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 F relations. 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 F project modules and the direct sums of FMs. This paper reveals more algebraic structures of FSs. © 2008 Springer-Verlag Berlin Heidelberg.
Cite
CITATION STYLE
Xu, C. (2008). Intuitionistic fuzzy modules and their structures. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5227 LNAI, pp. 459–467). https://doi.org/10.1007/978-3-540-85984-0_55
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