关键词: 相似性度量, 真, 假隶属函数, Vague集

Abstract: It is difficult to describe the complex influence of uncertain information on similarity measurement of Vague value（set） which is neglected by the most existing measurements. Therefore, based on the existing main methods, a new similarity measure method of Vague value（set） is proposed and its properties are systematically analyzed considering the influence of uncertain information on similarity measurement of Vague value（set） in the quadratic voting model. This method has better similarity discrimination ability than the existing ones. The new similarity measure of Vague value（set） is applied to multi-criteria fuzzy decision-making. The better scheme is obtained by comparing the similarity under the criterion of the candidate scheme with ideal scheme’s. The validity and feasibility of this method are verified by an example.

Key words: similarity measure, true , false membership function, Vague set