A grey relational projection method for multi-attribute decision making based on intuitionistic trapezoidal fuzzy number

作者：Zhang, Xin; Jin, Fang; Liu, Peide^*

来源：Applied Mathematical Modelling, 2013, 37(5): 3467-3477.

DOI：10.1016/j.apm.2012.08.012

• Multiple criteria analysis
• The intuitionistic trapezoidal fuzzy number
• Multiple attribute decision making
• The entropy weight
• The grey relational projection method

With respect to multiple attribute decision making (MADM) problems in which the attribute value takes the form of intuitionistic trapezoidal fuzzy number, and the attribute weight is unknown, a new decision making analysis methods are developed. Firstly, some operational laws and expected values of intuitionistic trapezoidal fuzzy numbers, and distance between two intuitionistic trapezoidal fuzzy numbers, are introduced. Then information entropy method is used to determine the attribute weight, and the grey relational projection method combined grey relational analysis method and projection method is proposed, and to rank the alternatives are done by the relative closeness to PIS which combines grey relational projection values from the positive ideal solution and negative ideal solution to each alternative. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

• 出版日期2013-3-1
• 单位山东财经大学