Paper Info
Title
Operations and integrations of probabilistic hesitant fuzzy information in decision making
Abstract
Propose the improved P-HFS and P-HFE.Develop some aggregation operators for the improved P-HFEs.Extend the improved P-HFEs to their continuous counterparts.Give the operations and distance measures for the continuous counterparts.Verify our results by a case study concerning the automobile safety evaluations. In recent years, the hesitant fuzzy set (HFS) has been widely applied in practical decision making processes. As a matter of fact, it indeed describes the thoughts of experts better because of a better tolerance. But there is a big defect in its applicationsthe serious loss of information. To improve the HFS, the probabilistic hesitant fuzzy set (P-HFS) has been put forward. It adds the probability to the HFS and can retain more information than the HFS. However, the P-HFS is still not perfect. In this paper, the definitions of the P-HFS and the probabilistic hesitant fuzzy element (P-HFE) are improved at first. After that, the properties and operations of the improved P-HFEs are studied, and some corresponding aggregation operators are given. Furthermore, the concept of P-HFEs with the continuous form is proposed, some operations and distance measures for them are given. Finally, the integrations of the improved P-HFEs are used to deal with a practical case concerning the automotive industry safety evaluation.
Year
DOI
Venue
2017
10.1016/j.inffus.2017.02.001
Information Fusion
Keywords
Field
DocType
Probabilistic hesitant fuzzy set,Hesitant fuzzy information,Integration,Continuous form,Multiple attribute decision making
Fuzzy set operations,Fuzzy logic,Fuzzy set,Operator (computer programming),Artificial intelligence,Probabilistic logic,Machine learning,Mathematics,Automotive industry,Distance measures
Journal
Volume
Issue
ISSN
38
C
1566-2535
Citations 
PageRank 
References 
27
0.73
10
Authors
3
Name
Order
Citations
PageRank
Shen Zhang1301.77
Zeshui Xu214310599.02
Yue He310516.62