A Chebyshev type inequality for fuzzy integrals

Applied Mathematics and Computation

Volumn 190, Issue 2, 2007, Pages 1178-1184

  Flores Franulic A ^a   Roman Flores H ^a  

^a UNIVERSIDAD DE TARAPACÁ   (Chile)

Author keywords

Fuzzy measure; Monotone functions; Sugeno integral

Indexed keywords

FUNCTION EVALUATION; INTEGRAL EQUATIONS;

FUZZY INTEGRALS; FUZZY MEASURE; MONOTONE FUNCTIONS; SUGENO INTEGRAL;

FUZZY SETS;

EID: 34250630504     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.02.143     Document Type: Article

References (11)

1. M. Sugeno, Theory of fuzzy integrals and its applications, Ph.D. thesis. Tokyo Institute of Technology, 1974.
2. Ralescu D., and Adams G. The fuzzy integral. J. Math. Anal. Appl. 75 (1980) 562-570
3. Román-Flores H., Flores-Franulič A., Bassanezi R., and Rojas-Medar M. On the level-continuity of fuzzy integrals. Fuzzy Sets Syst. 80 (1996) 339-344
4. Román-Flores H., and Chalco-Cano Y. H-continuity of fuzzy measures and set defuzzification. Fuzzy Sets Syst. 157 (2006) 230-242
5. Román-Flores H., and Chalco-Cano Y. Sugeno integral and geometric inequalities. Int. J. Uncertain. Fuzz. Knowledge-Based Syst. 15 1 (2007) 1-11
6. Wang Z., and Klir G. Fuzzy measure theory (1992), Plenum, New York
7. H. Román-Flores, A. Flores-Franulič, Y. Chalco-Cano, The fuzzy integral for monotone functions, Appl. Math. Comput., in press, doi:10.1016/j.amc.2006.07.066.
8. H. Román-Flores, A. Flores-Franulič, Y. Chalco-Cano, A Jensen type inequality for fuzzy integrals, Inform. Sciences, in press, doi:10.1016/j.ins.2007.02.006.
9. Tong Y.L. Relationship between stochastic inequalities and some classical mathematical inequalities. J. Inequal. Appl. 1 (1997) 85-98
10. Wagener A. Chebyshev's algebraic inequality and comparative statics under uncertainty. Math. Social Sci. 52 (2006) 217-221
11. Gauchman H. Some integral inequalities involving Taylor's remainder II. J. Inequal. Pure Appl. Math. 4 1 (2003) Art.1