Abstract
Practical decision situations are becoming increasingly complicated. It is common for a person to select or rank alternatives with respect to multiple attributes, and the TODIM (an acronym in Portuguese of interactive and multiple attribute decision making) method, which is one of the first multiple attribute decision making (MADM) methods based on prospect theory, has received more attention due to its great performance in considering the bounded rationality of decision makers (DMs). However, the classical TODIM method can only handle the MADM problems with crisp numbers. In this paper, considering that intuitionistic linguistic variables are convenient to describe uncertain or imprecise information, we propose the intuitionistic linguistic TODIM (IL-TODIM) method and intuitionistic uncertain linguistic TODIM (IUL-TODIM) method to solve uncertain MADM problems with IL and IUL variables, respectively. Additionally, a novel distance measure for IUL numbers is developed, based on which we can obtain the corresponding dominance degree of one alternative over another. Finally, examples are provided to show the validity of the proposed methods, and we also conduct a comparison of the results between the IL-TODIM method and the existing intuitionistic fuzzy MADM methods to illustrate the effectiveness of our proposed methods.
Highlights
Real decision-making situations are increasingly complicated, and it is common for decision makers (DMs) to select alternatives with respect to multiple attributes
The TODIM method is one of the first multiple attribute decision making (MADM) methods considering individual behavior whose principal idea is to calculate the dominance of one alternative over another by establishing the value function so that the ranking orders can be obtained according to the global dominance degree of each alternative
Considering that the Pythagorean fuzzy set (FS), which is an extension of intuitionistic fuzzy set (IFS), is superior in describing the uncertain MADM problems, Ren et al extended the TODIM approach to attribute values taking the form of Pythagorean fuzzy information [24]
Summary
Real decision-making situations are increasingly complicated, and it is common for decision makers (DMs) to select alternatives with respect to multiple attributes. The TODIM (an acronym in Portuguese of interactive and multiple attribute decision making) method is one of the first MADM methods considering individual behavior whose principal idea is to calculate the dominance of one alternative over another by establishing the value function so that the ranking orders can be obtained according to the global dominance degree of each alternative. Considering that the Pythagorean FS, which is an extension of IFS, is superior in describing the uncertain MADM problems, Ren et al extended the TODIM approach to attribute values taking the form of Pythagorean fuzzy information [24]. A novel distance measure for intuitionistic uncertain linguistic numbers (IULN) is developed, so that the extended TODIM method can deal with the MADM problems where all the attribute values are expressed in IULNs. a case study is applied to verify the feasibility and validity of the proposed methods.
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