Rough Fuzzy Integrals for Information Fusion and Classification

  • Tao Guan
  • Boqin Feng
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3066)


This paper presents two extended fuzzy integrals under rough uncertainty, i.e. rough upper fuzzy and lower fuzzy integrals, and extended properties are also given. Furthermore, these two integrals are applied here in information fusion and classification processes for rough features, and the corresponding extended models are also proposed. These types of integrals generalize fuzzy integrals and enlarge their domains of applications in fusion and classification under rough uncertainty. Examples show that they fuse or classify objects with rough features with fairly good effects while the existed methods based on reals can not solve.


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  1. 1.
    Sugeno, M.: Fuzzy measures and fuzzy integrals. Trans. S.I.C.E. 8(2) (1972)Google Scholar
  2. 2.
    Pawlak, Z.: Rough sets. International Journal of Computer and Information Sciences 11, 341–356 (1982)zbMATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    Yao, Y.Y.: A comparative study of fuzzy sets and rough sets. Journal of Information Sciences 109, 227–242 (1998)zbMATHCrossRefGoogle Scholar
  4. 4.
    Radzikowska, A.M., Kerre, E.E.: A comparative study of fuzzy rough sets. Fuzzy Sets and Systems 126, 137–155 (2002)zbMATHCrossRefMathSciNetGoogle Scholar
  5. 5.
    Dubois, D., Prade, H.: Rough fuzzy sets and fuzzy rough sets. Int. J. General Systems 17(2-3), 191–209 (1990)zbMATHCrossRefGoogle Scholar
  6. 6.
    Halmos, P.R.: Measure theory. Graduate Texts in Mathematics, vol. 18. Springer, Heidelberg (1974)zbMATHGoogle Scholar
  7. 7.
    Wang, Z., Klir, G.J.: Fuzzy measure theory. Plenum Press, New York (1992)zbMATHGoogle Scholar
  8. 8.
    Lin, T.Y., Liu, Q., Zou, X.: Models for first order rough logic applications to data mining. In: ’Soft Computing in Intelligent Systems and Information Processing’, Proceedings of the 1996 Asian Fuzzy Systems Symposium, December 11-14, pp. 152–157 (1996)Google Scholar
  9. 9.
    Keller, J.M., Osborn, J.: Training the fuzzy integral. International Journal of Approximation Reasoning 15, 1–24 (1996)zbMATHCrossRefGoogle Scholar
  10. 10.
    Gader, P.D., Mohamed, M.A., Keller, J.M.: Fusion of handwritten word classifiers. Pattern Recognition Letters 17, 577–584 (1996)CrossRefGoogle Scholar
  11. 11.
    Tahani, H., Keller, J.M.: Information fusion in computer vision using the fuzzy integral. IEEE Trans. On Systems, Man, and Cybernetics 20(3) (May/June 1990)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Tao Guan
    • 1
  • Boqin Feng
    • 1
  1. 1.School of Electronics and Information EngineeringXi’an Jiaotong UniversityXi’anChina

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