Fuzzy relation equation under a class of triangular norms: A survey and new results.

Título inglés	Fuzzy relation equation under a class of triangular norms: A survey and new results.
Título español	Ecuación relacional difusa bajo una clase de normas triangulares: Revisión y nuevos resultados.
Autor/es	Di Nola, Antonio ; Pedrycz, Witold ; Sessa, Salvatore ; Pei Zhuang, Wang
Organización	Dep. Autom. Control Inform. Sci. Silesian Tech. Univ., Gliwice, Polonia;Ist. Mat. Fac. Archit. Univ. Napoli, Nápoles, Italia;Dep. Math. Beijing Normal Univ., Pekín, China
Revista	0210-7821
Publicación	1984, 8 (2): 99-145, 60 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	By substituting the classical lattice operator min of the unit real interval with a triangular norm of Schweizer and Sklar, the usual fuzzy relational equations theory of Sanchez can be generalized to wider theory of fuzzy equations. Considering a remarkable class of triangular norms, for such type of equations defined on finite sets, we characterize the upper an lower solutions. We also characterize the solutions posessing a minimal fuzziness measure of Yager valued with respect to a triangular norm and conorm. Moreover we discuss the problem of characterization of the approximate solutions of fuzzy equations. Finally, the role of the equations considered here in creation of a formal framework for copying with fuzziness is illustrated by various examples in some well known schemes in applications of fuzzy set theory.
Clasificación UNESCO	110208 ; 120102
Palabras clave español	Conjuntos difusos ; Probabilidad ; Ecuaciones ; Norma triangular
Código MathReviews	MR0783401
Código Z-Math	Zbl 0581.04002
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