Multi-Criteria Decision-Making Problems and Methods under Uncertainty

Nowadays, multi-criteria decision making (MCDM) plays an important role in various research areas, especially industrial engineering. It consists of two main parts, multi-attribute decision making (MADM) and multi-objective decision making (MODM). In addition, uncertainty as an inherent part of MCDM problems has been considered in a practical situation attracted by researchers in recent years. To cope with the uncertainty, there are three main ways, namely stochastic, robust and fuzzy set theory. In this talk, MCDM methods under the fuzzy environment are discussed. In fact, the Analytic Hierarchy Process (AHP), Analytic Network Process (ANP), Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS), Vlse Kriterijumska Optimizacija I Kompromisno Resenje (VIKOR), Multi-Objective Optimization on the basis of Ratio Analysis (MOORA), Multi-Objective Optimization on the basis of Ratio Analysis with Full Multiplicative Form (MULTIMOORA), new Additive Ratio Assessment (ARAS), Complex Proportional Assessment of alternatives (COPRAS), Decision making trial and evaluation laboratory (DEMATEL), ELimination Et Choix Traduisant la REalité (ELECTRE), Preference Ranking Organization METHod for Enrichment of Evaluations (PROMETHEE), and Best-Worst methods are reviewed and discussed. Then, the classic fuzzy sets, interval-valued fuzzy sets, type-۲ fuzzy sets, intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets, hesitant fuzzy sets, interval-valued hesitant fuzzy sets, Pythagorean fuzzy sets, interval-valued Pythagorean fuzzy sets, Z-numbers and D-numbers are expressed. Furthermore, several published papers in the case of the integrated fuzzy sets with MCDM methods in the manifold areas, such as green supplier selection, evaluation of supply chain resilience, facility location problem and weighting to experts are presented.

کلیدواژه ها:

Multi-criteria decision making ، fuzzy sets ، intuitionistic fuzzy sets ، interval-valued intuitionistic fuzzy sets ، hesitant fuzzy sets ، Pythagorean fuzzy sets ، Z-numbers and D-numbers