DECOMPOSITION PROBLEM OF FUZZY RELATIONS—FURTHER RESULTS

Abstract

In the paper three classes of decomposable fuzzy relations defined in the Cartesian product of a Finite space are considered. It is shown that powers of decomposable fuzzy relations are convergent. Relationships between decomposable and transitive fuzzy relations are analysed and decomposition problem of transitive fuzzy relations is considered.

INDEX TERMS:

• Fuzzy relation
• decomposition of relation
• transitivity