Characterizations of semigroups by their linear Diophantine anti-fuzzy bi-ideals

Authors

https://doi.org/10.15330/cmp.16.1.103-113

Keywords:

group, semigroup, linear Diophantine fuzzy set, LDAF-subgroup, LDAF-subsemigroup, LDAF-ideal, LDAF-bi-ideal, LDAF-simple
Published online: 2024-05-24

Abstract

The purpose of this paper is to introduce linear Diophantine anti-fuzzification of algebraic structures. In this regard, we define linear Diophantine anti-fuzzy (LDAF) substructures of a semigroup and discuss some of its properties. Moreover, we characterize semigroups in terms of LDAF-ideals and LDAF-bi-ideals. Finally, we apply the linear Diophantine anti-fuzzification to groups and find a relationship between LDAF-subgroups of a group and its LDF-subgroups.

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How to Cite
(1)
Al-Kaseasbeh, S.; Al Tahan, M. Characterizations of Semigroups by Their Linear Diophantine Anti-Fuzzy Bi-Ideals. Carpathian Math. Publ. 2024, 16, 103-113.

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