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Issue:Concept of distances and entropy for intuitionistic fuzzy sets and their applications in group decision making

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Title of paper: Concept of distances and entropy for intuitionistic fuzzy sets and their applications in group decision making
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: 6th ICIFS, Varna, 13—14 Sept 2002
Published in: Conference proceedings, "Notes on IFS", Volume 8 (2002) Number 3, pages 11—25
Download:  PDF (1008  Kb, File info)
Abstract: In this article we propose to analyse the extent of agreement in a group of experts employing intuitionistic fuzzy sets. Concept of distances between intuitionistic fuzzy preferences is our main tool to evaluate how far the group is from full agreement (consensus in a traditional sense). Next, we propose to evaluate if it is possible for a considered group to come closer to the state of consensus. Entropy is the measure which makes it possible to say how strong are the preferences of experts.
Keywords: Group agreement (distance from consensus), Intuitionistic fuzzy sets, Intuitionistic fuzzy preference relation, Intuitionistic fuzzy entropy
References:
  1. Atanassov K. (1999), Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Verlag.
  2. De Luca, A. and Termini, S. (1972). A definition of a non-probabilistic entropy in the setting of fuzzy sets theory. Inform. And Control, 20, pp. 301-312.
  3. 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.
  4. Kosko, B. (1997). Fuzzy Engineering. Prentice-Hall.
  5. Szmidt E. (2000): Applications of Intuitionistic Fuzzy Sets in Decision Making. (D.Sc. dissertation) Techn. Univ., Sofia, 2000.
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  12. Szmidt E. and Kacprzyk J. (1999). Probability of Intuitionistic Fuzzy Events and their Applications in Decision Making. Proc. of EUSFLAT-ESTYLF Conf. September 22-25, 1999. Palma de Mallorca, Spain, pp. 457-460.
  13. Szmidt E. and Kacprzyk J. (2000) Distances between intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol.114, No.3, pp.505-518.
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  15. Szmidt E., Kacprzyk J. (2001) Entropy for intuitionistic fuzzy sets. Fuzzy Sets and Systems, vol. 118, No. 3, pp. 467{477.
  16. 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.
  17. 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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