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 |
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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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