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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Hindawi Publishing Corporation
2014
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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. |
format | Online Article Text |
id | pubmed-4030498 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2014 |
publisher | Hindawi Publishing Corporation |
record_format | MEDLINE/PubMed |
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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