Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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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)
  • Received : 2018.09.17
  • Accepted : 2018.10.12
  • Published : 2019.06.25
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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.

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