A Class of Linear Multi-Objective Decision Making Model Based on Level-2 TFNwTFC Coefficients and Its Application to Supplier Selection

作者：Zhou, Xiaoyang; Xu, Jiuping^*; Zhu, Qing

来源：International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, 2014, 22(3): 339-366.

DOI：10.1142/S0218488514500172

• Level-2 TFNwTFC
• linear multi-objective decision making model
• expected model with chance constraints
• epsilon-constraint method
• supplier selection

In this paper, we concentrate on a class of linear multi-objective decision making models with level-2 TFNwTFC coefficients. Firstly, we define a level-2 triangular fuzzy number with a triangular fuzzy centre (TFNwTFC) based on level-2 fuzzy set theory, and propose a theorem on how to transform it into an (alpha, beta)-level trapezoidal fuzzy number(TrFN). Secondly, in order to deal with the linear multi-objective decision making model with TrFN coefficients, we present an expected multi-objective model with chance constraints, and discuss its equivalent model. Then the epsilon-constraint method is employed to determine a solution to the crisp equivalent model. Finally, a supplier selection problem is used to illustrate the proposed models and approaches.

• 出版日期2014-6
• 单位陕西师范大学; 四川大学