Title
New distance measures on hesitant fuzzy sets based on the cardinality theory and their application in pattern recognition.
Abstract
As a generalization of fuzzy set, hesitant fuzzy set (HFS) permits the membership of an element to a set having a set of possible values. Distance is one of important tools in measuring the relationship between two HFSs. Based on the cardinality theory, some novel distances which take the cardinal numbers of HFSs into account have been introduced using the concept of “multi-sets.” The main advantage of the distance measures is that they can more objectively and universally measure the relationship between HFSs than the existing methods. Finally, the performance of the proposed distance measures is illustrated through two pattern recognition examples in port enterprise management and transportation infrastructure construction.
Year
DOI
Venue
2018
10.1007/s00500-016-2411-8
Soft Comput.
Keywords
Field
DocType
Hesitant fuzzy sets, Hesitant fuzzy elements, Cardinality theory, Distance measure, Weighted average operator, Pattern recognition
Data mining,Fuzzy classification,Fuzzy set operations,Computer science,Cardinality,Theoretical computer science,Fuzzy set,Artificial intelligence,Fuzzy number,Pattern recognition,Cardinal number,Fuzzy measure theory,Type-2 fuzzy sets and systems
Journal
Volume
Issue
ISSN
22
4
1433-7479
Citations 
PageRank 
References 
2
0.36
10
Authors
4
Name
Order
Citations
PageRank
Fangwei Zhang1157.07
Shuyan Chen2110.93
Jianbo Li34628.87
Weiwei Huang420.36