An interesting property of the Schein rank of a fuzzy matrix stressed by K.H. Kim and F.W. Roush is formalized as definition of the basis of a set of fuzzy vectors (defined over a commutative semiring) with respect to another set of fuzzy vectors. We apply this definition and another related concept in the setting of finite fuzzy relation equations. In particular, we give a sufficient condition for the existence of the smallest solution of a max-min fuzzy equation.
Further contributions to the study of finite fuzzy relation equations / A., Di Nola; S. Z., Guo; Sessa, Salvatore; P. Z., Wang. - In: FUZZY SETS AND SYSTEMS. - ISSN 0165-0114. - STAMPA. - 26:1(1988), pp. 93-104. [10.1016/0165-0114(88)90008-5]
Further contributions to the study of finite fuzzy relation equations
SESSA, SALVATORE;
1988
Abstract
An interesting property of the Schein rank of a fuzzy matrix stressed by K.H. Kim and F.W. Roush is formalized as definition of the basis of a set of fuzzy vectors (defined over a commutative semiring) with respect to another set of fuzzy vectors. We apply this definition and another related concept in the setting of finite fuzzy relation equations. In particular, we give a sufficient condition for the existence of the smallest solution of a max-min fuzzy equation.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
