Journal
INTERNATIONAL JOURNAL OF KNOWLEDGE-BASED AND INTELLIGENT ENGINEERING SYSTEMS
Volume 22, Issue 4, Pages 249-259Publisher
IOS PRESS
DOI: 10.3233/KES-180389
Keywords
Multiple attribute decision making (MADM); interval-valued Pythagorean fuzzy numbers (IVPFNs); TODIM method; prospect theory; q-rung interval-valued orthopair fuzzy sets (q-RIVOFSs)
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Funding
- National Natural Science Foundation of China [71571128]
- Humanities and Social Sciences Foundation of Ministry of Education of the People's Republic of China [17XJA630003]
- Construction Plan of Scientific Research Innovation Team for Colleges and Universities in Sichuan Province [15TD0004]
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Recently, the TODIM method has been used to solve multiple attribute decision making (MADM) problems. The interval-valued Pythagorean fuzzy sets (IVPFSs) are useful tools to depict uncertainty of the MADM. In this paper, we will extend the TODIM method to the MADM with the interval-valued Pythagorean fuzzy numbers (IVPFNs). Firstly, the definition, comparison and distance of IVPFNs are briefly introduced, and the steps of the classical TODIM method for MADM problems are presented. Then, the extended classical TODIM method is proposed to deal with MADM problems with the IVPFNs, and its significant characteristic is that it can fully consider the decision makers' bounded rationality which is a real action in decision making. Furthermore, we develop the concept of the q-rung interval-valued orthopair fuzzy sets (q-RIVOFSs) and extend the TODIM method to q-RIVOFNs. Finally, a numerical example is proposed and a comparative analysis is given.
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