Extended TOPSIS method based on the entropy measure and probabilistic hesitant fuzzy information and their application in decision support system

Article type: Research Article

Authors: Naeem, Muhammad^a | Khan, Muhammad Ali^{b; *} | Abdullah, Saleem^b | Qiyas, Muhammad^b | Khan, Saifullah^b

Affiliations: [a] Deanship of Combined First Year, Umm Al-Qura University Makkah, KSA | [b] Department of Mathematics Abdul Wali Khan University, Mardan, Pakistan

Correspondence: [*] Corresponding author. Muhammad Ali Khan, Department of Mathematics Abdul Wali Khan University, Mardan, Pakistan. E-mail: aliwazir.edu@gmail.com.

Abstract: Probabilistic hesitant fuzzy Set (PHFs) is the most powerful and comprehensive idea to support more complexity than developed fuzzy set (FS) frameworks. In this paper a novel and improved TOPSIS-based method for multi-criteria group decision making (MCGDM) is explained through the probabilistic hesitant fuzzy environment, in which the weights of both experts and criteria are completely unknown. Firstly, we discuss the concept of PHFs, score functions and the basic operating laws of PHFs. In fact, to compute the unknown weight information, the generalized distance measure for PHFs was defined based on the Probabilistic hesitant fuzzy entropy measure. Second, MCGDM will be presented with the PHF information-based decision-making process.

Keywords: Probabilistic hesitant fuzzy Set, extended TOPSIS method, application in decision making

DOI: 10.3233/JIFS-202700

Journal: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 6, pp. 11479-11490, 2021