A Short Note On The Kernel Subgroup Of Intuitionistic Fuzzy Groups

Bal, Mikail; Ahmad, Katy D.; Hajjari, Arwa A.; Ali, Rozina

doi:10.54216/jnfs.020102

Cited by 7 publications

(4 citation statements)

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“…Garg et al, [14] discussed two more measures for IF sets. Jia and Wang [15] evaluated Choquet aggregation operators using integralbased IF information, and Bal et al, [16], developed the theory of subgroup in relation to IF sets. Panda and Nagwani [17] established infection preparation created on well-organized software for IF evidence, and Gu et al, [18] observed the risk calculation model for IF material.…”

Section: Introductionmentioning

confidence: 99%

Multi-Attribute Decision-Making for T-Spherical Fuzzy Information Utilizing Schweizer-Sklar Prioritized Aggregation Operators for Recycled Water

Sarfraz

2024

Decis. Mak. Adv.

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To handle problematic and ambiguous data, Schweizer and Sklar added a parameter p in 1960, which helped to develop the theory of SS t-norm (SSTN) and t-conorm (SSTCN). The parameter p=-1.1 can be used to easily derive the information of the Hamacher and Lukasiewicz t-norms. Furthermore, prioritized aggregation operators (PAOs) choose which data will be collected into a singleton set. The main contribution of this work is the construction of new aggregation operators for T-spherical fuzzy (T-SF) information based on SS t-norm and t-conorm. Moreover, the fundamental characteristics of the operators are identified. Further, we developed MADM (Multi-Attribute Decision-Making) models and deduced several useful properties from the operators T-SFSSPA, T-SFSSWPA, T-SFSSPG, and T-SFSSWPG. Finally, using an actual case study, we were able to draw the conclusion that, in comparison to the ground-breaking and current methods to enhance the value and capability of the diagnosed operators, the proposed MADM algorithm performs noticeably better than the operators in place for resolving the water recycling problem in a way that is easy to understand.

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Section: Introductionmentioning

confidence: 99%

Multi-Attribute Decision-Making for T-Spherical Fuzzy Information Utilizing Schweizer-Sklar Prioritized Aggregation Operators for Recycled Water

Sarfraz

2024

Decis. Mak. Adv.

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“…For more development on

, we refer to Refs. [ [28] , [29] , [30] , [31] , [32] ]. In addition, the ideas of an intuitionistic fuzzy ring [ 33 ], an intuitionistic fuzzy ideal [ 34 ], an intuitionistic fuzzy normed ring [ 35 ], an intuitionistic fuzzy soft ring [ 36 ], and an intuitionistic fuzzy normal subring [ 37 ] were proposed.…”

Section: Introductionmentioning

confidence: 99%

Application of t-intuitionistic fuzzy subgroup to Sylow theory

Latif,

Shuaib

2023

Heliyon

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“…Tarsuslu et al [ 24 ] generalized the action of a group on a set to intuitionistic fuzzy action. Bal et al [ 25 ] investigated the kernel subgroup of intuitionistic fuzzy subgroups.…”

Section: Introductionmentioning

confidence: 99%

Homomorphisms of Lattice-Valued Intuitionistic Fuzzy Subgroup Type-3

Kousar

Saleem

Kausar

et al. 2022

Computational Intelligence and Neuroscience

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The lattice-valued intuitionistic fuzzy set was introduced by Gerstenkorn and Tepavcevi as a generalization of both the fuzzy set and the L -fuzzy set by incorporating membership functions, nonmembership functions from a nonempty set X to any lattice L , and lattice homomorphism from L to the interval 0,1 . In this article, lattice-valued intuitionistic fuzzy subgroup type-3 (LIFSG-3) is introduced. Lattice-valued intuitionistic fuzzy type-3 normal subgroups, cosets, and quotient groups are defined, and their group theocratic properties are compared with the concepts in classical group theory. LIFSG-3 homomorphism is established and examined in relation to group homomorphism. The research findings are supported by provided examples in each section.

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A Short Note On The Kernel Subgroup Of Intuitionistic Fuzzy Groups

Cited by 7 publications

References 0 publications

Multi-Attribute Decision-Making for T-Spherical Fuzzy Information Utilizing Schweizer-Sklar Prioritized Aggregation Operators for Recycled Water

Multi-Attribute Decision-Making for T-Spherical Fuzzy Information Utilizing Schweizer-Sklar Prioritized Aggregation Operators for Recycled Water

Application of t-intuitionistic fuzzy subgroup to Sylow theory

Homomorphisms of Lattice-Valued Intuitionistic Fuzzy Subgroup Type-3

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