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A new view of fuzzy ideals in \(\Upgamma\)-rings

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Abstract

By means of a kind of new idea, we redefine fuzzy ideals and fuzzy interior ideals in a \(\Upgamma\)-ring and investigate some of their related properties. In particular, we show that the regular and semisimple \(\Upgamma\)-rings can be described by using these kinds of generalized fuzzy ideals.

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Acknowledgments

This research is partially supported by a grant of National Natural Science Foundation of China # 60875034; a grant of the Natural Science Foundation of Education Committee of Hubei Province, China, # D20092901; # Q20092907 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

    Xueling Ma & Jianming Zhan

  2. Department of Mathematics Education, Gyeongsang National University, Chinju, 660-701, Korea

    Young Bae Jun

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  1. Xueling Ma
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  2. Jianming Zhan
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  3. Young Bae Jun
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Correspondence to Xueling Ma.

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Ma, X., Zhan, J. & Jun, Y.B. A new view of fuzzy ideals in \(\Upgamma\)-rings. Neural Comput & Applic 21, 921–927 (2012). https://doi.org/10.1007/s00521-010-0502-5

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  • DOI: https://doi.org/10.1007/s00521-010-0502-5

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