AN ALGORITHMIC APPROACH TO SOME SPECIAL CASES OF THE GENERALIZED INVERSE PROBLEM

Citation
Gi. Adamopoulos et Cp. Pappis, AN ALGORITHMIC APPROACH TO SOME SPECIAL CASES OF THE GENERALIZED INVERSE PROBLEM, Fuzzy sets and systems, 72(1), 1995, pp. 125-127
Citations number
3
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
ISSN journal
01650114
Volume
72
Issue
1
Year of publication
1995
Pages
125 - 127
Database
ISI
SICI code
0165-0114(1995)72:1<125:AAATSS>2.0.ZU;2-T
Abstract
In this paper two special cases of the generalized Inverse Problem nam ely, given R and B find A such that A circle R = B, where R, B and A a re fuzzy matrices, is considered. In the first, A is supposed to be un ique and equal to the unit matrix. In the second, the upper bound of t he set of all possible A's is the unit matrix. The necessary and suffi cient conditions for the existence of such types of solution are deter mined in the case of A and B being matrices. In both cases an algorith mic analysis is adopted.