(Alpha, Beta)-Fuzzy Subsemigroup and (Alpha, Beta)-Fuzzy Bi-ideal in Gamma- Semigroups
Sujit Kumar Sardar, Bijan Davvaz, Samit Kumar Majumder, Soumitra Kayal
TL;DR
This paper introduces new fuzzy subsemigroup and bi-ideal concepts in gamma-semigroups using quasi-coincidence, exploring their properties and extending fuzzy algebraic structures.
Contribution
It proposes novel (epsilon, epsilon join q)- fuzzy subsemigroup and bi-ideal definitions in gamma-semigroups, expanding fuzzy algebra theory.
Findings
Defined (epsilon, epsilon join q)- fuzzy subsemigroup and bi-ideal
Investigated properties of these fuzzy structures
Extended fuzzy algebraic concepts in gamma-semigroups
Abstract
In this paper, using the idea of quasi-coincidence of a fuzzy point with a fuzzy set, the concepts of (epsilon, epsilon join q)- fuzzy subsemigroup and (epsilon, epsilon join q)- fuzzy bi-ideal in a gamma-semigroup have been introduced and some related properties have been investigated.
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Taxonomy
TopicsFuzzy and Soft Set Theory