19 found
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  1. Neutrosophic LA-Semigroup Rings.Mumtaz Ali, Florentin Smarandache & Luige Vladareanu - 2015 - Neutrosophic Sets and Systems 7:81-88.
    Neutrosophic LA-semigroup is a midway structure between a neutrosophic groupoid and a commutative neutrosophic semigroup. Rings are the old concept in algebraic structures. We combine the neutrosophic LA-semigroup and ring together to form the notion of neutrosophic LA-semigroup ring. Neutrosophic LAsemigroup ring is defined analogously to neutrosophic group ring and neutrosophic semigroup ring.
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  2. Soft Neutrosophic Ring and Soft Neutrosophic Field.Mumtaz Ali, Florentin Smarandache, Muhammad Shabir & Munazza Naz - 2014 - Neutrosophic Sets and Systems 3:53-59.
    In this paper we extend the theory of neutrosophic rings and neutrosophic fields to soft sets and construct soft neutrosophic rings and soft neutrosophic fields. We also extend neutrosophic ideal theory to form soft neutrosophic ideal over a neutrosophic ring and soft neutrosophic ideal of a soft neutrosophic ring . We have given many examples to illustrate the theory of soft neutrosophic rings and soft neutrosophic fields and display many properties of of these. At the end of this paper we (...)
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  3. Neutrosophic Bi-LA-Semigroup and Neutrosophic N-LASemigroup.Mumtaz Ali, Florentin Smarandache, Muhammad Shabir & Munazza Naz - 2014 - Neutrosophic Sets and Systems 4:19-24.
    In this paper we define neutrosophic bi-LAsemigroup and neutrosophic N-LA-semigroup. Infact this paper is an extension of our previous paper neutrosophic left almost semigroup shortly neutrosophic LAsemigroup. We also extend the neutrosophic ideal to neutrosophic biideal and neutrosophic N-ideal. We also find some new type of neutrosophic ideal which is related to the strong or pure part of neutrosophy. We have given sufficient amount of examples to illustrate the theory of neutrosophic bi-LA-semigroup, neutrosophic N-LAsemigroup and display many properties of them (...)
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  4. Generalization of Neutrosophic Rings and Neutrosophic Fields.Mumtaz Ali, Florentin Smarandache, Muhammad Shabir & Luige Vladareanu - 2014 - Neutrosophic Sets and Systems 5:9-14.
    In this paper we present the generalization of neutrosophic rings and neutrosophic fields. We also extend the neutrosophic ideal to neutrosophic biideal and neutrosophic N-ideal. We also find some new type of notions which are related to the strong or pure part of neutrosophy. We have given sufficient amount of examples to illustrate the theory of neutrosophic birings, neutrosophic N-rings with neutrosophic bifields and neutrosophic N-fields and display many properties of them in this paper.
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  5. Soft Neutrosophic Group.Muhammad Shabir, Mumtaz Ali, Munazza Naz & Florentin Smarandache - 2013 - Neutrosophic Sets and Systems 1:13-25.
    In this paper we extend the neutrosophic group and subgroup to soft neutrosophic group and soft neutrosophic subgroup respectively. Properties and theorems related to them are proved and many examples are given.
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  6. A New Approach to Multi-Spaces Through the Application of Soft Sets.Mumtaz Ali, Florentin Smarandache, Said Broumi & Muhammad Shabir - 2015 - Neutrosophic Sets and Systems 7:34-39.
    Multi-space is the notion combining different fields in to a unifying field, which is more applicable in our daily life. In this paper, we introduced the notion of multi-soft space which is the approximated collection of the multi-subspaces of a multi-space . Further, we defined some basic operations such as union, intersection, AND, OR etc. We also investigated some properties of multi-soft spaces.
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  7. Neutrosophic Left Almost Semigroup.Mumtaz Ali, Muhammad Shabir, Munazza Naz & Florentin Smarandache - 2014 - Neutrosophic Sets and Systems 3:18-28.
    In this paper we extend the theory of neutrosophy to study left almost semigroup shortly LAsemigroup. We generalize the concepts of LA-semigroup to form that for neutrosophic LA-semigroup. We also extend the ideal theory of LA-semigroup to neutrosophy and discuss different kinds of neutrosophic ideals. We also find some new type of neutrosophic ideal which is related to the strong or pure part of neutrosophy. We have given many examples to illustrate the theory of neutrosophic LA-semigroup and display many properties (...)
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  8. Soft Neutrosophic Loops and Their Generalization.Mumtaz Ali, Christopher Dyer, Muhammad Shabir & Florentin Smarandache - 2014 - Neutrosophic Sets and Systems 4:55-75.
    Soft set theory is a general mathematical tool for dealing with uncertain, fuzzy, not clearly defined objects. In this paper we introduced soft neutrosophic loop,soft neutosophic biloop, soft neutrosophic N -loop with the discuission of some of their characteristics. We also introduced a new type of soft neutrophic loop, the so called soft strong neutrosophic loop which is of pure neutrosophic character. This notion also found in all the other corresponding notions of soft neutrosophic thoery. We also given some of (...)
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  9. Soft Neutrosophic Bi-LA-semigroup and Soft Neutrosophic N-LA-semigroup.Mumtaz Ali, Florentin Smarandache & Muhammad Shabir - 2014 - Neutrosophic Sets and Systems 5:45-58.
    Soft set theory is a general mathematical tool for dealing with uncertain, fuzzy, not clearly defined objects. In this paper we introduced soft neutrosophic biLA-semigroup,soft neutosophic sub bi-LA-semigroup, soft neutrosophic N -LA-semigroup with the discuission of some of their characteristics. We also introduced a new type of soft neutrophic bi-LAsemigroup, the so called soft strong neutrosophic bi-LAsemigoup which is of pure neutrosophic character. This is also extend to soft neutrosophic strong N-LA-semigroup. We also given some of their properties of this (...)
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  10.  99
    Soft Neutrosophic Bigroup and Soft Neutrosophic N-Group.Mumtaz Ali, Florentin Smarandache, Muhammad Shabir & Munazza Naz - 2014 - Neutrosophic Sets and Systems 2:55-81.
    Soft neutrosophic group and soft neutrosophic subgroup are generalized to soft neutrosophic bigroup and soft neutrosophic N-group respectively in this paper. Different kinds of soft neutrosophic bigroup and soft neutrosophic N-group are given. The structural properties and theorems have been discussed with a lot of examples to disclose many aspects of this beautiful man made structure.
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  11.  87
    Generalization of Soft Neutrosophic Rings and Soft Neutrosophic Fields.Mumtaz Ali, Florentin Smarandache, Luige Vladareanu & Muhammad Shabir - 2014 - Neutrosophic Sets and Systems 6:35-41.
    In this paper we extend soft neutrosophic rings and soft neutrosophic fields to soft neutrosophic birings, soft neutrosophic N-rings and soft neutrosophic bifields and soft neutrosophic N-fields. We also extend soft neutrosophic ideal theory to form soft neutrosophic biideal and soft neutrosophic N-ideals over a neutrosophic biring and soft neutrosophic N-ring . We have given examples to illustrate the theory of soft neutrosophic birings, soft neutrosophic N-rings and soft neutrosophic fields and soft neutrosophic N-fields and display many properties of these.
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  12.  12
    Correlation of shyness with schooling, residential locality and socio- economic status at graduation level in pakistan.Saeed Anwar, Mumtaz Ali & Aazadi Fateh Muhammad - 2016 - Journal of Social Sciences and Humanities 55 (1):87-104.
    Shyness affects and influences the performance of the learners at school and college level. There are different correlates and reasons of shyness. Zimbardo states that Shyness is a vague concept which has many interpretations and definitions. One definition which is very renowned is that “The person, male or female, who is nervous, worried, and uncomfortable in the gathering or presence of others, is called shy”. The objectives of this research study were as: to investigate the relationship of schooling system with (...)
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  13.  15
    Mental health consequences of terrorism exposures among youth in pakistani society.Sadia Rafi, Mumtaz Ali & Irfan Nawaz - 2018 - Journal of Social Sciences and Humanities 57 (1):151-163.
    This study examines the mental health consequences of terrorism exposures among youth in Pakistani society. Using Taaro Yamni formula to draw the sample, research approached 399 youth aged 15-24 years. As a research tool, Impact of Event Scale was used with slight modifications. Using Statistical Package of Social Sciences v. 21and Stata v. 20, a multinomial model was applied to explore the relation between different variables. The major findings of the study are that a person who has personal exposure to (...)
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  14.  14
    Supply side determinants of child labor in punjab.Sadia Rafi & Mumtaz Ali - 2015 - Journal of Social Sciences and Humanities 54 (1):103-111.
    Children are an integral part of any society as they are not born to work but to study. Unfortunately children are facing hindrance either in economic term or in social term that forced them into labor work. Getting better idea of the real determinants of child labor can only provide the better policy options to tackle this menace. The major objective of the study is to highlight the supply-side determinants of child-labor in case of Punjab, Pakistan. Using data of Multiple (...)
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  15.  10
    Algebraic structures of neutrosophic triplets, neutrosophic duplets, or neutrosophic multisets.Florentin Smarandache, Xiaohong Zhang & Mumtaz Ali (eds.) - 2018 - Basel: MDPI.
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  16. 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; multi-criteria group decision-making (MCGDM); expert set; soft sets; LA-semihypergroups; single valued (...)
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  17. 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 (MCGDM); expert set; soft sets; LA-semihypergroups; single valued trapezoidal neutrosophic number; (...)
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  18. SOFT NEUTROSOPHIC ALGEBRAIC STRUCTURES AND THEIR GENERALIZATION, Vol. 1.Florentin Smarandache, Mumtaz Ali & Muhammad Shabir - 2014 - Columbus, OH, USA: Educational Publisher.
    In this book the authors introduced the notions of soft neutrosophic algebraic structures. These soft neutrosophic algebraic structures are basically defined over the neutrosophic algebraic structures which means a parameterized collection of subsets of the neutrosophic algebraic structure. For instance, the existence of a soft neutrosophic group over a neutrosophic group or a soft neutrosophic semigroup over a neutrosophic semigroup, or a soft neutrosophic field over a neutrosophic field, or a soft neutrosophic LA-semigroup over a neutrosophic LAsemigroup, or a soft (...)
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  19.  97
    SOFT NEUTROSOPHIC ALGEBRAIC STRUCTURES AND THEIR GENERALIZATION, Vol. 2.Florentin Smarandache, Mumtaz Ali & Muhammad Shabir - 2014 - Columbus, OH, USA: Educational Publisher.
    In this book we define some new notions of soft neutrosophic algebraic structures over neutrosophic algebraic structures. We define some different soft neutrosophic algebraic structures but the main motivation is two-fold. Firstly the classes of soft neutrosophic group ring and soft neutrosophic semigroup ring defined in this book is basically the generalization of two classes of rings: neutrosophic group rings and neutrosophic semigroup rings. These soft neutrosophic group rings and soft neutrosophic semigroup rings are defined over neutrosophic group rings and (...)
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