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On fuzzy h-ideals in \(\Upgamma\)-hemirings

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Abstract

By means of a kind of new idea, we introduce the concepts of some kinds of fuzzy h-ideals in \(\Upgamma\)-hemirings. Some new characterization theorems of these kinds of fuzzy h-ideals of a \(\Upgamma\)-hemiring are also given. In particular, we show that the h-hemiregular \(\Upgamma\)-hemirings can be described by using these kinds of fuzzy h-ideals.

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Acknowledgments

This research of the first author is partially supported by a grant of National Natural Science Foundation of China # 60875034; a grant of the Innovation Term of Education Committee of Hubei Province of China # T201103 and also a grant of the Natural Science Foundation of Hubei Province, China # 2009CDB340.

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Authors and Affiliations

  1. Department of Mathematics, Hubei University for Nationalities, 445000, Enshi, Hubei Province, China

    Jianming Zhan

  2. Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong, China (SAR)

    K. P. Shum

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  1. Jianming Zhan
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  2. K. P. Shum
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Correspondence to Jianming Zhan.

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Zhan, J., Shum, K.P. On fuzzy h-ideals in \(\Upgamma\)-hemirings. Neural Comput & Applic 20, 495–505 (2011). https://doi.org/10.1007/s00521-011-0556-z

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