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Soft Computing
Published in: Soft Computing 1/2021

03-01-2021 | Foundations

Multi-fuzzy soft groups

Author: Canan Akin

Published in: Soft Computing | Issue 1/2021

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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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Metadata
Title
Multi-fuzzy soft groups
Author
Canan Akin
Publication date
03-01-2021
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 1/2021
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-020-05471-w

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