Journal
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Volume 29, Issue 2, Pages 731-745Publisher
IOS PRESS
DOI: 10.3233/IFS-141474
Keywords
Dual hesitant fuzzy set (DHFS); hesitant fuzzy set (HFS); distance measures; similarity measures; pattern recognition
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Funding
- National Natural Science Foundation of China [61273209]
- Central University Basic Scientific Research Business Expenses Project [skgt201501]
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Dual hesitant fuzzy set (DHFS) is a very comprehensive set which includes fuzzy set, intuition fuzzy set and hesitant fuzzy set as its special cases. Distance and similarity measures play great roles in many areas, such as decision making, pattern recognition, etc. In this paper, we introduce some distance and similarity measures for DHFSs based on Hamming distance, Euclidean distance and Hausdorff distance. Two examples are used to illustrate these distance and similarity measures and their applications in pattern recognition. Finally, the comparisons among DHFSs and the corresponding IVIFSs and HFSs are made in detail by utilizing the developed distance measures.
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