MABAC method based on cumulative prospect theory for multiple attribute group decision making with 2-tuple linguistic Pythagorean fuzzy information

Abstract With the progress of the times, decision-making problems have become increasingly complex. Under such circumstances, the problems of multiple attribute decision making have emerged. Based on the original MABAC method and its related applications, we propose to apply the MABAC method combined Cumulative Prospect Theory (CPT) with2-tuple linguistic Pythagorean fuzzy numbers (2TLPFNs). In the first place, we show a lot of definitions of Pythagorean fuzzy sets, 2-tuple linguistic Pythagorean fuzzy sets, the 2TLPFWA and 2TLPFWG operators. Next, illustrating calculation formulas according to the score function, the accuracy function and the basic operations of two 2TLPFNs. Afterwards, we simply explain the original MABAC method and the MABAC method with 2TLPFNs (2TLPFN-MABAC) based on the research of other scholars. Besides, we completely give the actual operations of the new method about MABAC method based on CPT for MAGDM with 2TLPFSs (2TLPFN-CPT-MABAC). In the end, by a case study of the assessment of houses, according to the proposed new method and making some comparative analyses among the new method and other methods. In a word, all above are for verifying the effectiveness. In view of the new method with the advantages, MADM problems can be better solved and the new method can be applied to more fields.