Research on Improved Arithmetic of Fuzzy Multiple Criteria Group Decision-making Based on Ideal Solution

Based on ideal solution, an improved fuzzy multiple criteria group decision-making arithmetic is presented, which integrates the quantitative analysis and qualitative judgment. Decision-maker utilizes linguistic variable to evaluate the weightiness as well as the qualitative object of various project. Fuzzy judgment values in the group decision matrix of decision-makers are aggregated with fuzzy set theory and weighted average arithmetic. The ideal solution and negative ideal solution are obtained by optimism index method, and the best alternative is determined by comparing the relative approximations of various projects with ideal solution. As can be seen from the result of the instance, the validity of this improved arithmetic is certain.