A k-order fuzzy OR operator for pattern classification with k-order ambiguity rejection

Fuzzy Sets and Systems

Volumn 159, Issue 15, 2008, Pages 2011-2029

  Mascarilla, Laurent ^a   Berthier, Michel ^a   Frélicot, Carl ^a  

^a UNIVERSITÉ DE LA ROCHELLE   (France)

Author keywords

Ambiguity measure; Classification with reject options; Triangular norms

Indexed keywords

DATA REDUCTION; FUZZY SETS; MEMBERSHIP FUNCTIONS; NUMERICAL METHODS; PATTERN RECOGNITION;

AMBIGUITY MEASURE; CLASSIFICATION WITH REJECT OPTIONS; LABELS COMBINATION OPERATORS; TRIANGULAR NORMS;

MATHEMATICAL OPERATORS;

EID: 44549084824     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2008.02.019     Document Type: Article

References (19)

1. Anderson E. The irises of the gaspe peninsula. Bull. Amer. Iris Soc. 59 (1935) 2-5
2. Bezdek J., Keller J., Krishnapuram R., and Pal N. Fuzzy models and algorithms for pattern recognition and image processing. In: Dubois D., and Prade H. (Eds). The Handbooks of Fuzzy Sets Series (1999), Kluwer Academic Publishers, Norwell, MA
3. E. Bichot, Filtrage particulaire fondé sur les informations de mouvement et de couleur pour le suivi d'objets non rigides en milieu perturbé. application au projet aqu@thèque, Ph.D. Thesis, Université de La Rochelle, 2006.
4. C. Blake, C. Merz, UCI repository of machine learning databases, Department of Information and Computer Science, University of California, Irvine, CA, 〈http://www.ics.uci.edu/~mlearn/MLRepository.html〉, 1998.
5. Bruijn N.D., van Ebbenhorst Tengbergen C., and Kruyswijk D. On the set of divisors of a number. Nieuw Arch. Wisk. 23 2 (1951) 191-193
6. H. LeCapitaine, T. Batard, C. Frélicot, M. Berthier, Mesure de similarité par blocs via les normes triangulaires et l'intégrale de sugeno - application à la détection de contours, in: 17èmes Rencontres Francophones sur la Logique Floue et ses Applications (LFA'07), Ni{dotless}̂mes, 2007, pp. 49-56.
7. Chow C. On optimum recognition error and reject tradeoff. IEEE Trans. Inform. Theory IT-16 (1970) 41-46
8. Dubois D., and Prade H. A review of fuzzy sets aggregation connectives. Inform. Sci. 36 (1985) 85-121
9. Dubuisson B., and Masson M.-H. A statistical decision rule with incomplete knowledge about classes. Pattern Recognition 26 1 (1993) 155-165
10. Duda R.O., Hart P.E., and Stork D.G. Pattern Classification. second ed. (2001), Wiley-Interscience, New York iSBN 0-471-05669-3
11. C. Frélicot, M. Berthier, L. Mascarilla, A new cluster validity index for fuzzy clustering based on combination of dual triples, in: Proc. IEEE Internat. Conf. on Fuzzy Systems (FUZZ-IEEE), Vancouver, Canada, 2006, pp. 42-47.
12. C. Frélicot, L. Mascarilla, A third way to design pattern classifiers with reject options, in: 21th Internat. Conf. of the North American Fuzzy Information Processing Society (NAFIPS), New-Orleans, Louisiana, 2002, pp. 395-399.
13. Frélicot C., Mascarilla L., and Fruchard A. An ambiguity measure for pattern recognition problems using triangular-norms combination. WSEAS Trans. Systems 8 3 (2004) 2710-2715
14. Ha T.-M. The optimum class-selective rejection rule. IEEE Trans. Pattern Anal. Mach. Intell. PAMI-19 6 (1997) 608-615
15. E. Klement, R. Mesiar (Eds.), Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms, Elsevier, Amsterdam, The Netherlands, 2005.
16. Klir G., and Yuan B. Fuzzy Sets and Fuzzy Logic: Theory and Applications (1995), Prentice-Hall, Englewood Cliffs, NJ, USA
17. L. Mascarilla, C. Frélicot, A class of reject-first possibilistic classifiers based on dual triples, in: Joint 9th Internat. Fuzzy Systems Association World Congress (IFSA) and 20th Internat. Conf. of the North American Fuzzy Information Processing Society (NAFIPS), Vancouver, Canada, 2001, pp. 743-747.
18. D. Semani, C. Frélicot, P. Courtellemont, Feature selection using an ambiguity measure based on fuzzy OR-2 operators, International Fuzzy Systems Association, in: 10th Internat. Fuzzy Systems Association World Congress (IFSA), Istanbul, Turkey, 2003, pp. 265-268.
19. Tikhonov A. Solution of incorrectly formulated problems and the regularization method. Soviet Math. Dokl. 4 (1963) 1035-1038 (English translation of Dokl. Akad. Nauk SSSR 15 (1963) 501-504)