Title of article :
Fuzzifying Bi-Ideals of Semigroups and Implication Operators
Author/Authors :
Hedayati, H. babol noshirvani university of technology - Faculty of Basic Science - Department of Mathematics, بابل, ايران , Jafari, Z. babol noshirvani university of technology - Faculty of Basic Science - Department of Mathematics, بابل, ايران
Abstract :
In this paper the notion of (α, β)−fuzzy bi-ideal of a semigroup is introduced and related properties are investigated. Also, the definition of implication operator in the Lukasiewicz system of continuous-valued logic for fuzzy bi-ideals is considered. In particular, the relationship between fuzzy biideals with thresholds and implication-based fuzzy bi-ideals is analyzed.
Keywords :
(α, β) , fuzzy bi , ideal , fuzzifying bi , ideal , implication , based fuzzy bi , ideal
Journal title :
Selcuk Journal of Applied Mathematics
Journal title :
Selcuk Journal of Applied Mathematics
