A group decision making procedure for fuzzy interactive linear assignment programming

This paper presents a new decision making tool when the decision data are not crisp data and the decision maker(s) want(s) to rank the alternatives during an interactive process. In this paper, we propose an interactive method which uses qualitative data to calculate weights of criteria and rank the selected alternatives. Because of existence of linguistic terms in the decision matrix and the weight of each criterion, which can be expressed in trapezoidal fuzzy numbers, an interactive method is proposed for ranking of each alternative with proper weight for each criterion. By using the method, decision makers can provide and modify their preference information gradually within the process of decision making so as to make the decision result more reasonable. Finally a numerical example illustrates the proposed method.