| Title of paper:
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A concept of similarity for intuitionistic fuzzy sets and its use in the aggregation of experts' testimonies
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| Author(s):
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| Eulalia Szmidt
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| Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
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| szmidt@ibspan.waw.pl
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| Janusz Kacprzyk
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| Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
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| kacprzyk@ibspan.waw.pl
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| Presented at:
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Seventh International Conference on IFSs, Sofia, 23-24 August 2003
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 9 (2003) Number 3, pages 51-59
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| Download:
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 PDF (133 Kb, File info)
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| Abstract:
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In this article we apply a new measure of similarity to analyse the extent of agreement in a group of experts. The proposed measure takes into account not only a pure distance between intuitionistic fuzzy preferences but also examines if the compared preferences are more similar or more dissimilar. The agreement of a whole group is assessed via an aggregation of individual testimonies expressed by intuitionistic fuzzy preference relations.
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| Keywords:
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Intuitionistic fuzzy sets, Distances, Similarity measure, Group agreement
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| References:
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- Atanassov K. (1999), Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Verlag.
- Cross V. and Sudkamp T. (2002) Similarity and Compatibility in Fuzzy Set Theory. Physica-Verlag.
- L. Dengfeng and C. Chuntian (2002) New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions. Pattern Recognition Letters, Vol. 23, pp. 221-225.
- Kacprzyk J. and Szmidt E. (2000) On Measures on Consensus Under Intuitionistic Fuzzy Relations. 8th Int. Conf. IPMU, Madrid, July 3-7, 2000, 641-647.
- Szmidt E. (2000) Applications of Intuitionistic Fuzzy Sets in Decision Making. (D.Sc. dissertation) Techn. Univ., Sofia, 2000.
- Szmidt E. and Baldwin J. (2003) New similarity measure for intuitionistic fuzzy set theory and mass assignment theory. Proc. of the 7-th Int. Conf. on IFSs. Sofia, 2003.
- Szmidt E. and Kacprzyk J. (1996a) Intuitionistic fuzzy sets in group decision making, Notes on IFS, 2, pp. 15-32.
- Szmidt E. and Kacprzyk J. (1996c) Remarks on some applications of intuitionistic fuzzy sets in decision making, Notes on IFS, Vol.2, No.3, pp. 22-31.
- Szmidt E. and Kacprzyk J. (1997) On measuring distances between intuitionistic fuzzy sets, Notes on IFS, Vol.3, No.4, pp.1 - 13.
- Szmidt E. and Kacprzyk J. (1998a) Group Decision Making under Intuitionistic Fuzzy Preference Relations. 7th Int. Conf. IPMU'98 (Paris, La Sorbonne, July 6-10), pp. 172-178.
- Szmidt E. and Kacprzyk J. (1998b) Applications of intuitionistic fuzzy sets in decision making. 8th Congr. EUSFLAT'99 (Pamplona, September 8-10), pp. 150{158.
- Szmidt E. and Kacprzyk J. (2000) Distances between intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol.114, No.3, pp.505 - 518.
- Szmidt E. and Kacprzyk J. (2001) Distance from Consensus Under Intuitionistic Fuzzy Preferences. Proc. EUROFUSE Workshop on Preference Modelling and Applications, Granada, April 25-27, pp. 73-78.
- Szmidt E., Kacprzyk J. (2001) Entropy for intuitionistic fuzzy sets. Fuzzy Sets and Systems, vol. 118, No. 3, pp. 467-477.
- Szmidt E. and Kacprzyk J. (2001) Analysis of Consensus under Intuitionistic Fuzzy Preferences. Proc. Int. Conf. in Fuzzy Logic and Technology. De Montfort Univ. Leicester, UK, September 5-7, pp. 79-82.
- Szmidt E. and Kacprzyk J. (2002) Analysis of Agreement in a Group of Experts via Distances Between Intuitionistic Fuzzy Preferences. Proc. 9th Int. Conf. IPMU 2002, Annecy, France, July 1-5, pp. 1859-1865.
- Tversky A. (1977) Features of similarity. Psychol. Rev. Vol. 84, pp. 327-352.
- L.A. Zadeh (1965) Fuzzy sets. Information and Control, 8, 338-353.
- Zadeh, L.A. (1983). A computational approach to fuzzy quantifiers in natural languages. Comput. Math. Appl., Vol. 9, No. 1, pp. 149-184.
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