Results 21 to 30 of about 41,816 (305)
On Fuzzy Groups and Group Homomorphism
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 In this paper, we study the effect of group homomorphism on the chain of level subgroups of fuzzy groups. We prove a necessary and sufficient conditions under which the chains of level subgroups of homomorphic images of an a arbitrary fuzzy group can be
L. N. M. Tawfiq, M. M. Qa'aed
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Interval-valued intuitionistic fuzzy topological groups: Some properties [PDF]
Notes on IFS, 2023 In this study, we introduce the concepts of interval-valued intuitionistic fuzzy group (abbreviated IVIFG), interval-valued intuitionistic fuzzy topological group (abbreviated IVIFTG), and interval-valued intuitionistic fuzzy product topology ...
R. Santhi, N. Udhayarani
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Bipolar Fuzzy Magnified Translations in Groups
International Journal of Analysis and Applications, 2022 In this paper, we define a bipolar fuzzy magnified translation (BFMT) of a bipolar fuzzy subgroup (BFSG) of a group. Based on this concept we have also developed some important results and theorems on bipolar fuzzy groups.
U. Venkata Kalyani +3 more
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Fuzzy group identification problems [PDF]
Fuzzy Sets and Systems, 2022 We present a fuzzy version of the Group Identification Problem ("Who is a J?") introduced by Kasher and Rubinstein (1997). We consider a class $N = \{1,2,\ldots,n\}$ of agents, each one with an opinion about the membership to a group J of the members of the society, consisting in a function $π: N \to [0; 1]$, indicating for each agent, including ...
Federico Fioravanti, Fernando Tohmé
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Academic Science Journal, 2023 The aim of this work is to construct a new structure which is called fuzzy group bornology to solve the problem of bounded for fuzzy group. Furthermore, we explain that the intersection of collections of fuzzy bornological groups is a fuzzy ...
Amal O. Elewi, Anwar N. Imran
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CHARACTERISTIC FUZZY GROUPS [PDF]
Communications of the Korean Mathematical Society, 2003 Summary: We define the notion of a characteristic fuzzy subgroup which is the analogue of a characteristic subgroup in the ordinary group theory and derive various new ones from a given characteristic fuzzy subgroup.
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Construction of Nilpotent and Solvable Lie Algebra in Picture Fuzzy Environment
International Journal of Computational Intelligence Systems, 2023 The picture fuzzy set was introduced by Coung. It is a generalization of the intuitionistic fuzzy set, giving the notion of neutral membership degrees along with the positive and negative ones.
Sajida Kousar +3 more
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Ratio Mathematica, 2021 Fuzzy semigroup is an algebraic extension of semigroup. It has found application in fuzzy coding theory, fuzzy nite state machines and fuzzy languages. In this paper, a comprehensive literature review on fuzzy semigroup theory is realized.
Johnson Aderemi Awolola +1 more
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Gradual Sets: An Approach to Fuzzy Sets
Advances in Fuzzy Systems, 2023 In the fuzzy theory of sets and groups, the use of α-levels is a standard to translate problems from the fuzzy to the crisp framework. Using strong α-levels, it is possible to establish a one to one correspondence which makes possible doubly, a gradual ...
Josefa M. García, Pascual Jara
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Journal of New Theory, 2020 In 2010, Torra introduced the notion of a hesitant fuzzy set, which is a generalization of Zadeh's fuzzy set. In the paper, we define two rough operators on hesitant fuzzy group by means of a normal hesitant fuzzy subgroup and investigate some of their
Xueyou Chen
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