Decomposition of multiattribute fuzzy utility functions
The main goal is a problem of direct utility assessment and determination of a fuzzy preference relation on a set of multidimensional consequences of alternatives. The concept of preferential and utility independence in multiattribute utility theory is extended to the case of linguistic preference relations. The decomposition of the multiattribute fuzzy utility function is made for the case of one utility independent criterion under mutual independence of criteria. An algorithm for constructing multiattribute fuzzy utility functions is described, which is based on their decomposition. The presented results are very useful for the practice in decison making.
scientific article; zbMATH DE number 4059108