Solutions of matrix equations with weak fuzzy equivalence relations

dc.creator	Medina, Jesús
dc.creator	Stepanović, Vanja
dc.creator	Tepavčević, Andreja
dc.date.accessioned	2023-02-24T09:08:56Z
dc.date.available	2023-02-24T09:08:56Z
dc.date.issued	2023
dc.identifier.issn	0020-0255
dc.identifier.uri	http://aspace.agrif.bg.ac.rs/handle/123456789/6299
dc.description.abstract	In this paper, we are solving matrix equations where the operation on matrices might not be a standard composition, but it can be any convenient binary operation. We use fuzzy (lattice valued) techniques in which a particular fuzzy weak equivalence relation and its compatibility with the matrix operation plays the central role. This fuzzy weak equivalence relation is weakly reflexive, symmetric, transitive, and compatible with the matrix operation. We obtain approximate solutions of two main types of matrix equations. We also tackle the question of the uniqueness of solutions (which are unique up to the fuzzy weak equivalence relation). © 2023 Elsevier Inc.
dc.language	English
dc.rights	restrictedAccess
dc.source	Information Sciences
dc.source	Information Sciences
dc.subject	Lattice valued
dc.subject	Linear equation
dc.subject	Matrix equations
dc.subject	Weak fuzzy equivalence relation
dc.title	Solutions of matrix equations with weak fuzzy equivalence relations
dc.type	article	en
dc.rights.license	ARR
dc.citation.epage	645
dc.citation.rank	M23
dc.citation.spage	634
dc.citation.volume	629
dc.identifier.doi	10.1016/j.ins.2023.01.145
dc.type.version	publishedVersion