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On properties of fuzzy left h-ideals in hemirings with t-norms

On properties of fuzzy left h-ideals in hemirings with t-norms,10.1155/IJMMS.2005.3127,International Journal of Mathematics and Mathematical Sciences,

On properties of fuzzy left h-ideals in hemirings with t-norms   (Citations: 7)
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Journal: International Journal of Mathematics and Mathematical Sciences , vol. 2005, no. 19, pp. 3127-3144, 2005
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    • ...The fuzzy algebraic structures play a prominent role in mathematics with wide applications in many other branches such as theoretical physics, computer sciences, control engineering, information sciences, coding theory, topological spaces, logic, set theory, group theory, groupoids, real analysis, measure theory etc (for instance see [4‐6], [8], [11‐14], [16‐21], [24] and [25])...
    • ...Other important results connected with fuzzy h-ideals in hemirings were obtained in [13] and [24]...

    Hossein Hedayati. Generalized Fuzzy k-Ideals of Semirings with Interval-Valued Membershi...

    • ...Following this,J.Zhan [9] introduced the notion of T -fuzzy left h-ideal of hemirings.Then,J.Zhan [10] introduced the notion of fuzzy hyper ideals in hyper near-rings with respect to tnorm.Recently,Y.U Cho et. al[3] introduced the notion of fuzzy subalgebras with respect to t-conorm of BCK-algebras and M.Akram et. al.[2] introduced the notion of sensible fuzzy ideal with respect to t-conorm in BCK-algebras.Using the idea of [2] and [3],In ...
    • ... with respect to tnorm.Recently,Y.U Cho et. al[3] introduced the notion of fuzzy subalgebras with respect to t-conorm of BCK-algebras and M.Akram et. al.[2] introduced the notion of sensible fuzzy ideal with respect to t-conorm in BCK-algebras.Using the idea of [2] and [3],In this paper we introduce the notion of S-fuzzy left h-ideal of hemirings and investigate it is related properties.Also,we review several results described in [9] using ...
    • ...S-fuzzy left h-ideal μ of a hemiring R is a anti fuzzy left hideal of R. Proof: The proof is obtained dually by using the notion of t-conorm S instead of t-norm T in [9]...
    • ...A semiring R is a said to be left h-artinian (see [9]) if it satisfies the descending chain condition on left h-ideals of R...

    D. R Prince Williams. S-Fuzzy Left h-Ideal of Hemirings

    • ...In recent years there has been considerable interest in the connections between semirings(hemirings) and fuzzy sets. The reader is refereed to [7-17]...

    Yun-qiang Yinet al. The Characterization of h -semisimple Hemirings

    • ...Zhan [16] extended the concept of fuzzy left h-ideals of hemirings to fuzzy left h-ideals of hemirings over t-norm and studied many properties...

    Prince Williams. On µ-Euclidean Fuzzy k-ideals of Semirings

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