Interval-valued Intuitionistic Fuzzy Numbers Decision-making Method Based onGrey Incidence Analysis and D-S Theory of Evidence
基于灰色关联分析和D-S证据理论的区间直觉模糊决策方法

A method based on grey incidence analysis and D-S theory of evidence is proposed for decision-making problems with the attribute values of corresponding alternatives in the form of interval-valued intuitionistic fuzzy numbers. The uncertain degrees of different indices are determined by using the grey incidence analysis. First, the concept of interval-valued score function and interval number point operators are introduced, and the interval-valued intuitionistic fuzzy numbers are transformed into score function by them. The uncertain degrees of different indices are determined by using the grey incidence analysis and score functions, and the mass functions of different alternatives in different indices are obtained by the uncertain degrees and score functions. Information can be fused in accordance with the D-S combination rule and the best alternative is got by using the method. Finally, a numerical example is utilized to illustrate that a satisfying conclusion can be obtained and an obvious decrease can be observed in the uncertainty of decision making.