Some Algebraic Characteristics of Bipolar-Valued Fuzzy Subgroups over a Certain Averaging Operator and Its Application in Multi-Criteria Decision Making

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DOI: https://doi.org/10.28924/2291-8639-23-2025-54
Published: Mar 3, 2025
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Aqsa Zafar Abbasi, Ayesha Rafiq, Umar Ishtiaq, SanaUllah Saqib, Salvatore Sessa, Some Algebraic Characteristics of Bipolar-Valued Fuzzy Subgroups over a Certain Averaging Operator and Its Application in Multi-Criteria Decision Making, Int. J. Anal. Appl., 23 (2025), 54.

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Aqsa Zafar Abbasi, Ayesha Rafiq, Umar Ishtiaq, SanaUllah Saqib, Salvatore Sessa

Abstract

In this manuscript, we introduce the concepts of ψ-bipolar-valued fuzzy set (ψ-BVFS), ψ-bipolar-valued fuzzy normal subgroup (ψ-BVFNSG), cut sets Mψ(υ,χ)(Cυ,χMψ)) of ψ-BVFS and ψ-BVFSG, and bipolar-valued fuzzy cosets (BVF cosets). Further, we explore some algebraic properties of newly defined ψ-BVFSG. In addition, we present some new results of homomorphism and quotient group of ψ-BVFSG. At the end, we provide an application of ψ-BVFS in decision making by using topsis method.

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