Bipolar Complex Fuzzy Subgroups

Xiaopeng Yang (), Tahir Mahmood and Ubaid ur Rehman
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Xiaopeng Yang: School of Mathematics and Statistics, Hanshan Normal University, Chaozhou 521041, China
Tahir Mahmood: Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
Ubaid ur Rehman: Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan

Mathematics, 2022, vol. 10, issue 16, 1-17

Abstract: In this study, firstly, we interpret the level set, support, kernel for bipolar complex fuzzy (BCF) set, bipolar complex characteristic function, and BCF point. Then, we interpret the BCF subgroup, BCF normal subgroup, BCF conjugate, normalizer for BCF subgroup, cosets, BCF abelian subgroup, and BCF factor group. Furthermore, we present the associated examples and theorems, and prove these associated theorems. After that, we interpret the image and pre-image of BCF subgroups under homomorphism and prove the related theorems.

Keywords: bipolar complex fuzzy set; bipolar complex fuzzy subgroups; bipolar complex fuzzy normal subgroups (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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