Abstract
Some methods of fuzzy structural modeling are proposed as applications of fuzzy theory to structural modeling.FISM/Fuzzy is such a modeling among them. In this modeling a trainsitive coupling problem yields in embedding process. For the problem, however, there are merely some algorithms to find particular solutions to the transitive coupling problem. An algorithm to generate general solutions has not been jet found. In this paper, generalizing the transitive coupling problem to a problem to solve simultaneous equations with two fuzzy eigen relation equations and a fuzzy relation inequality we present an algorithm to generate solutions to the generalized problem, and also it is clear that the presented algorithm consequently generates all solutions to the transitive coupling problem.
