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Issue:Handling uncertainty in natural sentences via intuitionistic fuzzy sets

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Title of paper: Handling uncertainty in natural sentences via intuitionistic fuzzy sets
Author(s):
Adam Niewiadomski
Institute of Computer Sciences, Technical University of Lodz, ul. Sterlinga I 6118,90-217 , Lodz. Poland
adamniew@ics.p.lodz.pl
Eulalia Szmidt
Systems Research lnstitute - Polish Academy of Sciences, ul. Newelska 6, OL-447 Warsaw, Poland
szmidt@ibspan.waw.pl
Published in: "Notes on IFS", Volume 7 (2001) Number 1, pages 22-29
Download:  PDF (549  Kb, Info)
Abstract: Natural language allows us to maintain the uncertainties we may in our knowledge and does not require us to impose an unjustified precision. Fuzzy sets and fuzzy logic provide (in contrast to classical logic) an effective conceptual framework for dealing with uncertainty and imprecision present in language sentences. Intuitionistic fuzzy sets seem even to be more important in the area due to the fact that they are generalisation of fuzzy sets with another degree of freedom letting us better model uncertainty. In this paper we show a new application (examples) of intuitionistic fuzzy sets - their ability to handling uncertainty in natural language sentences with imprecise predicates and modal operators (necessity "□" and possibility "◊" which have no counterparts in the ordinary fuzzy set theory).
Keywords: Intuitionistic fuzzy sets, Fuzzy sets, Natural language, Necessity, Possibility
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