Product structure of the fuzzy n-ary factor polygroup

  • Authors:

  • Minghao Yin;Tingting Zou;Wenxiang Gu;Jianan Wang

  • Affiliations:

  • College of Computer Science, Northeast Normal University, ChangChun, 130024, China and Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, ...;College of Computer Science, Northeast Normal University, ChangChun, 130024, China and Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, ...;College of Computer Science, Northeast Normal University, ChangChun, 130024, China and Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, ...;College of Computer Science, Northeast Normal University, ChangChun, 130024, China and Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, ...

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2010

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Abstract

Fuzzy n-ary hypergroups were introduced as suitable generalizations of fuzzy polygroups and a special case of fuzzy n-ary hyper groups. The aim of this paper is to introduce the notion of fuzzy n-ary factor polygroups of a polygroup. Based on the fuzzy n-ary factor group, we also study the product structures of the generating fuzzy factor n-ary groups. At the end of the paper, we prove the fundamental theorem of isomorphism of fuzzy n-ary groups.