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Issue:On the negations over intuitionistic fuzzy sets. Part 1

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Title of paper: On the negations over intuitionistic fuzzy sets. Part 1
Author(s):
Krassimir Atanassov
CLBME - Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria
krat@bas.bg
Dimitar Dimitrov
CLBME - Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria
mitex@gbg.bg
Published in: Annual of "Informatics" Section, Union of Scientists in Bulgaria, Volume 1, 2008, pages 49-58
Download:  PDF (124  Kb, Info)
Abstract: The first 99 implications and the first 17 negations over intuitionistic fuzzy sets, introduced by the moment, are collected and some of their properties are studied.


References:
  1. Atanassov K., Intuitionistic Fuzzy Sets, Springer Physica-Verlag, Berlin, 1999.
  2. Atanassov, K. On the intuitionistic fuzzy implications and negations. In:- Intelligent Techniques and Tools for Novel System Architectures, Springer, Series: Studies in Computational Intelligence, 2008 (in press).
  3. Mendelson, E., Introduction to mathematical logic, Princeton, New Jersey, 1964.
Citations:
  1. Remark on operation "subtraction" over intuitionistic fuzzy sets, K. Atanassov, "Notes on IFS", Volume 15 (2008) Number 3, pages 20—24
  2. On intuitionistic fuzzy negations and intuitionistic fuzzy extended modal operators. Part 1, K. Atanassov, C. Hinde, 12th ICIFS, Sofia, 17-18 May 2008, In:- "Notes on IFS", Volume 14 (2008) Number 1, pages 7—11

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