No abstract

No abstract

Due to the timeliness of emergency response and much unknown information in emergency situations, this paper proposes a method to deal with the emergency decision making, which can comprehensively reflect the emergency decision making process. By utilizing the hesitant fuzzy elements to represent the fuzziness of the objects and the hesitant thought of the experts, this paper introduces the negative exponential function into the prospect theory so as to portray the psychological behaviors of the experts, which transforms the hesitant fuzzy decision matrix into the hesitant fuzzy prospect decision matrix (HFPDM) according to the expectation-levels. Then, this paper applies the energy and the entropy in thermodynamics to take the quantity and the quality of the decision values into account, and defines the thermodynamic decision making parameters based on the HFPDM. Accordingly, a whole procedure for emergency decision making is conducted. What is more, some experiments are designed to demonstrate and improve the validation of the emergency decision making procedure. Last but not the least, this paper makes a case study about the emergency decision making in the firing and exploding at Port Group in Tianjin Binhai New Area, which manifests the effectiveness and practicability of the proposed method.

No abstract

The probabilistic hesitant fuzzy set (PHFS) associates the probability with the hesitant fuzzy set (HFS), which has been proposed to improve the granularity of the HFS and can remain more information, is significant to solve the multicriteria group decision‐making (MCGDM) problems when the decision makers fail to provide their preferences completely. To express the probability information existing in the hesitancy more conveniently, we propose a generalized form of P‐HFS named interval‐valued probabilistic hesitant fuzzy set (IVPHFS). In addition, we define some basic operation laws and aggregation operators of IVPHFSs. Based on which, we provide an efficient approach to deal with the practical MCGDM problems by IVPHFSs aggregation operators under the interval‐valued probabilistic hesitant fuzzy environment. Last but not least, we apply the proposed approach to the research of the Arctic geopolitical risk evaluation. The method based on the score function of the probabilistic dual hesitant fuzzy set is also introduced for comparison. The comparing results demonstrate that our approach is more reasonable and logical.

No abstract

No abstract

No abstract