Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2015.02.18
  • Published : 2015.06.30
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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.

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References

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  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