✦ LIBER ✦

Convergence of the power sequence of a nearly monotone increasing fuzzy matrix

✍ Scribed by Zhou Tian Fan; De-Fu Liu

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 384 KB
Volume: 88
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(96)00040-1

No coin nor oath required. For personal study only.

✦ Synopsis

By introducing a new classification, the essential role of the principal diagonal elements for the convergence of the power sequence of a fuzzy matrix A, is exported at the level of A itself. The established theorems cover those of monotone or nearly monotone increasing fuzzy matrices. The convergence index of matrices of this type is always less than or equal to n. The results can be considered to be a generalization of the results obtained by some authors on the one hand, and on the other it is more important that the results have laid the foundation for studying the convergence and oscillation for power sequence of an arbitrary fuzzy matrix in general. Furthermore, as a typical case which needs to be considered, the necessary and sufficient conditions for an increasing fuzzy matrix A to have the property A n i < A ~ _ A,,+I were established and the typical form was represented.

📜 SIMILAR VOLUMES

Convergence of powers of a fuzzy matrix

✍ Michael G Thomason 📂 Article 📅 1977 🏛 Elsevier Science 🌐 English ⚖ 237 KB

Convergence of powers of a fuzzy transit

Convergence of powers of a fuzzy transitive matrix

✍ Hiroshi Hashimoto 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 335 KB

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 co

On the oscillating power sequence of a f

On the oscillating power sequence of a fuzzy matrix

✍ Zhou-Tian Fan; De-Fu Liu 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 581 KB

The properties of an oscillating power sequence of an n × n fuzzy matrix have been studied. The necessary and sufficient conditions have been established for a power sequence to be oscillatory. Furthermore, the oscillation index was detailed to some degree; especially for some typical Boolean matric

A note on the power sequence of a fuzzy

A note on the power sequence of a fuzzy matrix

✍ Zhou-Tian Fan 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 316 KB

On the power sequence of a fuzzy matrix

On the power sequence of a fuzzy matrix (III). A detailed study on the power sequence of matrices of commonly used types

✍ Zhou-Tian Fan; De-Fu Liu 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 431 KB

Focusing on the behavior of the principal diagonal elements of A k, a new classification has been introduced, which is called circularly k-dominating. It turns out that the convergence index or the oscillating index of the power sequence of an n x n fuzzy matrix of the circularly k-dominating type i

The period of powers of a fuzzy matrix

✍ Hideyuki Imai; Yuichiro Okahara; Masaaki Miyakoshi 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 78 KB