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Fuzzy n-fold ideals in BCH-algebras

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Abstract

In this paper, we introduce the notion of fuzzy n-folds (P, implicative and fantastic) ideals in BCH-algebras which is a natural generalization of notion of n-folds (P, implicative and fantastic) ideals in BCH-algebras and we stated and proved some theorems which determines the relationship between these notions. Finally we give some computational Algorithms for these notions.

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Acknowledgments

The authors would like to express their thanks to the Editor-in-Chief Prof. John MacIntyre and referees for their comments and suggestions which improved the paper. The first author has been supported in part by “Fuzzy Sets and its Application Center of Excellence, Shahid Bahonar University of Kerman, Iran”.

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Authors and Affiliations

  1. Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran

    Arsham Borumand Saeid

  2. Department of Mathematics, Islamic Azad University Zarindasht Branch, Shiraz, Iran

    A. Namdar

  3. Department of Computer Engineering, Islamic Azad University Kerman Branch, Kerman, Iran

    M. Kuchaki Rafsanjani

Authors
  1. Arsham Borumand Saeid
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  2. A. Namdar
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  3. M. Kuchaki Rafsanjani
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Corresponding author

Correspondence to Arsham Borumand Saeid.

Appendix: Algorithms

Appendix: Algorithms

In the following, we construct some Algorithms 1, 2, 3, and 4 for studying finite BCH-algebras and fuzzy n-fold (P, implicative and fantastic) ideals in finite BCH-algebras.

Algorithm 1 Algorithm for finite BCH-algebras
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Algorithm 2 Algorithm for fuzzy n-fold P-ideals in finite BCH-algebras
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Algorithm 3 Algorithm for fuzzy n-fold implicative ideals in finite BCH-algebras
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Algorithm 4 Algorithm for fuzzy n-fold fantastic ideals in finite BCH-algebras
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Borumand Saeid, A., Namdar, A. & Rafsanjani, M.K. Fuzzy n-fold ideals in BCH-algebras. Neural Comput & Applic 19, 775–783 (2010). https://doi.org/10.1007/s00521-009-0336-1

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  • DOI: https://doi.org/10.1007/s00521-009-0336-1

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