A New Approach to the Distances between Intuitionistic Fuzzy Sets

Communications in Computer and Information Science

Volumn 80 PART 1, Issue , 2010, Pages 581-590

  Atanassov, Krassimir ^a  

^a CENTRE OF BIOMEDICAL ENGINEERING   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

INTUITIONISTIC FUZZY SETS; NEW APPROACHES;

DATA PROCESSING; INFORMATION MANAGEMENT; KNOWLEDGE BASED SYSTEMS;

FUZZY SETS;

EID: 84880477034     PISSN: 18650929     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-14055-6_61     Document Type: Conference Paper

References (29)

1. Atanassov, K.: Two variants of intuitionistic fuzzy propositional calculus, Preprint IM-MFAIS-5-88, Sofia (1988)
2. Atanassov, K.: Intuitionistic Fuzzy Sets. Springer, Berlin (1999)
3. Atanassov, K.: On intuitionistic fuzzy negations and De Morgan Laws. In: Proc. Of Eleventh International Conf., IPMU 2006, Paris, July 2-7, pp. 2399-2404 (2006)
4. Atanassov, K.: On some intuitionistic fuzzy implication. Comptes Rendus de l'Academie bulgare des Sciences 59(1), 19-24 (2006)
5. ε,η. Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics 1, 1-10 (2008)
6. Atanassov, K.: 25 years of intuitionistic fuzzy sets or the most interesting results and the most important mistakes of mine. In: Advances in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics. I: Foundations, pp. 1-35. Academic Publishing House EXIT, Warszawa (2008)
7. Atanassov, K.: Remark on operations subtraction over intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets 15(3), 24-29 (2009), http://ifigenia.org/wiki/issue:nifs/15/3/24-29
8. ′′ε,η. In: Eight Polish Conf. on Intuitionistic Fuzzy Sets and Generalized Nets, Warsaw, October 16 (in press, 2009)
9. Atanassov, K., Dimitrov, D.: On the negations over intuitionistic fuzzy sets. Part 1. Annual of Informatics Section Union of Scientists in Bulgaria 1, 49-58 (2008), http://ifigenia.org/wiki/issue:usb-2008-1-49-58
10. Ban, A.: Intuitionistic Fuzzy Measures. Theory and Applications. Nova Sci. Publishers, New York (2006)
11. Chen, T.-Y.: A note on distances between intuitionistic fuzzy sets and/or interval valued fuzzy sets based on the Hausdorff metric. Fuzzy Sets and Systems 158(22), 2523-2525 (2007)
12. Gardner, M.: Mathematical Games: The fantastic combinations of John Conway's new solitaire game Life. Scientific American 223, 120-123 (1970)
13. Grzegorzewski, P.: Distances and orderings in a family of intuitionistic fuzzy numbers. In: Proc. of the Third Conf. of the European Society for Fuzzy Logic and Technology, EUSFLAT 2003, Zittau, September 10-12, pp. 223-227 (2003)
14. Grzegorzewski, P.: The Hamming distance between intuitionistic fuzzy sets. In: De Baets, B., Kaynak, O., Bilgiç, T. (eds.) IFSA 2003. LNCS (LNAI), vol. 2715, pp. 35-38. Springer, Heidelberg (2003)
15. Grzegorzewski, P.: On measuring distances between intuitionistic fuzzy sets. In: Atanassov, K., Kacprzyk, J., Krawczak, M. (eds.) Issues in Intuitionistic Fuzzy Sets and Generalized Nets, vol. 2, pp. 107-115. Wydawnictwo WSISiZ, Warszawa (2004)
16. Guo, X.J.: Li: Entropy, distance measure and similarity measure of intuitionistic fuzzy sets and their relations. Mathematics in Practice and Theory 37(4), 109-113 (2007)
17. Klir, G.: Bo Yuan: Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey (1995)
18. Rasiova, H., Sikorski, R.: The Mathematics of Metamathematics. Warszawa, Pol. Acad. of Sci. (1963)
19. Riečan, B., Boyadzhieva, D., Atanassov, K.: On intuitionistic fuzzy subtraction related to intuitionistic fuzzy negation ¬11. Notes on Intuitionistic Fuzzy Sets 15(4), 1-6 (2009), http://ifigenia.org/wiki/issue:nifs/15/4/1-6
20. Song, Y., Zhang, Q., Zhou, X.: Supplier selection model based on distance measure between intuitionistic fuzzy sets. In: Proc. of IEEE International Conference on Systems, Man and Cybernetics, vol. 5, pp. 3795-3799
21. Szmidt, E., Kacprzyk, J.: Distances between intuitionistic fuzzy sets. Fuzzy Sets and Systems 114(4), 505-518 (2000)
22. Szmidt, E., Kacprzyk, J.: Distance from consensus under intuitionistic fuzzy preferences. In: Proceedings of EUROFUSE Workshop on Preference Modelling and Applications, EUROFUSE-PM 2001, Granada, April 25-27 (2001)
23. Szmidt, E., Kacprzyk, J.: Analysis of agreements in a group of experts via distances between intuitionistic fuzzy preferences. In: Proc. of the Ninth International Conf., IPMU 2002, Annecy, France, July 1-5, vol. 3, pp. 1859-1865 (2002)
24. Szmidt, E., Kacprzyk, J.: Group agreement analysis via distances and entropy of intuitionistic fuzzy sets. In: Proceedings of Int. Conf. on Fuzzy Information Processing: Theories and Applications, Beijing, China, March 1-4, vol. 1, pp. 631-635 (2003)
25. Szmidt, E., Kacprzyk, J.: Distances between intuitionistic fuzzy sets and their applications in reasoning. In: Halgamude, S., Wang, L. (eds.) Computational Intelligence for Modelling and Prediction, pp. 101-116. Springer, Berlin (2005)
26. Szmidt, E., Kacprzyk, J.: Distances between intuitionistic fuzzy sets: straightforward approaches may not work. In: Proc. of 3rd Int. IEEE Conf. Intelligent Systems IS 2006, London, September 4-6, pp. 716-721 (2006)
27. Tan, C., Zhang, Q.: Aggregation of opinion in group decision making based on intuitionistic fuzzy distances. Mathematics in Practice and Theory 36(2), 119-124 (2006) (in Chinese)
28. Wagn, W., Xin, X.: Distance measure between intuitionistic fuzzy sets. Pattern Recognition Letters 26(13), 2063-2069 (2005)
29. Yang, Y., Chiclana, F.: Intuitionistic fuzzy sets: Spherical representation and distances. Int. J. of Intelligent Systems 24, 399-420 (2009)