A Measure for Decision-Making Problem on Direct Product Space

Abstract

In usual decision-making problems, attributes for an alternative are evaluated, and then, total evaluation for the alternative is done. Therefore, it is necessary to develop a suitable measure to integrate evaluations of given attributes. The difficulties in this process lie in : (i) dealing with the interaction among evaluations, (ii) taking into account some factors influencing an evaluation. However, any conventional literature on fuzzy measure has not discussed (ii) sufficiently. In this paper, P-measure which is defined on direct product space is proposed, to deal with (ii). Furthermore, we propose human measure, through t-conorm, which is possible to handle complexities (i) and (ii) simultaneously. Thus, the proposed human measure is found to be effective in decision-making problems.