Method for Triangular Fuzzy Number Multiple Attributive Group Decision Making Based on Ideal Solution
Maoqing Li · Journal of Xiamen University · 2008
For the fuzzy multiple attributive group decision making problems,a new method for the fuzzy group multi-attribute decision-making that the attribute weights and the attribute values are both in the forms of triangular fuzzy numbers is proposed.The method first suppose the alternative′s evaluation values under subject attribute are triangular fuzzy numbers which are to express the vagueness and uncertainty of experts′ evaluation values.And then assume that each subjective attribute,has a corresponding weight value vector of the experts to express the opinion′s important degree of each expert in different area while the similarity of the expert′s opinion is also taken into account and expert′s opinions are aggregated to gain the fuzzy decision matrix of experts′ group on the alternative set.Finally,the positive ideal scheme and negative ideal scheme for triangular fuzzy numbers are defined.The alternatives are ranked by the proximity degrees of each alternative to ideal solution.A method based on ideal solution to fuzzy group multi-attribute decision-making problem of triangular fuzzy numbers is presented.At last,a numerical example is put forward to illustrate the feasibility and effectiveness of the developed method.