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Some study of (α,β)-fuzzy ideals in ordered semigroups

Khan, Faiz Muhammad and Sarmin, Nor Haniza and Khan, Asghar (2012) Some study of (α,β)-fuzzy ideals in ordered semigroups. Annals of Fuzzy Mathematics and Informatics, 3 (2). pp. 213-227. ISSN 2093–9310

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Abstract

Algebraic structures especially an ordered semigroups play a prominent role in mathematics with wide ranging applications in many disciplines such as control engineering, computer arithmetics, coding theory, sequential machines and formal languages. A theory of fuzzy sets in terms of fuzzy points on ordered semigroups can be developed. In this paper, we generalize the concept of (α,β)-fuzzy left (right) ideal of an ordered semigroup S and introduce a new sort of fuzzy left (right) ideals called (є,є Vqk)-fuzzy left (right) ideals, where k є [0, 1). In particular, we describe the relationships among ordinary fuzzy ideals and (є,є Vqk)- fuzzy ideals of an ordered semigroup S. Finally, we characterize regular ordered semigroups in terms of (є,є Vqk)-fuzzy left (resp. right) ideals

Item Type:Article
Uncontrolled Keywords:regular ordered semigroups, fuzzy subsets, fuzzy ideals, (є,є Vqk)- fuzzy left (right) ideals
Subjects:Q Science > Q Science (General)
Divisions:Science
ID Code:39785
Deposited By: Fazli Masari
Deposited On:04 Aug 2014 04:05
Last Modified:15 Feb 2017 02:01

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