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, File 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 References: Zadeh L.A.: Fuzzy sets. Information and Control 8, 1965, pp. 338-353. Bandemer H., Gottwald S.; Fuzzy Sets, Fuzzy Logic, Fuzzy Methods with Applications. John Wiley & Sons. 1995. Hajek P.: Metamathematics of fuzzy logic.l998 Kacprzyk J.: Fuzzy Sets in System Analysis. PWN, Warsaw,1986 (in Polish). Dubois D., Prade H.: Fuzzy Sets and Systems: Theory and Applications. Academic Press, New York 1980. Ross T. J.; Fuzzy Logic with Engineering Applications. McGraw Hill Inc., 1995 Malinowski G.: Multiple-valued logics. PWN, Warsaw, 1990 (in Polish). Atanassov K.: Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20, 1986, pp. 87-96. Atanassov K.: Intuitionistic fuzzy sets, Theory and Applications. Springer Verlag 1999. Demirici M.: Axiomatic theory of intuitionistic fuzzy sets. Fuzzy Sets and Systems 1 I 0, 2000 , pp.253-266. Szmidt E., Kacprzyk J.: A Fuzzy Set Corresponding to an Intuitionistic Fuzzy Set. Int. Journal of Uncertainty and Knowledge Based Systems, Vol.6, No.5, 1998 pp.427-435. Szmidt E., Kacprzyk J.: Group Decision Making Under Intuitionistic Fuzzy Preference Relations. Proc. 7th IPMU'98, Paris, July 6-10, 2000, pp. 172-178. Szmidt E., Kacprzyk J.: On Measures on Consensus (Under Intuitionistic Fuzzy Relations. Proc.8th Int. Conf. IPMU'2000, Madrid, July 3-7, 2000, pp. 641-647 Szmidt E.: Applications of Intuitionistic Fuzzy sets in Decision Making. Dissertation (D.Sc.), TUSofia. 2000. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.