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

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[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
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{{issue/title
 | title           = A concept of similarity for intuitionistic fuzzy sets and its use in the aggregation of experts' testimonies
 | shortcut        = nifs/9/3/51-59
}}
{{issue/author
 | author          = Eulalia Szmidt
 | institution     = Systems Research Institute, Polish Academy of Sciences
 | address         = ul. Newelska 6, 01-447 Warsaw, Poland
 | email-before-at = szmidt
 | email-after-at  = ibspan.waw.pl
}}
{{issue/author
 | author          = Janusz Kacprzyk
 | institution     = Systems Research Institute, Polish Academy of Sciences
 | address         = ul. Newelska 6, 01-447 Warsaw, Poland
 | email-before-at = kacprzyk
 | email-after-at  = ibspan.waw.pl
}}
{{issue/data
 | conference      = Seventh [[ICIFS|International Conference on IFSs]], Sofia, 23-24 August 2003
 | issue           = [[Notes on Intuitionistic Fuzzy Sets/09/3|"Notes on IFS", Volume 9 (2003) Number 3]], pages 51-59
 | file            = NIFS-09-3-51-59.pdf
 | format          = PDF
 | size            = 133
 | 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      = 
# 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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