RETRACTED: TODIM method for multiple attribute decision making with 2-tuple linguistic pythagorean fuzzy information

Abstract

In this article, we expand the original TODIM(Portuguese acronym for Interactive Multi-Criteria Decision Making) method to the 2-tuple linguistic Pythagorean fuzzy environment to propose the 2TLPFs TODIM method. In the extended method, we use 2-tuple linguistic Pythagorean fuzzy numbers (2TLPFNs) t o present the criteria values in multiple attribute decision making (MADM) problems. Firstly, we briefly introduce the definition, operational laws, some aggregation operators and the distance calculating method of 2TLPFNs. Then, the calculation steps of the original TODIM model are presented in simplified form. Thereafter, we extend the original TODIM model to the 2TLPFNs environment to build the 2TLPFNs TODIM model, our proposed method, which is more reasonable and scientific in considering the subjectivity of DM’s behaviors and the dominance of each alternative over others. Finally, a numerical example for the safety assessment of a construction project is proposed to illustrate the new method, and some comparisons are also conducted to further illustrate the advantages of the new method.

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