Picture Fuzzy Multi-Attribute Group Decision Making Methods And Its Application In Sustainable Supplier Selection

Under the background of economic globalization,the market competition is becoming increasingly fierce.The competition among enterprises has gradually shifted from the competition of individual enterprises to the competition of supply chain in which enterprises are located.Meanwhile,because the concept of sustainable development is deeply rooted in people’s hearts,integrating the concept of sustainable development into supply chain management is conducive to enterprises to obtain higher social recognition and achieve long-term development of enterprises.In this paper,the application environment of the multi-attribute decision model is extended to the picture fuzzy environment.The original model is further improved by combining with relevant theories and aim to enrich the multi-attribute decision model and solve the problem of sustainable supplier selection.The main research contents of this paper include:(1)Based on the triple bottom line principle,set the construction of sustainable supplier evaluation index system;(2)Combining the prospect theory(PT)and TODIM multi-attribute decision making method,a new decision model is constructed.And the new model is extended to the picture fuzzy environment to form the PF-PT-TODIM method.Under the condition of both experts and attribute weights known,it is used to study the sustainable supplier selection problem.(3)In the picture fuzzy environment,a decision model based on prospect theory and MABAC multi-attribute decision making method is constructed to form the PF-PT-MABAC decision making method.Under the condition that the expert weight is known and the attribute weight is unknown,the entropy weight method is used to objective weight of the attributes.Utilize the PF-PT-MABAC method to rank the potential sustainable suppliers.(4)Combined cumulative prospect theory(CPT)with EDAS multi-attribute decision making method and extended to picture fuzzy environment to form PF-CPT-EDAS model.Under the condition that the expert weight is unknown and the attribute weight is known,the TOPSIS method is used to determine the expert weight and solve the sustainable supplier selection problem.The innovations of this paper are as follows:(1)Construct a sustainable supplier evaluation index system based on the triple bottom line principle;(2)Based on the traditional multi-attribute decision model,a new multi-attribute decision model is constructed by integrating prospect theory or cumulative prospect theory.