title: Fuzzy relation equations and fuzzy inference systems: an inside approach.
abstract: This paper investigates and extends the use of fuzzy relation equations for the representation and study of fuzzy inference systems. Using the generalized sup-t (t is a triangular norm) composition of fuzzy relations and the study of sup-t fuzzy relation equations, interesting results are provided concerning the completeness and the theoretical soundness of the representation, as well as the ability to mathematically formulate and satisfy application-oriented design demands. Furthermore, giving a formal study of fuzzy partitions and some useful aspects of fuzzy associations and fuzzy systems, the paper can be used as a theoretical background for designing consistent fuzzy inference systems.
authors.affiliation: Dept. of Electr. & Comput. Eng., Nat. Tech. Univ. of Athens.
authors.forename: G B
authors.initials: GB
authors.lastname: Stamou
authors.forename: S G
authors.initials: SG
authors.lastname: Tzafestas