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Soft set theory applied to p-ideals of BCI-algebras related to fuzzy points

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Abstract

The notions of \((\overline{\in}, \overline{\in} \vee \overline{\hbox{q}})\)-fuzzy p-ideals and fuzzy p-ideals with thresholds related to soft set theory are discussed. Relations between \((\overline{\in}, \overline{\in} \vee \overline{\hbox{q}})\)-fuzzy ideals and \((\overline{\in}, \overline{\in} \vee \overline{\hbox{q}})\)-fuzzy p-ideals are investigated. Characterizations of an \((\overline{\in}, \overline{\in} \vee \overline{\hbox{q}})\)-fuzzy p-ideal and a fuzzy p-ideal with thresholds are displayed. Implication-based fuzzy p-ideals are discussed.

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Acknowledgments

The authors wish to thank the anonymous reviewers for their valuable suggestions.

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Authors and Affiliations

  1. Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju, 660-701, Korea

    Young Bae Jun

  2. Department of Mathematics (and RIBS), Jeju National University, Jeju, 690-756, Korea

    Seok Zun Song

  3. Department of Mathematics, Hallym University, Chuncheon, 200-702, Korea

    Keum Sook So

Authors
  1. Young Bae Jun
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  2. Seok Zun Song
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  3. Keum Sook So
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Correspondence to Seok Zun Song.

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Jun, Y.B., Song, S.Z. & So, K.S. Soft set theory applied to p-ideals of BCI-algebras related to fuzzy points. Neural Comput & Applic 20, 1313–1320 (2011). https://doi.org/10.1007/s00521-010-0460-y

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