Lusin's theorem on fuzzy measure spaces

Fuzzy Sets and Systems

Volumn 146, Issue 1, 2004, Pages 121-133

  Li, Jun ^a   Yasuda, Masami ^b  

^a SOUTHEAST UNIVERSITY   (China)

^b CHIBA UNIVERSITY   (Japan)

Author keywords

Approximation in the mean; Fuzzy measure; Lusin's theorem; Non additive measures; Regularity; Weakly null additivity

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; MATHEMATICAL MODELS; MATHEMATICAL TECHNIQUES; MATRIX ALGEBRA; THEOREM PROVING;

FUZZY MEASURE; LUSIN'S THEOREM; NON-ADDITIVE MEASURES; REGULARITY; WEAKLY NULL-ADDITIVITY;

FUZZY SETS;

EID: 3042594618     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(03)00207-0     Document Type: Conference Paper

References (12)

1. Halmos P.R. Measure Theory. 1968;Van Nostrand, New York.
2. Jiang Q., Suzuki H. Fuzzy measures on metric spaces. Fuzzy Sets and Systems. 83:1996;99-106.
3. Jiang Q., Wang S., Ziou D. A further investigation for fuzzy measures on metric spaces. Fuzzy Sets and Systems. 105:1999;293-297.
4. Li J. A note on the null-additivity of the fuzzy measure. Fuzzy Sets and Systems. 125:2002;269-271.
5. Li J. On Egoroff's theorems on fuzzy measure space. Fuzzy Sets and Systems. 135:2003;367-375.
6. Li J., Yasuda M., Jiang Q., Suzuki H., Wang Z., Klir G.J. Convergence of sequence of measurable functions on fuzzy measure space. Fuzzy Sets and Systems. 87:1997;317-323.
7. Pap E. Null-Additive Set Functions. 1995;Kluwer, Dordrecht.
8. Royden H.L. Real Analysis. 1966;Macmillan, New York.
9. J. Song, J. Li, Regularity of null-additive fuzzy measure on metric spaces, Int. J. Gen. Systems, to appear.
10. Wang Z., Klir G.J. Fuzzy Measure Theory. 1992;Plenum, New York.
11. Wu C., Ha M. On the regularity of the fuzzy measure on metric fuzzy measure spaces. Fuzzy Sets and Systems. 66:1994;373-379.
12. Wu J., Wu C. Fuzzy regular measures on topological spaces. Fuzzy Sets and Systems. 119:2001;529-533.