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Issue:A concept of similarity for intuitionistic fuzzy sets and its use in the aggregation of experts' testimonies

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http://ifigenia.org/wiki/issue:nifs/9/3/51-59
Title of paper: A concept of similarity for intuitionistic fuzzy sets and its use in the aggregation of experts' testimonies
Author(s):
Eulalia Szmidt
Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
szmidt@ibspan.waw.pl
Janusz Kacprzyk
Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
kacprzyk@ibspan.waw.pl
Presented at: Seventh International Conference on IFSs, Sofia, 23-24 August 2003
Published in: "Notes on IFS", Volume 9 (2003) Number 3, pages 51-59
Download:  PDF (133  Kb, File info)
Abstract: 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.
Keywords: Intuitionistic fuzzy sets, Distances, Similarity measure, Group agreement
References:
  1. Atanassov K. (1999), Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Verlag.
  2. Cross V. and Sudkamp T. (2002) Similarity and Compatibility in Fuzzy Set Theory. Physica-Verlag.
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  4. 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.
  5. Szmidt E. (2000) Applications of Intuitionistic Fuzzy Sets in Decision Making. (D.Sc. dissertation) Techn. Univ., Sofia, 2000.
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  16. 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.
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