[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5391/JKIIS.2004.14.7.934

THE SEMINORMED FUZZY CO-INTEGRAL

Im, Sung-Mo (Department of Mathematics, RIMF, Chungbuk National University)
Kim, Mi-Hye (School of Electrical and Computer Engineering, Chungbuk National University)

Publication Information

Journal of the Korean Institute of Intelligent Systems / v.14, no.7, 2004 , pp. 934-938 More about this Journal

Abstract

In this paper, we introduce the seminormed fuzzy co-integral as a complementary concept of seminormed fuzzy integral, and investigate its properties. Furthermore we propose an application of this new integral for decision making problems.

Keywords

fuzzy measure; t-seminorm; t-semiconorm; seminormed fuzzy integral; seminormed fuzzy co-integral;

Citations & Related Records

Reference

1	L. Xuecheng, 'Further Discussion on Convergence Theorems for Seminormed Fuzzy Integrals and Semiconormed Fuzzy Integrals,' Fuzzy Sets and System 55, pp.219-226, 1993 DOI ScienceOn
2	Z. Wang, G. J. Klir, 'Fuzzy Measure Theory,' Plenum Press, New York, 1992
3	F. Suarez Garcia and P.Gil Alvarez, 'Measures of Fuzziness of Fuzzy Events' Fuzzy Sets and System 21 pp.147-157, 1987 DOI ScienceOn
4	K. Xu, Z. Wang, and K.S. Leung, 'Classificationby nonlinear integral projections,' IEEE T. Fuzzy System 11, No 2, PP.187-201, 2003 DOI ScienceOn
5	M. Grabisch, 'Fuzzy integral for classification and feature extraction, in Fuzzy Measure and Integrals,' M. Grabisch, T. Murofushi, and M. Sugeno eds., Physica-verlag, New york pp.415-434, 2000
6	G. Shafer, 'Belief function and possibility meas ures,' In: Bezdek, pp. 51-83, 1987
7	M. Grabisch, 'A new algorithm for identifying fuzzy measures and its application to pattern recognition,' Proc. Joint Conf. 4th IEEE Internat. Conf. On Fuzzy Systems and 2nd Internat. Fuzzy Engineering Symposium, Yokohama, Japan pp.145-150, 1995
8	D. Ralescu and G. Adams, 'The Fuzzy Integral,' J. Math. Anal. Appl 75 pp.562-570, 1980 DOI
9	F. Suarez Garcia and P. Gil. Alvarez, 'Two Families of Fuzzy Integrals,' Fuzzy Sets and Systems 18 pp. 67-81, 1986 DOI ScienceOn
10	M. Sugeno, 'Theory of Fuzzy Integrals and Its Applications,' Ph.D Dissertation Thesis, Tokyo Institute of Technology, 1974