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New types of fuzzy bi-ideals in ordered semigroups

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 generali...

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Main Authors: Khan, Asghar, Sarmin, Nor Haniza, Davvaz, Bijan, Muhammad Khan, Faiz
Format: Article
Published: Springer-Verlag 2012
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QA76 Computer software
Online Access:http://eprints.utm.my/id/eprint/47276/
http://dx.doi.org/10.1007/s00521-012-0843-3
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spelling my.utm.472762019-03-31T08:37:49Z http://eprints.utm.my/id/eprint/47276/ New types of fuzzy bi-ideals in ordered semigroups Khan, Asghar Sarmin, Nor Haniza Davvaz, Bijan Muhammad Khan, Faiz QA76 Computer software 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. Springer-Verlag 2012 Article PeerReviewed 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 http://dx.doi.org/10.1007/s00521-012-0843-3 DOI:10.1007/s00521-012-0843-3
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA76 Computer software
spellingShingle QA76 Computer software
Khan, Asghar
Sarmin, Nor Haniza
Davvaz, Bijan
Muhammad Khan, Faiz
New types of fuzzy bi-ideals in ordered semigroups
description 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.
format Article
author Khan, Asghar
Sarmin, Nor Haniza
Davvaz, Bijan
Muhammad Khan, Faiz
author_facet Khan, Asghar
Sarmin, Nor Haniza
Davvaz, Bijan
Muhammad Khan, Faiz
author_sort Khan, Asghar
title New types of fuzzy bi-ideals in ordered semigroups
title_short New types of fuzzy bi-ideals in ordered semigroups
title_full New types of fuzzy bi-ideals in ordered semigroups
title_fullStr New types of fuzzy bi-ideals in ordered semigroups
title_full_unstemmed New types of fuzzy bi-ideals in ordered semigroups
title_sort new types of fuzzy bi-ideals in ordered semigroups
publisher Springer-Verlag
publishDate 2012
url http://eprints.utm.my/id/eprint/47276/
http://dx.doi.org/10.1007/s00521-012-0843-3
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score 13.244368

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