This paper contains some theoretical results on fuzzy-relation equations and applications to analysis of fuzzy systems as well as identification and control problems. If Ai, 1 ⩽ i ⩽ k, are fuzzy inputs, B is a fuzzy output, and R is a fuzzy relation describing the system, the above problems are illustrated by means of a max-min multidimensional equation of type . Furthermore, we investigate some properties of fuzzy systems described by fuzzy-relation equations, focusing our attention on energy and entropy measures of fuzziness of solutions of the class of equations under discussion.
Some theoretical aspects of fuzzy relation equations describing fuzzy systems / A., Di Nola; W., Pedrycz; Sessa, Salvatore. - In: INFORMATION SCIENCES. - ISSN 0020-0255. - STAMPA. - 34:3(1984), pp. 241-264. [10.1016/0020-0255(84)90051-3]
Some theoretical aspects of fuzzy relation equations describing fuzzy systems
SESSA, SALVATORE
1984
Abstract
This paper contains some theoretical results on fuzzy-relation equations and applications to analysis of fuzzy systems as well as identification and control problems. If Ai, 1 ⩽ i ⩽ k, are fuzzy inputs, B is a fuzzy output, and R is a fuzzy relation describing the system, the above problems are illustrated by means of a max-min multidimensional equation of type . Furthermore, we investigate some properties of fuzzy systems described by fuzzy-relation equations, focusing our attention on energy and entropy measures of fuzziness of solutions of the class of equations under discussion.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
