Abstract
Multicriteria decision-making (MCDM) refers to making decisions in the presence of multiple and usually conflicting criteria. Fuzzy decision-making is used where vague and incomplete data exist for the solution. Fuzzy multicriteria decision-making is one of the most popular problems handled by the researchers in the literature. In this paper, we survey the latest status of fuzzy multicriteria decision-making methods and classify these methods dividing into two parts: fuzzy multiattribute decision-making (MADM) and fuzzy multiobjective decision-making (MODM). Most of the publications are on fuzzy MADM since there are a plenty of classical multiattribute decision-making methods in the literature. Tabular and graphical illustrations for each method are given.
Highlights
Real-world decision-making problems are usually too complex and ill-structured to be considered through the examination of a single criterion that will lead to the optimum decision
Multicriteria Decision Making (MCDM) constitutes an advanced field of operations research that is devoted to the development and implementation of decision support tools and methodologies to confront complex decision problems involving multiple criteria, goals, or objectives of conflicting nature [1]
Discrete MCDM problems are addressed through the multiattribute decision making (MADM) methods while continuous MCDM problems are addressed through multiobjective decision making (MODM) methods
Summary
Real-world decision-making problems are usually too complex and ill-structured to be considered through the examination of a single criterion that will lead to the optimum decision. Such a unidimensional approach is merely an oversimplification of the actual nature of the problem at hand, and it can lead to unrealistic decisions. Problems where the decision maker must evaluate a finite set of alternatives in order to select the most appropriate one and to rank them from the best to the worst are called discrete MCDM problems while problems where there is an infinite set of alternatives are called continuous MCDM problems. Discrete MCDM problems are addressed through the multiattribute decision making (MADM) methods while continuous MCDM problems are addressed through multiobjective decision making (MODM) methods
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