IJPAM: Volume 92, No. 3 (2014)
Department of Mathematics
Faculty of Engineering
Rajamangala University of Technology Isan
Khon Kaen Campus, THAILAND
Abstract. In this paper we shows that in ordered groupoids the -fuzzy right (resp. -fuzzy left) ideals are -fuzzy quasi-ideals, in ordered semigroups the -fuzzy quasi-ideals are -fuzzy bi-ideals, and in regular ordered semigroups the -fuzzy quasi-ideals and the -fuzzy bi-ideals coincide and show that if is an ordered semigroup, then a -fuzzy subset is a -fuzzy quasi-ideal of if and only if there exist a -fuzzy right ideal and a -fuzzy left ideal of such that .
Received: October 19, 2013
AMS Subject Classification: 06F05
Key Words and Phrases: ordered semigroup, regular ordered semigroup, -fuzzy left (right) ideal, -fuzzy quasi-ideal, -fuzzy bi-ideals
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DOI: 10.12732/ijpam.v92i3.5 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 369 - 379
This work is licensed under the Creative Commons Attribution International License (CC BY).