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Generalized fuzzy interior ideals of semigroups

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Abstract

The concept of \((\overline{\in},\overline{\in} \vee \overline{q})\)-fuzzy interior ideals of semigroups is introduced and some related properties are investigated. In particular, we describe the relationships among ordinary fuzzy interior ideals, (∈, ∈ ∨ q)-fuzzy interior ideals and \((\overline{\in},\overline{\in} \vee \overline{q})\)-fuzzy interior ideals of semigroups. Finally, we give some characterization of [F] t by means of (∈, ∈ ∨ q)-fuzzy interior ideals.

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Acknowledgments

Authors would like to express their sincere thanks to the referees for their valuable comments and suggestions which help a lot for improving the presentation of this paper. This work was supported by a grant of the National Natural Science Foundation of China (60875034); a grant of the Natural Science Foundation of Education Committee of Hubei Province, China (D20092901; Q20092907; D20082903; B200529001) and also the support of the Natural Science Foundation of Hubei Province, China (2008CDB341).

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Authors and Affiliations

  1. Department of Mathematics, Hubei Institute for Nationalities, 445000, Enshi, Hubei Province, People’s Republic of China

    Jianming Zhan

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

    Young Bae Jun

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  1. Jianming Zhan
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  2. Young Bae Jun
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Correspondence to Jianming Zhan.

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Zhan, J., Jun, Y.B. Generalized fuzzy interior ideals of semigroups. Neural Comput & Applic 19, 515–519 (2010). https://doi.org/10.1007/s00521-009-0302-y

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