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:10.1016/j.fiae.2015.05.003

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

Affiliations

Pavel Pal: Department of Mathematics, Jadavpur University, Kolkata-700032, India
Samit Kumar Majumder: Tarangapur N.K High School, Tarangapur, Uttar Dinajpur, West Bengal-733129, India
Bijan Davvaz: Department of Mathematics, Yazd University, Yazd, Iran
Sujit Kumar Sardar: Department of Mathematics, Jadavpur University, Kolkata-700032, India

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

Abstract

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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.

Published in Fuzzy Information and Engineering

ISSN: 1616-8658 (Print); 1616-8666 (Online)
Publisher: Tsinghua University Press
Country of publisher: China
LCC subjects: Technology: Engineering (General). Civil engineering (General); Science: Mathematics
Website: https://www.sciopen.com/journal/1616-8658

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