The similarity measure between interval type-2 fuzzy sets based on triangles

2009 IEEE International Conference on Information and Automation, ICIA 2009

Volumn , Issue , 2009, Pages 1374-1379

  Lv, Zehua ^a   Jin, Hai ^a   Yuan, Pingpeng ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CLUSTERING TECHNIQUES; DEGREE OF SIMILARITY; EXISTING METHOD; INTERVAL TYPE-2 FUZZY SETS; LINEAR FUNCTIONS; NOVEL METHODS; NUMERICAL EXAMPLE; SIMILARITY MEASURE;

DRUG PRODUCTS PLANTS; FUZZY SETS; NUMERICAL METHODS;

FUZZY CLUSTERING;

EID: 70449657900     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICINFA.2009.5205131     Document Type: Conference Paper

References (22)

1. L.A. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning-1", Information Sci., 8, 1975, pp.199-249.
2. L.K. Hyung, Y.S. Song and K.M. Lee, "Similarity measures between fuzzy sets and between elements", Fuzzy Sets Systems, Vol. 62, No. 3, 1994, pp.291-293.
3. S. M. Chen, "Measures of similarity between vague sets", Fuzzy Sets and Systems, 74, 1995, pp.217-223.
4. S. M. Chen, "Similarity measures between vague sets and between elements", IEEE Trans. Systems Man Cybernet, 27, 1997, pp.153-158.
5. D. H. Hong and C. Kim, "A note on similarity measures between vague sets and between elements", Information Science, 115, 1999, pp.83-96.
6. D. Li and C Cheng, "New similarity measures of intuitionistic fuzzy sets and application to pattern recognition", Pattern Recognition Letters, 23, 2002, pp.221-225.
7. Z. Liang and P. Shi, "Similarity measures on intuitionistic fuzzy sets", Pattern Recognition Letters. 24, 2003, pp.2687-2693.
8. H. B. Mitchell, "On the Dengfeng-Chuntian similarity measure and its application to pattern recognition", Pattern Recognition Letters, 24, 2003, pp.3101-3104.
9. W. L. Hung and M.S. Yang, "Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance", Pattern Recognition Letter, 25, 2004, pp.1603-1611.
10. Z. Lv, C. Chen and W. Li, "A new method for measuring similarity between intuitionistic fuzzy sets based on normal distribution functions", Proceedings of Fourth international Conference on Fuzzy Systems and Knowledge Discovery, 2007, pp.108-113.
11. J. M. Mendel and R. I. B. John, "Type-2 fuzzy sets made simple, " IEEE Trans. Fuzzy Syst., Vol.10, No.2, 2002, pp.117-127.
12. J. M. Mendel, "On the importance of interval sets in type-2 fuzzy logic systems", Proc. Joint 9th IFSAWorld Congr. 20th NAFIPS Int. Conf., Vancouver, BC, Canada, Jul. 25-28, 2001, pp.1647-1652.
13. H. Bustince and P.Burillo, "Vague sets are intuitionistic fuzzy sets", Fuzzy sets and Systems, 79, 1996, pp.403-405.
14. H.Li and S.Dick, "A similarity measure for fuzzy rulebases based on linguistic gradients", Information Sciences, 176, 2006, pp.2960-2987.
15. H. B. Mitchell, "Pattern recognition using type-2 fuzzy sets", Information Science, 170 (2-4), 2005, pp.409-418.
16. M. B.Gorzalczany, "A method of inference in approximate reasoning based on interval-valued fuzzy sets", Fuzzy Sets and Systems, 21, 1987, pp.1-17.
17. D. Wu and J. M. Mendel, "A vector similarity measure for linguistic approximation: Interval type-2 and type-1 fuzzy sets", Information Science, 178(2), 2008, pp.381-402.
18. H. Bustince, "Indicator of inclusion grade for interval-valued fuzzy sets. Application to approximate reasoning based on interval-valued fuzzy sets", Int'l Journal of Approximate Reasoning, 23 (3), 2000, pp.137-209.
19. J. M. Mendel, R. John and F. Liu, "Interval type-2 fuzzy logic systems made simple", IEEE transaction on fuzzy systems, 14(6), 2006, pp.808-821.
20. J. M. Mendel and R. I. B. John, "Type-2 fuzzy sets made simple", IEEE transactions on fuzzy systems, 10 (2), 2002, pp.117-127.
21. J. M. Mendel. "Advances in type-2 fuzzy sets and systems", Information science, 177, 2007, pp.84-110.
22. D. Wu and J. M. Mendel. "A vector similarity measure for linguistic approximation: Interval type-2 fuzzy and type-1fuzzy sets", Information science, 178, 2008, pp.381-402.