Generalized Fuzzy Rough Approximations on Hypergroups-Reference-Cited by-同舟云学术

Generalized Fuzzy Rough Approximations on Hypergroups

Published:2024-08-06 Issue:16 Volume:12 Page:2445
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Akın Canan¹,Delice Dilek Bayrak²^ORCID,Yamak Sultan³

Affiliation:

1. Department of Mathematics, Faculty of Arts and Sciences, Giresun University, Giresun 28100, Türkiye

2. Department of Mathematics, Faculty of Arts and Sciences, Tekirdağ Namık Kemal University, Tekirdağ 59030, Türkiye

3. Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, Trabzon 61080, Türkiye

Abstract

In this paper, we define the fuzzy set-valued homomorphisms of the canonical hypergroups as a generalization of fuzzy congruences and investigate some of their features. This structure is an extension of the definition of set-valued homomorphism defined for groups to hypergroups. With this extension, it has become possible to study generalized fuzzy rough approximations in hyperalgebraic structures such as semihypergroups, polygroups, hyperrings, hypermodules, etc. This paper presents the generalized fuzzy rough approximations based on two-universe (I,T)-fuzzy model on canonical hypergroups.

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/16/2445/pdf

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