# HESITANT FUZZY BI-IDEALS IN SEMIGROUPS

JUN, YOUNG BAE;LEE, KYOUNG JA;SONG, SEOK-ZUN

• Published : 2015.06.30
• 18 4

#### 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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#### Cited by

1. IDEAL THEORY IN ORDERED SEMIGROUPS BASED ON HESITANT FUZZY SETS vol.38, pp.4, 2016, https://doi.org/10.5831/HMJ.2016.38.4.783
2. -Semigroups vol.2018, pp.1687-711X, 2018, https://doi.org/10.1155/2018/5738024