Abstract
By using a general class of fuzzy connectives of
Yager [
Fuzzy Sets and Systems
4 (1980)
, 235–242],
Pedrycz [Fuzzy relational equations with generalized convectives and their applications,
Fuzzy Sets and Systems
10 (1983)
, 185–201] has shown that the classical fuzzy relation equations of
Sanchez [
in “Fuzzy Automata and Decision Processes” (M. M. Gupta, G. N. Saridis, and B. R. Gaines, Eds.), pp. 221–234, North-Holland, Amsterdam, 1977
] can be considered as a particular case of a more extensive class of fuzzy equations. For such types of equations, in this paper the solutions having the greatest energy measure and the smallest possible entropy measure of fuzziness are characterized.