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Fuzzy congruence relations in CI-algebras

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Abstract

In this paper, we introduce the notion of fuzzy filters(ideals) in CI-algebras. We study fuzzy congruence relation in detail and construct quotient of \((X/\bar{\theta}; {\circ}, 1/\bar{\theta})\) via a fuzzy congruence relation on CI-algebra X.

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Acknowledgments

The authors would like to express their thanks to the Editor in Chief Prof. John MacIntyre and anonymous referees for their comments and suggestions that improved the paper.

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Authors and Affiliations

  1. Department of Mathematics, Payam Noor University, Tehran, Iran

    Akbar Rezaei

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

    Arsham Borumand Saeid

Authors
  1. Akbar Rezaei
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  2. Arsham Borumand Saeid
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Correspondence to Arsham Borumand Saeid.

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Rezaei, A., Borumand Saeid, A. Fuzzy congruence relations in CI-algebras. Neural Comput & Applic 21 (Suppl 1), 319–328 (2012). https://doi.org/10.1007/s00521-012-0908-3

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  • DOI: https://doi.org/10.1007/s00521-012-0908-3

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