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AN OVERVIEW OF DISTANCE AND SIMILARITY MEASURES OF INTUITIONISTIC FUZZY SETS
Abstract
The Intuitionistic Fuzzy Sets (IFSs), originated by Atanassov [1], is a useful tool to deal with vagueness and ambiguity. In the short time since their first appearance, many different distance and similarity measures of IFSs have been proposed, but they are scattered through the literature. In this paper, we give a comprehensive overview of distance and similarity measures of IFSs. Based on the weighted Hamming distance, the weighted Euclidean distance, and the weighted Hausdorff distance, respectively, we define some continuous distance and similarity measures for IFSs. We also utilize geometric distance model to define some continuous distance and similarity measures for IFSs, which are the various combinations and generalizations of the weighted Hamming distance, the weighted Euclidean distance and the weighted Hausdorff distance. Then we extend these distance and similarity measures for Interval-Valued Intuitionistic Fuzzy Sets (IVIFSs).
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Cites
Atanassov, K. T. (1986) · Fuzzy Sets and Systems · doi:10.1016/s0165-0114(86)80034-3 · Cited by 16,465
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Self-citationOn distance and correlation measures of hesitant fuzzy information
Xu, Z., & Xia, M. (2011) · International Journal of Intelligent Systems · doi:10.1002/int.20474 · Cited by 485
Self-citationBoran, F. E., & Akay, D. (2014) · Information Sciences · doi:10.1016/j.ins.2013.08.013 · Cited by 289
PROJECTION MODELS FOR INTUITIONISTIC FUZZY MULTIPLE ATTRIBUTE DECISION MAKING
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Metadata
- Authors
- XU, Z. S., & CHEN, J.
- Venue
- International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 2008-08
- Volume
- 16
- Issue
- 04
- Pages
- 529-555
- ISSN
- 0218-4885 (ISSN-L)
- 1793-6411
- OpenAlex
- W2099469179
- Cited by
- 365
- References
- 1
- FWCI
- 14.86
- Type
- journal article
- Language
- en
- Open access
- closed
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- XU, Z. S., & CHEN, J. (2008). AN OVERVIEW OF DISTANCE AND SIMILARITY MEASURES OF INTUITIONISTIC FUZZY SETS. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. https://doi.org/10.1142/s0218488508005406
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