Abstract
Multiple criteria decision making methods have received different extensions under the uncertain environment in recent years. The aim of the current research is to extend the application of the MULTIMOORA method (Multiobjective Optimization by Ratio Analysis plus Full Multiplicative Form) for group decision making in the uncertain environment. Taking into account the advantages of IVIFS (interval-valued intuitionistic fuzzy sets) in handling the problem of uncertainty, the development of the interval-valued intuitionistic fuzzy MULTIMOORA (IVIF-MULTIMOORA) method for group decision making is considered in the paper. Two numerical examples of real-world civil engineering problems are presented, and ranking of the alternatives based on the suggested method is described. The results are then compared to the rankings yielded by some other methods of decision making with IVIF information. The comparison has shown the conformity of the proposed IVIF-MULTIMOORA method with other approaches. The proposed algorithm is favorable because of the abilities of IVIFS to be used for imagination of uncertainty and the MULTIMOORA method to consider three different viewpoints in analyzing engineering decision alternatives.
Highlights
Multicriteria decision making (MCDM) is a growing field of operations research both from theoretical and implementation perspectives
The results are compared to the rankings yielded by some other methods of decision making with IVIF information
The interval-valued intuitionistic fuzzy MULTIMOORA method is proposed for solving a group decision making problem under uncertainty
Summary
Multicriteria decision making (MCDM) is a growing field of operations research both from theoretical and implementation perspectives. The importance of MCDM can be drawn from Zeleny [1]: “it has become more and more difficult to see the world around us in a uni-dimensional way and to use only a single criterion when judging what we see. Rank, and order the objects of our choice with respect to multiple criteria of choice.”. The MCDM field is further divided into two classes, including multiobjective decision making (MODM) and multiattribute decision making (MADM). These classes are, respectively, associated with planning and selection classification of Simon [2] for decision making problems.
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