An ELECTRE I-based multi-criteria group decision making method with interval type-2 fuzzy numbers and its application to supplier selection

Because of these abilities, IT2 FNs have been widely applied in decision support systems (DSS). In this paper, the elimination and choice translating reality method is extended using interval type-2 fuzzy numbers for more effective multi-criteria group decision-making under an uncertain environment. An α-based distance method is first proposed to measure the proximity between the interval type-2 fuzzy numbers. Then, an entropy measure for the IT2 FNs and an entropy weight model are developed to objectively determine the criteria weights without any weight information. By applying the α-based distance method, the concordance and discordance for each alternative are measured to determine the partial-preference outranking order. The process has been shown as follow. 187