This paper presents some generalizations of the Gibbard -Satterthwaite result (1973, 1975) for fuzzy preference relations. It explores the implication of weakening the transitivity condition of the Ben Abdealziz et al.’s (2008) fuzzy manipulability concept. For this purpose, the max-min transitivity is replaced by weaker transitivity: the max-?-transitivity, where ? is a t-norm. In addition, th...

Abstract A new technique for adaptation of fuzzy membership functions in a fuzzy inference system is proposed. The technique relies upon the isolation of the specific membership function that contributed to the final decision, followed by the updating of this function’s parameters using steepest descent. The error measure used is thus back propagated from output to input, through the min and ma...

The general fuzzy min-max neural network (GFMMN) is capable to perform the classification as well as clustering of the data. In addition to this it has the ability of learning in a very few passes with a very short training time. But like other artificial neural networks, GFMMN is also like a black box and expressed in terms of min-max values and associated class label. So the justification of ...

State reduction of fuzzy automata has been studied by many authors. All of them have dealt with classical fuzzy automata over the Gödel structure and reduction has been done using crisp equivalence relations. In [2, 3, 7] we have made several innovations. We have studied fuzzy automata over a more general structure of truth values, over a complete residuated lattice, we have shown that better r...