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L-fuzzy roughness of n-ary polygroups

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Abstract

In this paper, we consider the relations among L-fuzzy sets, rough sets and n-ary polygroup theory. Some properties of (normal) TL-fuzzy n-ary subpolygroups of an n-ary polygroup are first obtained. Using the concept of L-fuzzy sets, the notion of ϑ-lower and T-upper L-fuzzy rough approximation operators with respect to an L-fuzzy set is introduced and some related properties are presented. Then a new algebraic structure called (normal) TL-fuzzy rough n-ary polygroup is defined and investigated. Also, the (strong) homomorphism of ϑ-lower and T-upper L-fuzzy rough approximation operators is studied.

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Authors and Affiliations

  1. School of Mathematics and Information Sciences, East China Institute of Technology, Fuzhou, 344000, P. R. China

    Yun Qiang Yin

  2. Department of Mathematics, Hubei University for Nationalities, Enshi, 445000, P. R. China

    Jian Ming Zhan

  3. Department of Biology and Agro-Industrial Economy, Via delle Scienze 208, 33100, Udine, Italy

    P. Corsini

Authors
  1. Yun Qiang Yin
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  2. Jian Ming Zhan
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  3. P. Corsini
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Correspondence to Yun Qiang Yin.

Additional information

The second author is supported by National Natural Science Foundation of China (Grant Nos. 60774049, 60875034), Natural Science Foundation of Education Committee of Hubei Province, China (Grant Nos. D20092901, Q20092907, D20082903, B200529001) and Natural Science Foundation of Hubei Province, China (Grant No. 2008CDB341)

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Yin, Y.Q., Zhan, J.M. & Corsini, P. L-fuzzy roughness of n-ary polygroups. Acta. Math. Sin.-English Ser. 27, 97–118 (2011). https://doi.org/10.1007/s10114-011-9465-4

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  • DOI: https://doi.org/10.1007/s10114-011-9465-4

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