Intuitionistic Fuzzy Modules and Their Structures

  • Authors:

  • Chuanyu Xu

  • Affiliations:

  • Department of Math, Zhejiang Gongshang University, Hangzhou, China 310035

  • Venue:
  • ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Artificial Intelligence
  • Year:
  • 2008

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Abstract

Intuitutionnistic fuzzy sets (FS) are without any operations. Intuitutionnistic fuzzy groups (FG) are with a kind of operations based on intuitutionnistic fuzzy relations. Their algebraic structures are simpler. In order to solve the problem, this paper forwards intuitutionnistic fuzzy modules (FMs). They are FSs with two kinds of operations based on Frelations. This paper further studies the external structure of FMs--the commutative diagram of homomorphism, and two internal structures of FMs: 1.the free FMs on the FRs are the Fproject modules and the direct sums of FMs. This paper reveals more algebraic structures of FSs.