Factor space theory and fuzzy information processing—Fuzzy decision making based on the concepts of feedback extension

Fuzzy decision making based on the concept of feedback extension, which is a new concept and can be regarded as a basic tool for fuzzy decision making, is formulated. After defining the concept of feedback extension, envelopes of feedback extension and the degrees of coincidence of the concepts are introduced. Then the representation if the intention of a concept is described. Finally, the methods of decision-making based on feedback extension—the DFE method—are discussed in detail. A numerical example is given to illustrate the approach.