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Ordered semigroups characterized by (ϵ ϵ vqk)-fuzzy generalized bi-ideals

Khan, Asghar and Young, Bae Jun and Sarmin, Nor Haniza and Khan, Faiz Muhammad (2012) Ordered semigroups characterized by (ϵ ϵ vqk)-fuzzy generalized bi-ideals. Neural Computing & Applications, 21 (Issue). pp. 121-132. ISSN 0941-0643

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Official URL: http://dx.doi.org/10.1007/s00521-011-0731-2

Abstract

In this paper, we introduce a considerable machinery that permits us to characterize a number of special (fuzzy) subsets in ordered semigroups. In this regard, we generalize (Davvaz and Khan in Inform Sci 181:1759-1770 2011) and define (is an element of, is an element of boolean (ϵ ϵ vqk)-fuzzy generalized bi-ideals in ordered semigroups, which is a generalization of the concept of an (alpha, beta)-fuzzy generalized bi-ideal in an ordered semi-group. We also define (is an element of, is an element of boolean (ϵ ϵ vqk)-fuzzy left (resp. right)ideals. Using these concept, some characterization theorems of regular, left (resp. right) regular, completely regular and weakly regular ordered semigroups are provided. The upper/lower parts of an (is an element of, is an element of boolean (ϵ ϵ vqk)-fuzzy generalized bi-ideal and (is an element of, is an element of boolean (ϵ ϵ vqk)-fuzzy left (resp. right)-ideal are given, and some characterizations are provided.

Item Type:Article
Uncontrolled Keywords:Ordered semigroups, Regular, left (resp. right) regular, completely regular and weakly regular ordered semigroups
Subjects:Q Science > Q Science (General)
Divisions:Science
ID Code:32987
Deposited By: Fazli Masari
Deposited On:31 Jul 2013 05:38
Last Modified:30 Nov 2018 06:33

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