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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Bibliographic Details
Published in:TheScientificWorld 2014-01, Vol.2014 (2014), p.1-9
Main Authors: Khan, Faiz Muhammad, Khan, Hidayat Ullah, Sarmin, N. H.
Format: Article
Language:English
Subjects:
Algebra
Fuzzy algorithms
Fuzzy Logic
Fuzzy sets
Fuzzy systems
Group theory
Investigations
Mathematical research
Mathematics - methods
Models, Theoretical
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Summary: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.
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2014/275947