Abstract
Type-2 fuzzy sets (T2FSs), characterized by a fuzzy membership function, are much useful tool for representing the decision knowledge in the decision making process. Interval Type-2 fuzzy sets (IT2FSs) are the most commonly used T2FSs. In this study, a method based upon ranking values of IT2FSs is used to tackle multi-criteria decision making (MCDM) problems. First, some basic concepts and arithmetic operations for IT2FSs are presented. Then, three kinds of fuzzy ranking methods, proposed by [1], based on arithmetic average (AA), geometric average (GA) and harmonic average (HA) operators to compute the ranking values of IT2FSs are applied. Finally, the outcomes of MCDM methods based on the ranking values of IT2FSs are obtained and also compared with the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) method based on Type-1 fuzzy sets (T1FSs) for a numerical example.
Highlights
The object of multi-criteria decision-making (MCDM) is to select a top option from a group of alternatives by evaluating multiple criteria
Fuzzy MCDM method based upon Type-1 fuzzy sets (T1FSs), proposed by [10], are unsuccessful to deal with high complexity and vagueness
[12] proposed a new method for fuzzy multiple criteria group decision making (FMCGDM) based upon the arithmetic operations of Interval Type-2 fuzzy sets (IT2FSs). [13] proposed a method for FMCGDM by utilizing ranking values and the arithmetic operations of IT2FSs. [14] presented a FMCGDM by using the IT2 TOPSIS method. [15] presented a FMCGDM based on ranking IT2FSs. [4] presented multi-attribute group decision making models for IT2F environment. [1] introduced a new method to deal MCDM problems with merged ranking values in IT2F environment. [16] introduced a merged method of Analytical Hierarchy Process and TOPSIS method based on IT2FSs
Summary
The object of multi-criteria decision-making (MCDM) is to select a top option from a group of alternatives by evaluating multiple criteria. [3] presented an extension of the TOPSIS method for group decision making under fuzzy environment. Yapıcı Pehlivan / A Novel Multi-Criteria Decision Making Method based on The Ranking Values of Interval Type-2 Fuzzy Sets: An Application of a Select for a Telecommunication Company extension of T1FSs, were presented by [11]. [12] proposed a new method for fuzzy multiple criteria group decision making (FMCGDM) based upon the arithmetic operations of Interval Type-2 fuzzy sets (IT2FSs). [1] introduced a new method to deal MCDM problems with merged ranking values in IT2F environment. [16] introduced a merged method of Analytical Hierarchy Process and TOPSIS method based on IT2FSs. In this study, we use a method based on ranking values of IT2FSs to handle MCDM problems.
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