Issue:A note on new distances between intuitionistic fuzzy sets

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Title of paper: A note on new distances between intuitionistic fuzzy sets
Author(s):
Peter Vassilev
Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria
peter.vassilevAt sign.pnggmail.com
Presented at: 11th International Workshop on Intuitionistic Fuzzy Sets, Banská Bystrica, Slovakia, 30 Oct. 2015
Published in: "Notes on IFS", Volume 21, 2015, Number 5, pages 11–15
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Abstract: In the present paper new distances between intuitionistic fuzzy sets are proposed. If the sets are fuzzy they agree with the well known distance defined over fuzzy sets.
Keywords: Intuitionistic fuzzy sets, Distance, Hesitancy, Degree of definiteness.
AMS Classification: 03E72
References:
  1. Atanassov, K. T. (2012) On Intuitionistic Fuzzy Sets Theory. Springer, Berlin.
  2. Atanassov, K., P. Vassilev & R. Tsvetkov (2013) Intuitionistic Fuzzy Sets, Measures and Integrals. “Prof. M. Drinov” Acad. Publ. House, Sofia
  3. Szmidt, E. & J. Kacprzyk (1997) On measuring distances between intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 3(4), 1–13.
  4. Szmidt, E. (2014) Distances and Similarities in Intuitionistic Fuzzy Sets. Springer, Heidelberg.
  5. Abramowitz, M. & I. A. Stegun (Eds.) (1972) Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York, Dover Publications.
  6. Zadeh, L. A. (1965) Fuzzy sets. Information and Control, 8, 338–353.
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