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Issue:A new similarity measure of intuitionistic fuzzy sets and its application to estimate the priority weights from intuitionistic preference relations

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Title of paper: A new similarity measure of intuitionistic fuzzy sets and its application to estimate the priority weights from intuitionistic preference relations
Author(s):
Debashree Guha
Department of Mathematics, IIT Patna, Patna 800013, India
debashree@iitp.ac.in
Debjani Chakraborty
Department of Mathematics, IIT Kharagpur, Kharagpur 721302, India
Published in: "Notes on IFS", Volume 18 (2012) Number 1, pages 37—47
Download:  PDF (99  Kb, Info)
Abstract: The aim of this paper is to introduce a methodology for estimating the priority based weights of alternatives from the intuitionistic preference relation. A new similarity measure for intuitionistic fuzzy sets (IFSs) is also introduced and a priority method of intuitionistic preference relations is developed by employing the new similarity measure. A set of examples are provided to compare the proposed similarity measure with the existing similarity measures. Finally, the methodology is illustrated with the help of a numerical example.
Keywords: Intuitionistic fuzzy sets, Intuitionistic preference relation, Multi criteria decision making, Priority vector, Similarity measure.
AMS Classification: 03E72.
References:
  1. Atanassov, K., Intuitionistic fuzzy sets. Fuzzy Sets and Systems, Vol. 20, 1986, 87–96.
  2. Atanassov, K., G. Pasi, R. R. Yager, Intuitionistic fuzzy interpretations of multi-criteria multiperson and multi-measurement tool decision making. International Journal of Systems Science, Vol. 36, 2005, 859–868.
  3. Bustince, H., P. Burillo, Vague sets are intuitionistic fuzzy sets. Fuzzy Sets and Systems, Vol. 79, 1996, 403–405.
  4. Chen, S. M., Measures of similarity between vague sets. Fuzzy Sets and Systems, Vol. 74, 1995, 217–223.
  5. Chen, S. M., Similarity measure between vague sets and between elements. IEEE Transactions on Systems, Man, and Cybernetics, Vol. 27, 1997,153–158.
  6. Chen, Z., W. Yang, A new multiple criteria decision making method based on intuitionistic fuzzy information, Expert Systems with Applications, Vol. 39, 2012, 4328–4334.
  7. Gau, W. L., D. J. Buehrer, Vague Sets. IEEE Transactions on Systems, Man, and Cybernetics, Vol. 23, 1993, 610–614.
  8. Gong, Z. W., L. S. Li, F. X. Zhou, T. X. Yao, Goal programming approaches to obtain the priority vectors from the intuitionistic fuzzy preference relations. Computers & Industrial Engineering, Vol. 57, 2009, 1187–1193.
  9. Herrera, F., L. Martinez, P. J. Sanchez, Managing non-homogeneous information in group decision making. European Journal of Operational Research, Vol. 166, 2005, 115–132.
  10. Hong, D. H., C. Kim, A note on similarity measures between vague sets and between elements. Information Sciences, Vol. 115, 1999, 83–96.
  11. Li, D. F., Multiattribute decision making models and methods using intuitionistic fuzzy sets. Journal of Computer and System Science, Vol. 70, 2005, 73–85.
  12. Lin, L., X. H. Yuan, Z. Q. Xia, Multicriteria fuzzy decision–making methods based on intuitionistic fuzzy sets. Journal of Computer and System Sciences, Vol. 73, 2007, 84–88.
  13. Park, J. H., Y. Park, Y. C. Kwun, X. Tan, Extension of the TOPSIS method for decision making problems under interval-valued intuitionistic fuzzy environment, Applied Mathematical Modelling, Vol. 35, 2011, 2544–2556.
  14. Qian, G., X. Q. Feng, Intuitionistic weight generation approach from intuitionistic preference relations. Proceedings of the 7th Int. Conf.on Machine Learning and Cybernetics, Kunming, 2008, 536–541.
  15. Su, Z., G. P. Xia, M. Y. Chen, L. Wang, Induced generalized intuitionistic fuzzy OWA operator for multi-attribute group decision making. Expert Systems with Applications, Vol. 39, 2012, 1902–1910.
  16. Szmidt, E., J. Kacprzyk, Using intuitionistic fuzzy sets in group decision making. Control and Cybernetics, Vol. 31, 2002, 1037–1053.
  17. Szmidt, E., J. Kacprzyk, A consensus-reaching process under intuitionistic fuzzy preference relations. International Journal of Intelligent Systems, Vol. 18, 2003, 837–852.
  18. Szmidt, E., J. Kacprzyk, A new concept of a similarity measure for intuitionistic fuzzy sets and its use in group decision making. V. Torra, Y. Narukawa, S. Miyamoto Eds., Modelling Decisions for Artificial Intelligence. LNAI 3558, Springer, 2005, 272–282.
  19. Xu, Z. S., R. R. Yager, Some geometric aggregation operators based on intuitionistic fuzzy sets. International Journal of General Systems, Vol. 35, 2006, 417–433.
  20. Xu, Z. S., R. R. Yager, Dynamic intuitionistic fuzzy multi-attribute decision making. International Journal of Approximate Reasoning, Vol. 48, 2008, 246–262.
  21. Xu, Z. S., R. R. Yager, Intuitionistic and interval-valued intuitionistic fuzzy preference relations and their measures of similarity for the evaluation of agreement within a group. Fuzzy Optimization and Decision Making, Vol. 8, 2009, 123–139.
  22. Xu, Z. S., Intuitionistic preference relations and their application in group decision making. Information Sciences, Vol. 177, 2007, 2363–2379.
  23. Xu, Z. S., A method for estimating criteria weights from intuitionistic preference relations, B.Y. Cao Ed., Fuzzy Information and Engineering, (ICFIE), Berlin, Springer, 2007, 503–512.
  24. Xu, Z. S., Approaches to multiple attribute decision making with intuitionistic fuzzy preference information. Systems Engineering – Theory & Practice, Vol. 27, 2007, 62–71.
  25. Xu, Z. S., Some similarity measures of intuitionistic fuzzy sets and their applications to multiple attribute decision making. Fuzzy Optimization and Decision Making, Vol. 6, 2007, 109–121.
  26. Wei, G., Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making. Applied Soft Computing, Vol. 10, 2010, 423–431.
  27. Ye, J., Fuzzy decision-making method based on the weighted correlation coefficient under previous intuitionistic fuzzy environment. European Journal of Operational Research, Vol. 205, 2010, 202–204.
  28. Zadeh, L. A., Fuzzy Sets. Information and Control, Vol. 8, 1965, 338–353.
  29. Zhang, C., H. Fu, Similarity measures on three kinds of fuzzy sets. Pattern Recognition Letters, Vol. 27, 2006, 1307–1317.
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