Title | ||
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New distance measures on hesitant fuzzy sets based on the cardinality theory and their application in pattern recognition. |
Abstract | ||
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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 |
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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 Zhang | 1 | 15 | 7.07 |
Shuyan Chen | 2 | 11 | 0.93 |
Jianbo Li | 3 | 46 | 28.87 |
Weiwei Huang | 4 | 2 | 0.36 |