HESITANT FUZZY BI-IDEALS IN SEMIGROUPS

Title & Authors
HESITANT FUZZY BI-IDEALS IN SEMIGROUPS
JUN, YOUNG BAE; LEE, KYOUNG JA; SONG, SEOK-ZUN;

Abstract
Characterizations of hesitant fuzzy left (right) ideals are considered. The notion of hesitant fuzzy (generalized) bi-ideals is introduced, and related properties are investigated. Relations between hesitant fuzzy generalized bi-ideals and hesitant fuzzy semigroups are discussed, and characterizations of (hesitant fuzzy) generalized bi-ideals and hesitant fuzzy bi-ideals are considered. Given a hesitant fuzzy set $\small{\mathcal{H}}$ on a semigroup S, hesitant fuzzy (generalized) bi-ideals generated by $\small{\mathcal{H}}$ are established.
Keywords
hesitant fuzzy semigroup;hesitant fuzzy left (right) ideal;hesitant fuzzy product;($\small{{\varepsilon}}$, $\small{{\delta}}$)-characteristic hesitant fuzzy set;($\small{{\varepsilon}}$, $\small{{\delta}}$)-identity hesitant fuzzy set;hesitant fuzzy (generalized) bi-ideal;
Language
English
Cited by
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