FUZZY IDEALS IN (n + k, n)-SEMIGROUPS
Journal
Matematichki Bilten
Date Issued
2022
Author(s)
Valentina Miovska, Delcho Leshkovski, Vesna Celakoska-Jordanova
DOI
10.37560/matbil22461051m
Abstract
In this paper we introduce the concepts of fuzzy subset of vector
valued groupoid (semigroup), as well as fuzzy subgroupoid, fuzzy subsemigroup, fuzzy i-ideal (ideal) and bi-ideal of vector valued groupoid (semigroup), investigate their properties and present suitable examples. Prime and fuzzy prime, semiprime and fuzzy semiprime subsets of vector valued groupoids are defined and their properties are investigated. We characterize the Green's relations J_{i} on a vector valued semigroup S in terms of fuzzy subsets. Green's relations J_{i}^{F} on S are suitably defined and it is shown that they coincide with the relation J_{i} on S.
valued groupoid (semigroup), as well as fuzzy subgroupoid, fuzzy subsemigroup, fuzzy i-ideal (ideal) and bi-ideal of vector valued groupoid (semigroup), investigate their properties and present suitable examples. Prime and fuzzy prime, semiprime and fuzzy semiprime subsets of vector valued groupoids are defined and their properties are investigated. We characterize the Green's relations J_{i} on a vector valued semigroup S in terms of fuzzy subsets. Green's relations J_{i}^{F} on S are suitably defined and it is shown that they coincide with the relation J_{i} on S.
Subjects
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