Consensus building with a group of decision makers under the hesitant probabilistic fuzzy environment
Zeshui Xu and
Wei Zhou (zw453@163.com)
Additional contact information
Zeshui Xu: Sichuan University
Wei Zhou: Yunnan University of Finance and Economics
Fuzzy Optimization and Decision Making, 2017, vol. 16, issue 4, No 6, 503 pages
Abstract:
Abstract As a generalized fuzzy number, the hesitant fuzzy element (HFE) has been receiving increased attention and has recently become a popular topic. However, we find that the occurring probabilities of the possible values in the HFE are equal, which is obviously impractical. Consequently, in this paper, we propose a hesitant fuzzy number with probabilities, called the hesitant probabilistic fuzzy number, and construct its score function, deviation function, comparison laws, and its basic operations. It is well known that in the context of a group of decision makers (DMs), one of the basic approaches to built consensus is to aggregate individual evaluations or individual priorities. Thus, to use the hesitant fuzzy numbers for consensus building with a group of DMs, we further propose a method called maximizing score deviation method to obtain the DMs’ weights under the HPFE environment, based on which two extended and four new ordered weighted operators are provided to fuse the HPFE information and build the consensus of the DMs. We also analyze the differences among these ordered weighted operators and provide their application scopes. Finally, a practical case is provided to demonstrate consensus building with a group of DMs under the HPFE environment using the proposed approaches.
Keywords: Hesitant probabilistic fuzzy number (HPFE); Maximizing score deviation (MSD) method; Ordered weighted operator; Consensus building; Group decision making (search for similar items in EconPapers)
Date: 2017
References: Add references at CitEc
Citations: View citations in EconPapers (10)
Downloads: (external link)
http://link.springer.com/10.1007/s10700-016-9257-5 Abstract (text/html)
Access to the full text of the articles in this series is restricted.
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:spr:fuzodm:v:16:y:2017:i:4:d:10.1007_s10700-016-9257-5
Ordering information: This journal article can be ordered from
http://www.springer.com/journal/10700
DOI: 10.1007/s10700-016-9257-5
Access Statistics for this article
Fuzzy Optimization and Decision Making is currently edited by Shu-Cherng Fang and Boading Liu
More articles in Fuzzy Optimization and Decision Making from Springer
Bibliographic data for series maintained by Sonal Shukla (sonal.shukla@springer.com) and Springer Nature Abstracting and Indexing (indexing@springernature.com).