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Issue:Probability measures for intuitionistic fuzzy sets

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http://ifigenia.org/wiki/issue:nifs/05/3/19-28
Title of paper: Probability measures for intuitionistic fuzzy sets
Author(s):
Eulalia Szmidt
Systems Research lnstitute - Polish Academy of Sciences, ul. Newelska 6, OL-447 Warsaw, Poland
szmidt@ibspan.waw.pl
Janusz Kacprzyk
Systems Research lnstitute - Polish Academy of Sciences, ul. Newelska 6, OL-447 Warsaw, Poland
kacprzyk@ibspan.waw.pl
Presented at: Third International Conference on IFSs, Sofia, 16-17 October 1999
Published in: "Notes on IFS", Volume 5 (1999) Number 3, pages 6—10
Download:  PDF (179  Kb, File info)
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 imprecission is modelled by intuitionistic fuzzy sets and uncerainty 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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