Max-min Operator Research Articles

Convergence of powers of a fuzzy transitive matrix

Convergence of powers of a fuzzy transitive matrix is considered and some conditions for convergence are given under the max-min operation on fuzzy matrices. A fuzzy transitive matrix is a matrix which represents a fuzzy transitive relation, and has many interesting properties. The conditions for convergence of fuzzy matrices are examined under a special operation which is essential to reduction of fuzzy matrices or fuzzy systems. Given results show graph-theoretic properties of fuzzy matrices and are useful when we consider convergence of systems represented by fuzzy matrices.