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http://dx.doi.org/10.4134/CKMS.2015.30.3.143

HESITANT FUZZY BI-IDEALS IN SEMIGROUPS  

JUN, YOUNG BAE (Department of Mathematics Education Gyeongsang National University)
LEE, KYOUNG JA (Department of Mathematics Education Hannam University)
SONG, SEOK-ZUN (Department of Mathematics Jeju National University)
Publication Information
Communications of the Korean Mathematical Society / v.30, no.3, 2015 , pp. 143-154 More about this Journal
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 $\mathcal{H}$ on a semigroup S, hesitant fuzzy (generalized) bi-ideals generated by $\mathcal{H}$ are established.
Keywords
hesitant fuzzy semigroup; hesitant fuzzy left (right) ideal; hesitant fuzzy product; (${\varepsilon}$, ${\delta}$)-characteristic hesitant fuzzy set; (${\varepsilon}$, ${\delta}$)-identity hesitant fuzzy set; hesitant fuzzy (generalized) bi-ideal;
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Times Cited By KSCI : 1  (Citation Analysis)
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