Classification of Fuzzy Problems of Optimal Sets Partition and Some Approaches to Their Solution

摘要

The classification of fuzzy problems of optimal sets partition is presented. Consideration is given to three approaches to solving problems of optimal partitioning of sets in case of fuzzy set of admissible partitions. It has been proved that solutions obtained on the basis of the first and the second approaches are equivalent. The third approach is based on the auxiliary function introduction which implies the possibility of employing the Bellman-Zadeh method for solving the problems considered.