A NON-LINEAR PROGRAMMING MODEL TO SOLVE MADM PROBLEMS WITH INTERVAL-VALUED INTUITIONISTIC FUZZY NUMBERS
DOI:
https://doi.org/10.23055/ijietap.2023.30.3.8023Abstract
It is believed that Multi Attribute Decision Making (MADM) problem is an ill-defined and unstructured problem. This difficulty intensifies while considering the uncertainty of decision-makers information about the problem. In recent years, interval-valued intuitionistic fuzzy sets (hereafter IVIFs), as a generalization of ordinal fuzzy sets, became a well-known and widely applied framework for dealing with the uncertainty of decision-making problems. However, the mathematical programming aspects of IVIFs, besides their applications in decision-making problems, were ignored. To reinforce the mathematical programming approach in the IVIF environment, an IVIF-MADM problem is formulated as a non-linear programming model. Using a variable transformation and the notion of aggregation operator, the proposed model is transformed into an equivalent non-linear programming model. Application of the proposed method is represented in a decision-making problem, and the results are compared with similar methods, proving the compatibility of the proposed method with previous ones. The solid and understandable logic with computational easiness are the main advantages of the proposed method.
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