A generalized TODIM-ELECTRE II method based on linguistic Z-numbers and Dempster–Shafer evidence theory with unknown weight information

Abstract How to effectively reflect the randomness and reliability of decision information under uncertain circumstances, thereby improve accuracy decision-making in complex scenarios, has become a crucial topic field decision-making. In this article, loss –aversion behavior decision-makers non-compensation between attributes are considered. Furthermore, novel generalized TODIM-ELECTRE II method linguistic Z-numbers environment is proposed based on Dempster–Shafer evidence theory for multi-criteria group problems with unknown weight information. Firstly, evaluation its provided simultaneously by employing Z-numbers, which have ability capture arbitrariness vagueness natural verbal Then, used derive basic probability assignments theory, consideration both inner outer reliability, article employed Dempster’s rule fuse evaluations. Subsequently, conceived environment, considers compensatory effects bounded rationality decision-makers. addition, criteria weights obtained applying Deng entropy deal uncertainty. Finally, an example terminal wastewater solidification technology selection offered prove framework’s availability robustness. The predominance also verified comparative analysis several existing methods.