Abstract
Choice and decision making are an integral part of the purposeful activities of people in all areas of public and private life. Tasks of multi-criteria decision making are characterised by the fact that alternative decisions are evaluated by a set of criteria and the concept of a decision and its outcome coincide. The defining concept in such problems is the concept of a set of Pareto optimal decisions (Pareto set). This set forms alternative decisions that are not comparable in terms of the set of evaluation criteria. The choice of the optimal decision in the Pareto set can be performed only on the basis of the subjective preferences of the decision maker. In recent decades, extensions of traditional methods of multi-criteria decision making to a fuzzy environment have been proposed. One of the well-known approaches to multi-criteria decision making is the TOPSIS method. In the paper, a fuzzy version of this method is considered in situations where the values of evaluation criteria are set in the form of fuzzy numbers.
Highlights
In a broad sense, decision-making problems can be divided into two large classes:(1) Problems of decision making in conditions of certainty, when the outcomes of alternative decisions are not influenced by any uncertain factors
The determining factor in multi-criteria decision making is the concept of a set of Pareto optimal alternative decisions (Pareto set)
Multi-criteria decision-making problems are specific problems in which each alternative decision is evaluated by a set of values of the relevant criteria and there are no uncertainties regarding the outcomes of these decisions
Summary
Tasks of multi-criteria decision making are characterised by the fact that alternative decisions are evaluated by a set of criteria and the concept of a decision and its outcome coincide. The defining concept in such problems is the concept of a set of Pareto optimal decisions (Pareto set). This set forms alternative decisions that are not comparable in terms of the set of evaluation criteria. Extensions of traditional methods of multi-criteria decision making to a fuzzy environment have been proposed. A fuzzy version of this method is considered in situations where the values of evaluation criteria are set in the form of fuzzy numbers. Keywords – Fuzzy criteria values, ideal negative decision, ideal positive decision, multi-criteria decision making
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