Ranking Indices in Dempster-Shafer Theory and Their Application to Decision Making Problems
Masahiro INUIGUCHI, Yutaka INOUE, Yasufumi KUME
In this paper, the ranking methods of basic probability assignments (b. p. a.) in Dempster-Shafer theory are discussed and decision making methods based on the ranking indices are proposed. First, it is emphasized that a b. p. a. has two interpretations, i. e., measure-theoretic and set-theoretic interpretations. On the basis of these two interpretations, various ranking indices for b. p. a. are defined and classified into six groups. Next, using Orlovsky's fuzzy decision making method, we apply the six indices to two types of decision making problems, i. e., the problem in which a probability is assigned not only to a state of nature but also to a set of states of nature and the problem with interval utilities. Six Kinds of decision making methods are proposed.