L-fuzzy roughness of n-ary polygroups |
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| Authors: | Yun Qiang Yin Jian Ming Zhan P. Corsini |
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| Affiliation: | [1]School of Mathematzcs and Information Sciences,East China Institute of Technology, Fuzhou 344000, P. R. China [2]Department of Mathematics, Hubei University for Nationalities, Enshi 445000, P. R. China [3]Department of Biology and Agro-Industrial Economy, Via delle Seienze 208, 33100, Udine, Italy |
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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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| Keywords: | n-Ary polygroups （normal） TL-fuzzy n-ary polygroups θ-lower L-fuzzy rough approxi-mation T-upper L-fuzzy rough approximation （strong） homomorphism |
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