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A new generalization of fuzzy BCK/BCI-algebras

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Abstract

In this paper, generalization of the fuzzy BCK/BCI-algebras of type (α, β)* are introduced. Then we state and prove some theorems that determine the relationship between these notions and subalgebras of BCK/BCI-algebras. Characterizations of (α, β)*-fuzzy subalgebras in a BCK/BCI-algebras are given.

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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.

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Authors and Affiliations

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

    A. Borumand Saeid

  2. Department of Information Technology, College of Applied Sciences, Post Box:135, Sohar, 311, Sultanate of Oman

    D. R. Prince Williams

  3. Department of Computer Science, Shahid Bahonar University of Kerman, Kerman, Iran

    M. Kuchaki Rafsanjani

Authors
  1. A. Borumand Saeid
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  2. D. R. Prince Williams
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  3. M. Kuchaki Rafsanjani
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Correspondence to A. Borumand Saeid.

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Saeid, A.B., Williams, D.R.P. & Rafsanjani, M.K. A new generalization of fuzzy BCK/BCI-algebras. Neural Comput & Applic 21, 813–819 (2012). https://doi.org/10.1007/s00521-011-0613-7

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  • DOI: https://doi.org/10.1007/s00521-011-0613-7

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