On the comonotonic-{black star}-property for Sugeno integral

Applied Mathematics and Computation

Volumn 211, Issue 2, 2009, Pages 450-458

  Ouyang, Yao ^a,b   Mesiar, Radko ^c,d   Li, Jun ^e  

^a HUZHOU UNIVERSITY   (China)

^b NANJING NORMAL UNIVERSITY   (China)

^c SLOVAK UNIVERSITY OF TECHNOLOGY   (Slovakia)

^d UNIVERSITY OF OSTRAVA   (Czech Republic)

^e Communication University of China ^*  (China)

Author keywords

Comonotonic black star property; First projection; Last projection; Maximum; Minimum; Nonadditive measure; Sugeno integral

Indexed keywords

COMONOTONIC-{BLACK STAR}-PROPERTY; FIRST PROJECTION; LAST PROJECTION; MAXIMUM; MINIMUM; NONADDITIVE MEASURE; SUGENO INTEGRAL;

EID: 64849100759     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.01.067     Document Type: Article

References (21)

1. N over spherical shells and balls. Applied Mathematics Letters 21 (2008) 119-127
2. Benvenuti P., Mesiar R., and Vivona D. Monotone set functions-based integrals. In: Pap E. (Ed). Handbook of Measure Theory vol. II (2002), Elsevier 1329-1379
3. Flores-Franulič A., and Román-Flores H. A Chebyshev type inequality for fuzzy integrals. Applied Mathematics and Computation 190 (2007) 1178-1184
4. Li J., and Yasuda M. On Egoroff's theorems on finite monotone non-additive measure space. Fuzzy Sets and Systems 153 (2005) 71-78
5. Mesiar R., Mesiarová-Zemánková A., and Valášková L. Basic generated universal fuzzy measures. International Journal of Approximate Reasoning 46 (2006) 447-457
6. Mesiar R., and Ouyang Y. General Chebyshev type inequalities for Sugeno integrals. Fuzzy Sets and Systems 160 (2009) 58-64
7. Murofushi T., and Sugeno M. A theory of fuzzy measures: representations, the Choquet integral, and null sets. Journal of Mathematical Analysis and Applications 159 (1991) 532-549
8. Ouyang Y., and Fang J. Sugeno integral of monotone functions based on Lebesgue measure. Computers and Mathematics with Applications 56 (2008) 367-374
9. Ouyang Y., Fang J., and Wang L. Fuzzy Chebyshev type inequality. International Journal of Approximate Reasoning 48 (2008) 829-835
10. Y. Ouyang, R. Mesiar, On the Chebyshev type inequality for seminormed fuzzy integral, submitted for publication.
11. Pap E. Null-additive Set Functions (1995), Kluwer, Dordrecht
12. Ralescu D., and Adams G. The fuzzy integral. Journal of Mathematics Analysis and Application 75 (1980) 562-570
13. Saminger S., Mesiar R., and Bodenhofer U. Domination of aggregation operators and preservation of transitivity. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 10 Suppl. (2002) 11-36
14. Saminger-Platz S., Mesiar R., and Dubois D. Aggregation operators and commuting. IEEE Transactions on Fuzzy Systems 15 (2007) 1032-1045
15. Simonovits A. Three economic applications of Chebyshev's algebraic inequality. Mathematical Social Sciences 30 (1995) 207-220
16. Struk P. Extremal fuzzy integrals. Soft Computing 10 (2006) 502-505
17. M. Sugeno, Theory of fuzzy integrals and its applications, Ph.D. Dissertation, Takyo Institute of Technology, 1974.
18. Toader Gh. On Chebyshev's inequality for sequences. Discrete Mathematics 161 (1996) 317-322
19. Wagener A. Chebyshev's algebraic inequality and comparative statics under uncertainty. Mathematical Social Sciences 52 (2006) 217-221
20. Wang Z., and Klir G.J. Fuzzy Measure Theory (1992), Plenum Press, New York
21. Wen J., and Wang W. Chebyshev type inequalities involving permanents and their applications. Linear Algebra and its Applications 422 (2007) 295-303