J. Klir (eds.) - 2011 - MIT Press.
    In this work - both psychologists working on concepts and mathematicians working on fuzzy logic - reassess the usefulness of fuzzy logic for the psychology of concepts.
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  32.  9
    On Witnessed Models in Fuzzy Logic.Petr Hájek - 2007 - Mathematical Logic Quarterly 53 (1):66-77.
    Witnessed models of fuzzy predicate logic are models in which each quantified formula is witnessed, i.e. the truth value of a universally quantified formula is the minimum of the values of its instances and similarly for existential quantification. Systematic theory of known fuzzy logics endowed with this semantics is developed with special attention paid to problems of arithmetical complexity of sets of tautologies and of satisfiable formulas.
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  33.  30
    Logics of Formal Inconsistency Arising From Systems of Fuzzy Logic.Marcelo E. Coniglio, Francesc Esteva & Lluís Godo - 2014 - Logic Journal of the IGPL 22 (6):880-904.
    This article proposes the meeting of fuzzy logic with paraconsistency in a very precise and foundational way. Specifically, in this article we introduce expansions of the fuzzy logic MTL by means of primitive operators for consistency and inconsistency in the style of the so-called Logics of Formal Inconsistency (LFIs). The main novelty of the present approach is the definition of postulates for this type of operators over MTL-algebras, leading to the definition and axiomatization of a family (...)
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  34.  58
    An Introduction to Many-Valued and Fuzzy Logic: Semantics, Algebras, and Derivation Systems.Merrie Bergmann - 2008 - Cambridge University Press.
    Professor Merrie Bergmann presents an accessible introduction to the subject of many-valued and fuzzy logic designed for use on undergraduate and graduate courses in non-classical logic. Bergmann discusses the philosophical issues that give rise to fuzzy logic - problems arising from vague language - and returns to those issues as logical systems are presented. For historical and pedagogical reasons, three-valued logical systems are presented as useful intermediate systems for studying the principles and theory behind (...) logic. The major fuzzy logical systems - Lukasiewicz, Gödel, and product logics - are then presented as generalisations of three-valued systems that successfully address the problems of vagueness. A clear presentation of technical concepts, this book includes exercises throughout the text that pose straightforward problems, that ask students to continue proofs begun in the text, and that engage students in the comparison of logical systems. (shrink)
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  35.  19
    Interpolation in Fuzzy Logic.Matthias Baaz & Helmut Veith - 1999 - Archive for Mathematical Logic 38 (7):461-489.
    We investigate interpolation properties of many-valued propositional logics related to continuous t-norms. In case of failure of interpolation, we characterize the minimal interpolating extensions of the languages. For finite-valued logics, we count the number of interpolating extensions by Fibonacci sequences.
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  36. Fuzzy Logic: Computers, Education, and Language in a Techno-Illogical World.Ellen Rose - 2002 - Bulletin of Science, Technology and Society 22 (6):513-517.
    This article disrupts the logic of the “just-a-tool” argument, a powerful rhetorical device commonly offered as a rationale for using computers in education. Although this argument is articulated in many ways, its essence is the contention that computers are merely instructional tools, like blackboards or pencils, that can be used to enhance learning and therefore should be used in classrooms. The just-a-tool argument is difficult to challenge because it automatically constructs counterarguments as illogical; they necessarily become arguments against using (...)
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  37.  75
    On Vague Objects, Fuzzy Logic and Fractal Boundaries.B. Jack Copeland - 1995 - Southern Journal of Philosophy 33 (S1):83-96.
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  38. Why Fuzzy Logic.E. H. Ruspini & E. H. Mamdani - 1998 - In Enrique H. Ruspini, Piero Patrone Bonissone & Witold Pedrycz (eds.), Handbook of Fuzzy Computation. Institute of Physics.
     
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  39.  54
    First-Order Fuzzy Logic.Vilém Novák - 1987 - Studia Logica 46 (1):87 - 109.
    This paper is an attempt to develop the many-valued first-order fuzzy logic. The set of its truth, values is supposed to be either a finite chain or the interval 0, 1 of reals. These are special cases of a residuated lattice L, , , , , 1, 0. It has been previously proved that the fuzzy propositional logic based on the same sets of truth values is semantically complete. In this paper the syntax and semantics of (...)
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  40.  7
    The Fuzzy Logic of Religious Discourse.Michael Raposa - 1993 - American Journal of Semiotics 10 (1/2):101-113.
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  41.  15
    Fuzzy Logic and Nursing.C. N. S. RN & Wonshik Chee PhD - 2003 - Nursing Philosophy 4 (1):53–60.
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  42. Fuzzy Logic.Kazem Sadegh-Zadeh - 2nd ed. 2015 - In Handbook of Analytic Philosophy of Medicine. Springer Verlag.
     
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  43.  2
    Fuzzy Logic Approach to Modelling in Ecosystem Research.A. Salski & C. Sperlbaum - 1991 - In B. Bouchon-Meunier, R. R. Yager & L. A. Zadeh (eds.), Uncertainty in Knowledge Bases. Springer. pp. 520--527.
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  44.  5
    Can Fuzzy Logic Help to Pose Some Problems in the Philosophy of Science?Alejandro Sobrino & Enric Trillas - 1997 - Poznan Studies in the Philosophy of the Sciences and the Humanities 61:277-300.
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  45. Fuzzy Logic and Modal Logic.Günter Todt - 1983 - In Thomas T. Ballmer & Manfred Pinkal (eds.), Approaching Vagueness. Elsevier. pp. 213--260.
     
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  46.  2
    Fuzzy Logic.Ronald R. Yager - 2003 - In L. Nadel (ed.), Encyclopedia of Cognitive Science. Nature Publishing Group.
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  47.  10
    On Witnessed Models in Fuzzy Logic III - Witnessed Gödel Logics.Petr Häjek - 2010 - Mathematical Logic Quarterly 56 (2):171-174.
    Gödel logics with truth sets being countable closed subsets of the unit real interval containing 0 and 1 are studied under their usual semantics and under the witnessed semantics, the latter admitting only models in which the truth value of each universally quantified formula is the minimum of truth values of its instances and dually for existential quantification and maximum. An infinite system of such truth sets is constructed such that under the usual semantics the corresponding logics have pairwise different (...)
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  48. Vague Identity and Fuzzy Logic.B. Jack Copeland - 1997 - Journal of Philosophy 94 (10):514-534.
  49.  26
    Fuzzy Logic and Applications: 5th International Workshop, Wilf 2003, Naples, Italy, October 9-11, 2003: Revised Selected Papers. [REVIEW]V. Di Gesù, F. Masulli & Alfredo Petrosino (eds.) - 2006 - Springer.
    This volume constitutes the thoroughly refereed post-workshop proceedings of the 5th International Workshop on Fuzzy Logic and Applications held in Naples, Italy, in October 2003. The 40 revised full papers presented have gone through two rounds of reviewing and revision. All current issues of theoretical, experimental and applied fuzzy logic and related techniques are addressed with special attention to rough set theory, neural networks, genetic algorithms and soft computing. The papers are organized in topical section on (...)
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  50.  80
    The Application of Fuzzy Logic to the Precautionary Principle.Mirit Shamir, Lior Shamir & Mary H. Durfee - 2007 - Artificial Intelligence and Law 15 (4):411-427.
    One of the major problems in the implementation of the precautionary principle in environmental cases is the estimation of the weight of evidence. In this paper we propose a formal method that determines the weight of evidence based on the specific parameters of a given case. The proposed method is based on an artificial intelligence approach called fuzzy logic, which is commonly used as an interface between logic and human perception, and often applied to computer-based complex decision (...)
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