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Multi-fuzzy soft groups

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Abstract

The purpose of this study is to extend the multi-fuzzy soft sets to the theory of groups. The concept of multi-fuzzy soft sets is examined and some new definitions are introduced such as restricted and extended intersection, restricted and extended union, \(\wedge \)-intersection and \(\vee \)-union of the family multi-fuzzy soft sets and also a definition of a multi-fuzzy soft function is given. In this paper, the concept of multi-fuzzy soft sets is applied to the theory of groups and a notion which is called a multi-fuzzy soft group is proposed. A definition of homomorphism of multi-fuzzy soft groups is presented. We obtain that the image (or pre-image) of a multi-fuzzy soft group is a multi-fuzzy soft group.

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Authors and Affiliations

  1. Department of Mathematics, Giresun University, 28100, Giresun, Turkey

    Canan Akin

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  1. Canan Akin
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Correspondence to Canan Akin.

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Communicated by A. Di Nola.

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Akin, C. Multi-fuzzy soft groups. Soft Comput 25, 137–145 (2021). https://doi.org/10.1007/s00500-020-05471-w

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