1995 Volume 7 Issue 2 Pages 322-329
Fuzzy Flexible Interpretive Structural Modeling (FISM/fuzzy) is a fuzzy version of Flexible Interpretive Structural Modeling (FISM). The fuzzy transitive embedding is a problem of how to efficiently fill the fuzzy reachability matrix. In this paper a process and strategy for the fuzzy transistive embedding of FISM/fuzzy are proposed.To perform the fuzzy transitive embedding logically and effectively, a fuzzy partially filled reachability matrix (FPR-matrix) is proposed. FPR-matrix is an extension of a fuzzy reachability matrix ans has great utility in the process of developing a fuzzy reachability matrix. The implication theory for FPR-matrix is applied to perform the fuzzy transitive embedding of FISM/fuzzy.In this paper, the algorithm and the strategy for the fuzzy transitive embedding are proposed. Use of the algorithm and strategy makes it possible to do a flexible and an efficient modeling for complex and fuzzy systems.
