Paper Info
Title
Belief Interval Interpretation Of Probabilistic Linguistic Term Sets And A Visual Method For Solving The Preference Problem In Multicriteria Group Decision Making
Abstract
For the application of probabilistic linguistic term sets (PLTSs) in multicriteria group decision making (MCGDM), this paper aims to develop an approach to solve the preference problem. First, a belief interval interpretation of PLTSs is presented, which makes it possible to represent the mathematical operations on PLTSs as the operations on belief intervals. This can reduce the uncertainty degree of information caused by the differentiated knowledge and cognitions of decision makers. Then, two methods of belief interval measure are proposed. One is the distance measure, which is utilized to obtain the criteria weights of each decision maker, so as to recognize the preferences for criteria. The other is the probability degree, which is used to get the partial order relation for alternatives of each decision maker, and to recognize the preferences for alternatives. Next, employing Dempster's rule of combination and graph theory, a visual algorithm is constructed to solve the MCGDM preference problem in the application of PLTSs. Finally, an illustrative example for the selection of emergency materials deployment scheme and the comparative analyses are shown to demonstrate the effectiveness of the proposed method.
Year
DOI
Venue
2021
10.1002/int.22463
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
Keywords
DocType
Volume
belief interval, multicriteria group decision making, preference problem, probabilistic linguistic term sets, visual algorithm
Journal
36
Issue
ISSN
Citations 
8
0884-8173
0
PageRank 
References 
Authors
0.34
0
6
Name
Order
Citations
PageRank
Yuanxiang Dong102.37
Xiaoting Cheng200.68
Zeshui Xu314310599.02
Weijie Chen4203.42
Hongbo Shi524131.11
Ke Gong6745.10