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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/275947 |
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| _version_ | 1849306979748544512 |
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| author | Faiz Muhammad Khan Nor Haniza Sarmin Hidayat Ullah Khan |
| author_facet | Faiz Muhammad Khan Nor Haniza Sarmin Hidayat Ullah Khan |
| author_sort | Faiz Muhammad Khan |
| collection | DOAJ |
| 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 | Article |
| id | doaj-art-248af19a14014a1399dbe2e8f25320b3 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-248af19a14014a1399dbe2e8f25320b32025-08-20T03:54:53ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/275947275947A Novel Approach toward Fuzzy Generalized Bi-Ideals in Ordered SemigroupsFaiz Muhammad Khan0Nor Haniza Sarmin1Hidayat Ullah Khan2Department of Mathematics and Statistics, University of Swat, Swat, Khyber Pakhtunkhwa 19130, PakistanDepartment of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, UTM, 81310 Johor Bahru, Johor, MalaysiaDepartment of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, UTM, 81310 Johor Bahru, Johor, MalaysiaIn 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.http://dx.doi.org/10.1155/2014/275947 |
| spellingShingle | Faiz Muhammad Khan Nor Haniza Sarmin Hidayat Ullah Khan A Novel Approach toward Fuzzy Generalized Bi-Ideals in Ordered Semigroups The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2014/275947 |
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