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New types of fuzzy bi-ideals in ordered semigroups

Khan, Asghar and Sarmin, Nor Haniza and Davvaz, Bijan and Muhammad Khan, Faiz (2012) New types of fuzzy bi-ideals in ordered semigroups. Neural Computing And Applications, 21 (SUP. 1). pp. 295-305. ISSN 0941-0643

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Official URL: http://dx.doi.org/10.1007/s00521-012-0843-3

Abstract

In Jun et al. (Bull Malays Math Sci Soc (2) 32(3):391–408, 2009), (α, β)-fuzzy bi-ideals are introduced and some characterizations are given. In this paper, we generalize the concept of (α, β)-fuzzy bi-ideals and define (\in ,\in \vee q_{k})-fuzzy bi-ideals in ordered semigroups, which is a generalization of the concept of an (α, β)-fuzzy bi-ideal in an ordered semigroup. Using this concept, some characterization theorems of regular, left (resp. right) regular and completely regular ordered semigroups are provided. In the last section, we give the concept of upper/lower parts of an (\in ,\in \vee q_{k})-fuzzy bi-ideal and investigate some interesting results of regular and intra-regular ordered semigroups.

Item Type:Article
Uncontrolled Keywords:bi-ideals, fuzzy bi-ideals, coding theory
Subjects:Q Science > QA Mathematics > QA76 Computer software
Divisions:Science
ID Code:47276
Deposited By: Narimah Nawil
Deposited On:22 Jun 2015 05:56
Last Modified:31 Mar 2019 08:37

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