Akademik Veri Yönetim Sistemi
(International Conference Series on Mathematical Advances and Applications 2025 - ICOMAA 2025, İstanbul, Türkiye, 7 Mayıs - 09 Temmuz 2025, ss.1-6, (Tam Metin Bildiri)
The hesitant fuzzy set has been widely applied in practical decision-making processes in recent years. It describes the thoughts of experts better because of a better tolerance. However, its applications have a significant defect—the severe loss of information. To improve the hesitant fuzzy set, the probabilistic hesitant fuzzy set has been put forward. It adds probability to the hesitant fuzzy set and retains more information than the hesitant fuzzy set. By utilizing the hesitant fuzzy elements to represent the fuzziness of the objects and the probabilistic hesitant thoughts of the experts, this paper introduces the negative exponential function into the prospect theory to portray the psychological behaviors of the experts, which transforms the probabilistic hesitant fuzzy decision matrix into the probabilistic hesitant fuzzy prospect decision matrix according to the expectation-levels. Then, this paper applies the energy and entropy in thermodynamics to consider the quantity and quality of the decision values and defines the thermodynamic decision-making parameters based on the probabilistic hesitant fuzzy prospect decision matrix.