Title of paper:

Probability measures for intuitionistic fuzzy sets

Author(s):

Eulalia Szmidt

Systems Research lnstitute  Polish Academy of Sciences, ul. Newelska 6, 01447 Warsaw, Poland

szmidtibspan.waw.pl

Janusz Kacprzyk

Systems Research lnstitute  Polish Academy of Sciences, ul. Newelska 6, 01447 Warsaw, Poland

kacprzykibspan.waw.pl


Presented at:

Third International Conference on IFSs, Sofia, 1617 October 1999

Published in:

"Notes on IFS", Volume 5 (1999) Number 3, pages 19—28

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Abstract:

A concept of a probability measure for intuitionistic fuzzy sets is introduced. The solution is given by an interval and is consistent with the probability measure proposed by Zadeh for fuzzy sets.
The presented considerations seem to be crucial in decision making where imperfection of information is a rule. There are many aspects of information imperfection and among them uncertainty (randomness) and imprecision (fuzziness) are the most important. In this article we assume that imprecision is modelled by intuitionistic fuzzy sets and uncertainty is modelled by probability theory. Both types of information imperfection are discussed and expressed by common formulas

Keywords:

fuzzy set, intuitionistic fuzzy set, fuzzy event, intuitionistic fuzzy event, fuzzy probability, intuitionistic fuzzy probability

References:

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