Neural networks and fuzzy systems: a dynamical systems approach to machine intelligence
Neural networks and fuzzy systems: a dynamical systems approach to machine intelligence
Essentials of fuzzy modeling and control
Essentials of fuzzy modeling and control
Fuzzy Sets and Systems - Special issue: fuzzy sets: where do we stand? Where do we go?
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Full reinforcement operators in aggregation techniques
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Aggregation of ordinal information
Fuzzy Optimization and Decision Making
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Our concern is with the problem of constructing decision functions to aid in making decision under uncertainty. We discuss the tradeoff that has to be made, when selecting a scale for representing our possible payoffs, between the power of the scale and the burden of the scale. We consider here the situation in which our basic scale is an ordinal scale, however we augment this scale by allowing an additional notion, a classification of payoffs as to whether they are acceptable or not. This allows us to have information such as A is preferred to B but both are acceptable. We indicate that this formally corresponds to an ordinal scale with a denoted element and call such a scale a Denoted Ordinal Scale (DOS). It is shown that this augmentation of the ordinal scale increases the power of the scale and therefore allows us to built more sophisticated decision models.