Fuzzy Information and Engineering (Jun 2015)

Regularity of Po-Γ-semigroups in Terms of Fuzzy Subsemigroups and Fuzzy Bi-ideals

  • Pavel Pal,
  • Samit Kumar Majumder,
  • Bijan Davvaz,
  • Sujit Kumar Sardar

DOI
https://doi.org/10.1016/j.fiae.2015.05.003
Journal volume & issue
Vol. 7, no. 2
pp. 165 – 182

Abstract

Read online

In this paper, the notions of fuzzy subsemigroups and fuzzy bi-ideals of a po-Γ-semigroup are introduced with some of their important properties investigated. We obtain some characterizations of regular, intra-regular po-Γ-semigroups in terms of fuzzy bi-ideals. We also give a pointwise characterization of fuzzy regular subsemigroups in a po-Γ-semigroup.

Keywords