ON THE OSCILLATING POWER SEQUENCE OF A FUZZY MATRIX

Authors
FAN ZT LIU DF
Citation
Zt. Fan et Df. Liu, ON THE OSCILLATING POWER SEQUENCE OF A FUZZY MATRIX, Fuzzy sets and systems, 93(1), 1998, pp. 75-85
Citations number
19
Categorie Soggetti
Statistic & Probability",Mathematics,"Computer Science Theory & Methods","Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
93
Issue
1
Year of publication
1998
Pages
75 - 85
Database
ISI
SICI code
0165-0114(1998)93:1<75:OTOPSO>2.0.ZU;2-Q
Abstract
The properties of an oscillating power sequence of an n x n fuzzy matr ix have been studied. The necessary and sufficient conditions have bee n established for a power sequence to be oscillatory. Furthermore, the oscillation index was detailed to some degree; especially for some ty pical Boolean matrices. It is also shown that the period index set of the power sequences of fuzzy matrices of order n is not bounded from a bove by a power of n for all integers n. (C) 1998 Elsevier Science B.V .