A New Method for Multi-Attribute Decision Making with Intuitionistic Trapezoidal Fuzzy Random Variable

作者：Yuan, Jiahang^*; Li, Cunbin

来源：International Journal of Fuzzy Systems, 2017, 19(1): 15-26.

DOI：10.1007/s40815-016-0184-y

• Intuitionistic trapezoidal fuzzy random variable
• Mahalanobis
• Taguchi Gram-Schmidt
• Grey evidence theory
• Multi-attribute decision making

In consideration of the interaction among attributes and the uncertainty in the decision information, this paper proposes an intuitionistic trapezoidal fuzzy random decision making method based on Mahalanobis-Taguchi Gram-Schmidt and evidence theory. Firstly, by the acquired intuitionistic trapezoidal fuzzy samples in different periods of the decision making process, the unknown parameters of entire intuitionistic trapezoidal fuzzy populations with known distribution pattern are estimated, and then an intuitionistic trapezoidal fuzzy random matrix is obtained. Secondly, an intuitionistic fuzzy decision matrix with expectation and variance is established, and then a new score function is defined to transform a normalized expectation intuitionistic fuzzy number matrix into a score function matrix. Finally, Mahalanobis-Taguchi Gram-Schmidt and improved evidence theory are combined to deal with the score function matrix, and a ranking of alternatives is obtained according to the belief function value. An illustrative example is taken in the present study to make the proposed method comprehensible.

• 出版日期2017-2
• 单位华北电力大学（保定）; 华北电力大学