Cooperative neighbors in defuzzification

Abstract Defuzzification is a problem of optimized selection of an element from a fuzzy set. It is in fact an optimization problem, optimization with respect to the whole system under consideration. We believe that neighbors can contribute and make a better selection in the process of defuzzification. We have proposed here a method that uses a collective decision making of cooperative neighbors. Natural selection process has been the basis of our model. We have also outlined three simple functions to show that adaptiveness can be incorporated in the process of defuzzification without making a possibility-probability transformation. The method further uses the concept of logical distance and the interaction between the neighbors to select an element. The neighbors poll and reach a decision of their most ideal representative.

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