Khan, Asghar and Young, Bae Jun and Sarmin, Nor Haniza and Khan, Faiz Muhammad (2012) Ordered semigroups characterized by (∈, ∈ ∨q k)-fuzzy generalized bi-ideals. Neural Computing and Applications, 21 (SUP. 1). pp. 121-132. ISSN 0941-0643
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Official URL: http://dx.doi.org/10.1007%2Fs00521-011-0731-2
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 (∈,∈∨qk)-fuzzy generalized bi-ideals in ordered semigroups, which is a generalization of the concept of an (α, β)-fuzzy generalized bi-ideal in an ordered semigroup. We also define (∈,∈∨qk)-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 (∈,∈∨qk)-fuzzy generalized bi-ideal and (∈,∈∨qk)-fuzzy left (resp. right)-ideal are given, and some characterizations are provided.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ordered semigroups, regular, fuzzy generalized bi-ideals |
| Subjects: | Q Science > QA Mathematics > QA76 Computer software |
| Divisions: | Science |
| ID Code: | 47337 |
| Deposited By: | Narimah Nawil |
| Deposited On: | 22 Jun 2015 05:56 |
| Last Modified: | 25 Apr 2019 01:18 |
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