Abstract
Decision-making in our multi-dimensional society today is very important. The property of “fuzziness” appears usually in a human decision-making process. We have studied to formulate a fuzzy process of human thinking, especially human decision-making. In a series of our studies, the present paper focuses its attention on a fuzzy theoretical one-dimensionalizing method of multi-dimensional quantity. First, in Capter 2, the fuzzy theoretical one-dimensionalizing methods which introduce a fuzzy function with its fuzziness [(i) one-dimensionalizing method by the linear model method and (ii) one-dimensionalizing method by the typical-dimension method] are proposed. Second, in Capter 3, to examine the appropriateness of the proposed methods the estimation problem of an arrangement rule of playing cards (whose applicability as experimental materials was confirmed through our previous studies) is taken up, and the fuzzy theoretical relation between the total inference curve of card arrangement and the inference curve of each dimension (number, suit or color) of card arrangement is studied. At last, in Capter 4, in order to point out the applicability of the one-dimensionalizing method for the ranking problem the character evaluation test is considered, and the fuzzy theoretical ralation between the total evaluation and the evaluation of each dimension (health, fortune, figure or heart) is studied. High appropriateness and wide applicability of the two one-dimensionalizing methods proposed in the paper are shown in the application examples in which the error of estimation and evaluation by the methods is in the allowable domain.