Particular Solutions to a Transitive Coupling Problem in Fuzzy Structural Modeling

Abstract

Fuzzy transitive coupling is interconnecting two fuzzy subsystem models defined by fuzzy matrices A and B, and a common, transitive, fuzzy contextual relation to form a fuzzy system model defined by fuzzy matrix M. It is an integral part of fuzzy structural modeling. It may be difficult to find general solutions to this problem. In this paper, we show that this problem has particular solutions. We also consider transitive bordering corresponding to the special case B=1. Furthermore, we describe the effective application of the fuzzy transitive coupling to the embedding process for fuzzy structural modeling.