scholarly journals Characterizations of Non-associative Rings by Their Intuitionistic Fuzzy Bi-ideals

2019 ◽  
Vol 12 (1) ◽  
pp. 226-250 ◽  
Author(s):  
Nasreen Kausar ◽  
Muhammad Azam Waqar
Keyword(s):  
Algebraic Structures ◽  
Intuitionistic Fuzzy ◽  
Associative Rings

The purpose of this paper is to initiate and study on the generalization of the fuzzification of ideals in a class of non-associative and non-commutative algebraic structures (LA-ring). We characterize different classes of LA-ring in terms of intuitionistic fuzzy left (resp. right, bi-, generalized bi-, (1,2)-) ideals. 

scholarly journals Direct Product of Finite Intuitionistic Anti Fuzzy Normal Subrings over Non-associative Rings

2019 ◽  
Vol 12 (2) ◽  
pp. 622-648 ◽  
Author(s):  
Nasreen Kausar
Keyword(s):  
Direct Product ◽  
Associative Ring ◽  
Intuitionistic Fuzzy ◽  
Associative Rings

Shal et. al cite:SKR, have introduced the concept of intuitionistic fuzzy normal subrings over a non-associative ring. In this paper, we investigate the concept of intuitionistic anti fuzzy normal subrings over non-associative rings and give some properties of such subrings

scholarly journals Indeterminacy in Neutrosophic Theories and their Applications

2021 ◽  
Author(s):  
Florentin Smarandache ◽  
Keyword(s):  
Fuzzy Set ◽  
Neutrosophic Set ◽  
Algebraic Structures ◽  
Classical Probability ◽  
Broad Definition ◽  
Practical Applications ◽  
Intuitionistic Fuzzy ◽  
Classical Statistics ◽  
Definition Of

Indeterminacy makes the main distinction between fuzzy/intuitionistic fuzzy (and other extensions of fuzzy) set/logic vs. neutrosophic set/logic, and between classical probability and neutrosophic probability. Also, between classical statistics vs. neutrosophic and plithogenic statistics, between classical algebraic structures vs. neutrosophic algebraic structures, between crisp numbers vs. neutrosophic numbers. We present a broad definition of indeterminacy, various types of indeterminacies, and many practical applications.

scholarly journals Literature Survey on Non-Associative Rings and Developments

2019 ◽  
Vol 12 (2) ◽  
pp. 370-408 ◽  
Author(s):  
Syed Tariq Shah ◽  
Asima Razzaque ◽  
Inayatur Rehman ◽  
Muhammad Asif Gondal ◽  
Muhammad Iftikhar Faraz ◽  
...  
Keyword(s):  
Literature Survey ◽  
Point Of View ◽  
Theoretical Point ◽  
Algebraic Structures ◽  
Comprehensive Survey ◽  
Associative Rings

In this paper we present a comprehensive survey and developments of existing literature of non-associative rings and enumerate some of their various applications in different directions to date. These applications explain the voluminous work in different fields of non-associative rings and through which various algebraic structures in theoretical point of view could be developed.

Introduction to Plithogenic Subgroup

2020 ◽  
pp. 213-259 ◽  
Author(s):  
Sudipta Gayen ◽  
Florentin Smarandache ◽  
Sripati Jha ◽  
Manoranjan Kumar Singh ◽  
Said Broumi ◽  
...  
Keyword(s):  
Algebraic Structures ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Subgroup ◽  
Fuzzy Subgroups

This chapter gives some essential scopes to study some plithogenic algebraic structures. Here the notion of plithogenic subgroup has been introduced and explored. It has been shown that subgroups defined earlier in the crisp, fuzzy, intuitionistic fuzzy, as well as neutrosophic environments, can also be represented as plithogenic fuzzy subgroups. Furthermore, introducing function in plithogenic setting, some homomorphic characteristics of plithogenic fuzzy subgroup have been studied. Also, the notions of plithogenic intuitionistic fuzzy subgroup, plithogenic neutrosophic subgroup have been introduced and their homomorphic characteristics have been analyzed.

scholarly journals Intuitionistic Fuzzy Normal subrings over a non-associative ring

2012 ◽  
Vol 20 (1) ◽  
pp. 369-386
Author(s):  
Tariq Shah ◽  
Nasreen Kausar ◽  
Inayatur Rehman
Keyword(s):  
Associative Ring ◽  
Intuitionistic Fuzzy ◽  
Associative Rings

Abstract N. Palaniappan et. al [20, 28] have investigated the concept of intuitionistic fuzzy normal subrings in associative rings. In this study we extend these notions for a class of non-associative rings

Decision making based on intuitionistic fuzzy preference relations with additive approximate consistency

2020 ◽  
Vol 39 (3) ◽  
pp. 4041-4058
Author(s):  
Fang Liu ◽  
Xu Tan ◽  
Hui Yang ◽  
Hui Zhao
Keyword(s):  
Decision Making ◽  
Decision Makers ◽  
Real Interval ◽  
Preference Relations ◽  
Intuitionistic Fuzzy ◽  
Proposed Model ◽  
Fuzzy Preference Relations ◽  
Novel Concept ◽  
Fuzzy Weights ◽  
Fuzzy Preference

Intuitionistic fuzzy preference relations (IFPRs) have the natural ability to reflect the positive, the negative and the non-determinative judgements of decision makers. A decision making model is proposed by considering the inherent property of IFPRs in this study, where the main novelty comes with the introduction of the concept of additive approximate consistency. First, the consistency definitions of IFPRs are reviewed and the underlying ideas are analyzed. Second, by considering the allocation of the non-determinacy degree of decision makers’ opinions, the novel concept of approximate consistency for IFPRs is proposed. Then the additive approximate consistency of IFPRs is defined and the properties are studied. Third, the priorities of alternatives are derived from IFPRs with additive approximate consistency by considering the effects of the permutations of alternatives and the allocation of the non-determinacy degree. The rankings of alternatives based on real, interval and intuitionistic fuzzy weights are investigated, respectively. Finally, some comparisons are reported by carrying out numerical examples to show the novelty and advantage of the proposed model. It is found that the proposed model can offer various decision schemes due to the allocation of the non-determinacy degree of IFPRs.

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