Abstract
After representing experience-based evaluations as intuitionistic fuzzy sets (IFSs), one might expect that all of the existing similarity measures for IFSs could be used to compare them. However, only some of those measures seem to be suitable to do so according to a psychological perspective which indicates that similarity measures assuming symmetry and transitivity could not reflect properly the perceived similarity. Consequently, to determine empirically their suitability for such comparisons, several similarity measures for IFSs were tested on simulated experience-based evaluations. This paper presents our findings about how each of them reflected the perceived similarity among the simulated experience-based evaluation sets.
References
Atanassov, K.T.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20(1), 87–96 (1986)
Atanassov, K.T.: On Intuitionistic Fuzzy Sets Theory: Studies in Fuzziness and Soft Computing, vol. 283. Springer, Heidelberg (2012)
Buckley, C., Salton, G., Allan, J.: The effect of adding relevance information in a relevance feedback environment. In: Croft, B.W., van Rijsbergen, C.J. (eds.) SIGIR 1994, pp. 292–300. Springer, London (1994). http://dl.acm.org/citation.cfm?id=188490.188586
Burges, C.J.: A tutorial on support vector machines for pattern recognition. Data Min. Knowl. Discov. 2(2), 121–167 (1998)
Joachims, T.: Making large-scale SVM learning practical. In: Schölkopf, B., Burges, C., Smola, A. (eds.) Advances in Kernel Methods - Support Vector Learning, chap. 11, pp. 169–184. MIT Press, Cambridge, MA (1999)
Joachims, T.: Text categorization with support vector machines: learning with many relevant features. In: Nédellec, C., Rouveirol, C. (eds.) ECML 1998. LNCS, vol. 1398, pp. 137–142. Springer, Heidelberg (1998). doi:10.1007/BFb0026683
Lewis, D.D., Yang, Y., Rose, T.G., Li, F.: RCV1: a new benchmark collection for text categorization research. J. Mach. Learn. Res. 5, 361–397 (2004)
Loor, M., De Tré, G.: Connotation-differential prints - comparing what is connoted through (fuzzy) evaluations. In: Proceedings of the International Conference on Fuzzy Computation Theory and Applications, pp. 127–136 (2014)
Loor, M., De TrĂ©, G.: Vector based similarity measure for intuitionistic fuzzy sets. In: Atanassov, K.T., BaczyÅ„ski, M., Drewniak, J., Kacprzyk,J., Krawczak, M., Szmidt, E., Wygralak, M., Zadrożny, S. (eds.) Modern Approaches in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics: Volume I: Foundations, SRI-PAS, pp. 105–127 (2014)
Loor, M., De Tré, G.: Choosing suitable similarity measures to compare intuitionistic fuzzy sets that represent experience-based evaluation sets. In: Proceedings of the 7th International Joint Conference on Computational Intelligence (IJCCI 2015) - Volume 2: FCT, pp. 57—68 (2015)
Rose, T., Stevenson, M., Whitehead, M.: The reuters corpus volume 1-from yesterday’s news to tomorrow’s language resources. In: LREC, vol. 2, pp. 827–832 (2002)
Szmidt, E.: Similarity measures between intuitionistic fuzzy sets. Distances and Similarities in Intuitionistic Fuzzy Sets. Studies in Fuzziness and Soft Computing, vol. 307, pp. 87–129. Springer, Cham (2014)
Szmidt, E., Kacprzyk, J.: Distances between intuitionistic fuzzy sets. Fuzzy Sets Syst. 114(3), 505–518 (2000)
Szmidt, E., Kacprzyk, J.: A concept of similarity for intuitionistic fuzzy sets and its use in group decision making. In: IEEE International Conference on Fuzzy Systems, pp. 1129–1134 (2004)
Szmidt, E., Kacprzyk, J.: Geometric similarity measures for the intuitionistic fuzzy sets. In: 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13), pp. 840–847. Atlantis Press (2013)
Tversky, A.: Features of similarity. Psychol. Rev. 84(4), 327 (1977)
Vapnik, V.N.: The Nature of Statistical Learning Theory. Springer, New York (1995)
Vapnik, V.N., Vapnik, V.: Statistical Learning Theory, 1st edn. Wiley, New York (1998)
Zadeh, L.: Fuzzy sets. Inf. Control 8(3), 338–353 (1965)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Loor, M., De Tré, G. (2017). In a Quest for Suitable Similarity Measures to Compare Experience-Based Evaluations. In: Merelo, J.J., et al. Computational Intelligence. IJCCI 2015. Studies in Computational Intelligence, vol 669. Springer, Cham. https://doi.org/10.1007/978-3-319-48506-5_15
Download citation
DOI: https://doi.org/10.1007/978-3-319-48506-5_15
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-48504-1
Online ISBN: 978-3-319-48506-5
eBook Packages: EngineeringEngineering (R0)