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

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# Cross V. and Sudkamp T. (2002) Similarity and Compatibility in Fuzzy Set Theory. Physica-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.
# 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.
# 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. (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 Baldwin J. (2003) [[Issue:New similarity measure for intuitionistic fuzzy set theory and mass assignment theory|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. (1996a) [[Issue:Intuitionistic fuzzy sets in group decision making|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. (1996c) [[Issue:Remarks on some applications of intuitionistic fuzzy sets in decision making|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. (1997) [[Issue:On measuring distances between intuitionistic fuzzy sets|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. (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. (1998b) [[Issue:Applications of intuitionistic fuzzy sets in decision making|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. (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. 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., 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. (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.
# 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.  
# 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.
# [[Lotfi Zadeh|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.
# 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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Revision as of 19:16, 19 November 2009

shortcut
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.
  3. 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.
  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.
  6. 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.
  7. Szmidt E. and Kacprzyk J. (1996a) Intuitionistic fuzzy sets in group decision making, Notes on IFS, 2, pp. 15-32.
  8. 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.
  9. Szmidt E. and Kacprzyk J. (1997) On measuring distances between intuitionistic fuzzy sets, Notes on IFS, Vol.3, No.4, pp.1 - 13.
  10. 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.
  11. 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.
  12. Szmidt E. and Kacprzyk J. (2000) Distances between intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol.114, No.3, pp.505 - 518.
  13. 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.
  14. Szmidt E., Kacprzyk J. (2001) Entropy for intuitionistic fuzzy sets. Fuzzy Sets and Systems, vol. 118, No. 3, pp. 467-477.
  15. 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.
  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.
  17. Tversky A. (1977) Features of similarity. Psychol. Rev. Vol. 84, pp. 327-352.
  18. L.A. Zadeh (1965) Fuzzy sets. Information and Control, 8, 338-353.
  19. 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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