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A Novel Approach toward Fuzzy Generalized Bi-Ideals in Ordered Semigroups

In several advanced fields like control engineering, computer science, fuzzy automata, finite state machine, and error correcting codes, the use of fuzzified algebraic structures especially ordered semigroups plays a central role. In this paper, we introduced a new and advanced generalization of fuz...

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Detalles Bibliográficos
Autores principales: Khan, Faiz Muhammad, Sarmin, Nor Haniza, Khan, Hidayat Ullah
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4030498/
https://www.ncbi.nlm.nih.gov/pubmed/24883375
http://dx.doi.org/10.1155/2014/275947
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author Khan, Faiz Muhammad
Sarmin, Nor Haniza
Khan, Hidayat Ullah
author_facet Khan, Faiz Muhammad
Sarmin, Nor Haniza
Khan, Hidayat Ullah
author_sort Khan, Faiz Muhammad
collection PubMed
description In several advanced fields like control engineering, computer science, fuzzy automata, finite state machine, and error correcting codes, the use of fuzzified algebraic structures especially ordered semigroups plays a central role. In this paper, we introduced a new and advanced generalization of fuzzy generalized bi-ideals of ordered semigroups. These new concepts are supported by suitable examples. These new notions are the generalizations of ordinary fuzzy generalized bi-ideals of ordered semigroups. Several fundamental theorems of ordered semigroups are investigated by the properties of these newly defined fuzzy generalized bi-ideals. Further, using level sets, ordinary fuzzy generalized bi-ideals are linked with these newly defined ideals which is the most significant part of this paper.
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spelling pubmed-40304982014-06-01 A Novel Approach toward Fuzzy Generalized Bi-Ideals in Ordered Semigroups Khan, Faiz Muhammad Sarmin, Nor Haniza Khan, Hidayat Ullah ScientificWorldJournal Research Article In several advanced fields like control engineering, computer science, fuzzy automata, finite state machine, and error correcting codes, the use of fuzzified algebraic structures especially ordered semigroups plays a central role. In this paper, we introduced a new and advanced generalization of fuzzy generalized bi-ideals of ordered semigroups. These new concepts are supported by suitable examples. These new notions are the generalizations of ordinary fuzzy generalized bi-ideals of ordered semigroups. Several fundamental theorems of ordered semigroups are investigated by the properties of these newly defined fuzzy generalized bi-ideals. Further, using level sets, ordinary fuzzy generalized bi-ideals are linked with these newly defined ideals which is the most significant part of this paper. Hindawi Publishing Corporation 2014 2014-04-27 /pmc/articles/PMC4030498/ /pubmed/24883375 http://dx.doi.org/10.1155/2014/275947 Text en Copyright © 2014 Faiz Muhammad Khan et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Khan, Faiz Muhammad
Sarmin, Nor Haniza
Khan, Hidayat Ullah
A Novel Approach toward Fuzzy Generalized Bi-Ideals in Ordered Semigroups
title A Novel Approach toward Fuzzy Generalized Bi-Ideals in Ordered Semigroups
title_full A Novel Approach toward Fuzzy Generalized Bi-Ideals in Ordered Semigroups
title_fullStr A Novel Approach toward Fuzzy Generalized Bi-Ideals in Ordered Semigroups
title_full_unstemmed A Novel Approach toward Fuzzy Generalized Bi-Ideals in Ordered Semigroups
title_short A Novel Approach toward Fuzzy Generalized Bi-Ideals in Ordered Semigroups
title_sort novel approach toward fuzzy generalized bi-ideals in ordered semigroups
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4030498/
https://www.ncbi.nlm.nih.gov/pubmed/24883375
http://dx.doi.org/10.1155/2014/275947
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