TY - JOUR ID - 21688 TI - A multi-attribute decision-making method based on the third-generation prospect theory and grey correlation degree JO - Scientia Iranica JA - SCI LA - en SN - 1026-3098 AU - Liu, P. AU - Liu, X. AD - School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, Shandong, China Y1 - 2021 PY - 2021 VL - 28 IS - 2 SP - 1001 EP - 1013 KW - belief structure KW - third generation prospect theory KW - grey correlation analysis KW - Multi-attribute decision making DO - 10.24200/sci.2019.52924.2951 N2 - Considering the uncertainty of the natural state and the convenience of calculation, based on the third generation prospect theory (3-PT) and grey correlation analysis (GRA), we propose a method to solve the multi-attribute decision-making (MADM) problems where the attributes are described by the linguistic intuitionistic fuzzy numbers (LIFNs). Firstly, we transform the LIFNs into the belief structure that includes identity value and belief degree. Then, the evaluation information represented by belief structure is calculated by using the 3-PT, and the prospect matrix is gotten. The alternatives are ranked by the GRA. Finally, we use the proposed method to calculate an example and compare it with other methods to prove its effectiveness and superiority. UR - https://scientiairanica.sharif.edu/article_21688.html L1 - https://scientiairanica.sharif.edu/article_21688_2b6ef09589d4c003bf7164e9430b90aa.pdf ER -