Sugeno integral of monotone functions based on Lebesgue measure

Computers and Mathematics with Applications

Volumn 56, Issue 2, 2008, Pages 367-374

  Ouyang, Yao ^a,b   Fang, Jinxuan ^b  

^a HUZHOU UNIVERSITY   (China)

^b NANJING NORMAL UNIVERSITY   (China)

Author keywords

Lebesgue measure; Monotone function; Pseudo inverse; Sugeno integral; Yong type inequality

Indexed keywords

ALGORITHMS; FUZZY LOGIC;

MONOTONE FUNCTION; SUGENO INTEGRAL; YONG TYPE INEQUALITY;

FUNCTION EVALUATION;

EID: 44149107926     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2007.11.044     Document Type: Article

References (9)

1. M. Sugeno, Theory of fuzzy integrals and its applications, Ph.D. Dissertation, Takyo Institute of Technology, 1974
2. Pap E. Null-Additive Set Functions (1995), Kluwer, Dordrecht
3. Ralescu D., and Adams G. The fuzzy integral. Journal of Mathematics Analysis and Application 75 (1980) 562-570
4. Wang Z., and Klir G.J. Fuzzy Measure Theory (1992), Plenum Press, New York
5. Román-Flores H., Flores-Franulic A., and Chalco-Cano Y. The fuzzy integral for monotone functions. Applied Mathematics and Computation 185 (2007) 492-498
6. Klement E.P., Mesiar R., and Pap E. Triangular Norms. Trends in Logic. Studia Logica Library vol. 8 (2000), Kluwer Academic Publishers, Dodrecht
7. Schweizer B., and Sklar A. Probabilistic Metric Spaces (1983), North-Holland, New York
8. R. Mesiar, Y. Ouyang, General Chebyshev type inequalities for Sugeno integrals, Fuzzy Sets and Systems (in press)
9. Y. Ouyang, J. Fang, L. Wang, Fuzzy Chebyshev type inequality (submitted for publication)