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http://dx.doi.org/10.5831/HMJ.2019.41.2.285

GENERALIZED BIPOLAR FUZZY INTERIOR IDEALS IN ORDERED SEMIGROUPS  

Ibrar, Muhammad (Department of Mathematics, Abdul Wali Khan University)
Khan, Asghar (Department of Mathematics, Abdul Wali Khan University)
Abbas, Fatima (Department of Mathematics, Gomal University)
Publication Information
Honam Mathematical Journal / v.41, no.2, 2019 , pp. 285-300 More about this Journal
Abstract
This research focuses on the characterization of an ordered semigroups (OS) in the frame work of generalized bipolar fuzzy interior ideals (BFII). Different classes namely regular, intra-regular, simple and semi-simple ordered semigroups were characterized in term of $({\alpha},{\beta})$-BFII (resp $({\alpha},{\beta})$-bipolar fuzzy ideals (BFI)). It has been proved that the notion of $({\in},{\in}{\gamma}q)$-BFII and $({\in},{\in}{\gamma}q)$-BFI overlap in semi-simple, regular and intra-regular ordered semigroups. The upper and lower part of $({\in},{\in}{\gamma}q)$-BFII are discussed.
Keywords
$q^{\delta}_k$-quasi-coincident; $({\in},{\in}{\vee}q^{\delta}_k)$-fuzzy subsemigroup; $({\in},{\in}{\vee}q^{\delta}_k)$-fuzzy left ideal; $({\in},{\in}{\vee}q^{\delta}_k)$-fuzzy right ideal;
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Times Cited By KSCI : 4  (Citation Analysis)
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