Convergence of powers of a fuzzy transitive matrix

✍ Scribed by Hiroshi Hashimoto

• Publisher: Elsevier Science
• Year: 1983
• Tongue: English
• Weight: 335 KB
• Volume: 9
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(83)80015-3

✦ Synopsis

Convergence of powers of a fuzzy transitive matrix is considered and some conditions for convergence are given under the max-mid 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.