About the group approach in the task of fuzzy synthetic evaluation

Abstract

The fuzzy synthetic evaluation method can be applied to problems where we need to evaluate object determined by various heterogeneous features. The problem is to determine quantitatively significances of various features th6666/at is their weights. Using various weight vectors leads to the different results of evaluation. There are various methods to define weight vectors but there is no criterion to determine the best of them. The work is devoted to the problem of determining the balance in the method of fuzzy synthetic evaluation sites. The paper proposes the use of the cluster approach to determine the weights of the criteria which in a sense, a universal and can be applied to various modifications of this method. We establish a connection between the fuzzy synthetic evaluation method and fuzzy classifications and propose a group approach to determine weights of the method. Also, the article describes the proof of the theorem, which determines the weight of the criteria for the group approach.