Extension of discrete t-norms and t-conorms to discrete fuzzy numbers
The aim of this paper is to extend a monotone operation defined on a discrete setting to a closed binary operation on the partially ordered set A(1) of discrete fuzzy numbers whose support is a subset of natural numbers. Moreover, we study several properties like the monotonicity, commutativity, associativity or the boundary condition when the extended operation is a discrete t-norm or a discrete t-conorm defined on a finite chain L = {0, I,.,., n} subset of N. Also, we study the Frank's equation for t-norms and t-conorms defined on a special subset of A(1). Finally, we propose an application to obtain consensus opinion based on discrete fuzzy weighted normed operators. (C) 2010 Elsevier B.V. All rights reserved.
discrete t-norm discrete fuzzy number discrete t-conorm frank's equation lattice