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Issue:Intuitionistic fuzzy set entropies: Difference between revisions

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The concepts of the fuzzy intuitionistic set entropy first proposed in [4] and [5], and then thoroughly discussed in [7] are now complemented with an idea of the intuitionistic entropy which takes into consideration an intuitionistic set description parameter - hesitancy margin.
The concepts of the fuzzy intuitionistic set entropy first proposed in [4] and [5], and then thoroughly discussed in [7] are now complemented with an idea of the intuitionistic entropy which takes into consideration an intuitionistic set description parameter - hesitancy margin.

Revision as of 09:50, 25 April 2009

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Title of paper: Intuitionistic fuzzy set entropies
Author(s):
Tadeusz Gerstenkorn
Lodz University, Faculty of Mathematics, ul. Banacha 22, PL 90-238 Lodz, Poland
tadger@math.uni.lodz.pl
Jacek Mańko
Lodz University, Faculty of Mathematics, ul. Banacha 22, PL 90-238 Lodz, Poland
Published in: "Notes on IFS", Volume 7 (2001), Number 1, pages 30-36
Download:  PDF (166  Kb, File info)
Abstract: The concepts of the fuzzy intuitionistic set entropy first proposed in [4] and [5], and then thoroughly discussed in [7] are now complemented with an idea of the intuitionistic entropy which takes into consideration an intuitionistic set description parameter - hesitancy margin.
Keywords: fuzzy intuitionistic set, hesitancy margin, entropy, valuation, fuzzy set

entropy

References:
  1. K. Atanassov, Intuitionistic fuzzy sets, VII ITKR's Scientific Session, Sofia, 1983.
  2. K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 1986, p. 87-96.
  3. K. Atanassov, Remark on intuitionistic fuzzy expert system, BUSEFAL 59 (1994), p. 71-76.
  4. K. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, Springer Verlag, 1999.
  5. T. Gerstenkorn, J. Mańko, Correlation of intuitionistic fuzzy sets, Fuzzy Sets and Systems 44 (1991), 39-43.
  6. T. Gerstenkorn, J. Mańko, Probability of fuzzy intuitionistic sets, BUSEFAL 45 (1991), 128-136.
  7. A. de Luca, S. Termini, A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory, Inform. Control 20, 1972, p. 301-312.
  8. E. Szmidt, J. Kacprzyk, Intuitionistic fuzzy events and their probabilities, "Notes on Intuitionistic Fuzzy Sets", Volume 4 (1998) Number 4, p. 68-72.
  9. R. Yager, A note on probabilities of fuzzy events, Inform. Sci. 18 (1979), 113-129.
  10. L. A. Zadeh, Fuzzy Sets, Inform. Control 8, 1965, p. 338-353.
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