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Issue:A note on distance and similarity measures between intuitionistic fuzzy sets

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Title of paper: A note on distance and similarity measures between intuitionistic fuzzy sets
Author(s):
Peter Vassilev
IBPhBME – Bulgarian Academy of Science, 105 Acad. G. Bonchev Str, 1113 Sofia, Bulgaria
peter.vassilev@gmail.com
Presented at: 15th ICIFS, Burgas, 11-12 May 2011
Published in: Conference proceedings, "Notes on IFS", Volume 17 (2011) Number 2, pages 68—74
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Abstract: In the present paper some of the proposed in the literature distances and pseudometrics between intuitionistic fuzzy sets are considered and a more general approach for constructing new distances, with their help, is proposed. As a result a way of generating new similarity measures is given.
Keywords: Intuitionistic fuzzy sets, Distance, Metric, Pseudometric, Similarity measure.
AMS Classification: 03E72
References:
  1. Atanassov, K. Intuitionistic Fuzzy Sets, Springer Physica-Verlag, Heidelberg, 1999.
  2. Wang, X. Distance measure between intuitionistic fuzzy sets. Pattern Recognition Letters 26 (2005) 2063–2069.
  3. Szmidt, E., J. Kacprzyk. Distances between intuitionistic fuzzy sets. Fuzzy Sets Systems Vol. 114, 2000, No. 3, 505–518.
  4. Ye, J. Cosine similarity measures for intuitionistic fuzzy sets and their applications. Mathematical and Computer Modelling, Vol. 53, 2011, 91–97.
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