Generalized Fuzzy Rough Approximations on Hypergroups
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Date
2024
Journal Title
Journal ISSN
Volume Title
Publisher
Mdpi
Access Rights
info:eu-repo/semantics/openAccess
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.
Description
Keywords
canonical hypergroup, fuzzy set-valued homomorphism, fuzzy rough approximation
Journal or Series
Mathematics
WoS Q Value
Scopus Q Value
Volume
12
Issue
16
