FUZZY INTERPRETIVE STRUCTURAL MODELING

Abstract
It is natural to inquire if fuzzy set theoretic methods could enhance the structuring method. It is shown in this paper that it is possible to develop fuzzy structuring methods. These are based on a fuzzy reach ability matrix and fuzzy graphs. Panel members respond to a relational question “is siRsj ?”along a scale from 0% to 100% representing a set of polar concepts, such as “dense-sparse.” The characteristic logic equation has its fuzzy version in the matrix form. However, in the element form, the problem is more complicated. A reachability matrix of an inter connection matrix is developed to aid the solution process. Measures of incertitude (fuzzy entropy) guide the panel members in choosing appropriate entries. Incertitudes of the set S of issues and of the fuzzy graph ┌R are defined.

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