Lebesgue theorems in non-additive measure theory

Fuzzy Sets and Systems

Volumn 149, Issue 3, 2005, Pages 543-548

  Song, Jinjie ^a   Li, Jun ^b  

^a Sidewave Co Ltd   (Japan)

^b SOUTHEAST UNIVERSITY   (China)

Author keywords

Convergence in measure; Lebesgue's theorem; Non additive measure

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; THEOREM PROVING;

CONVERGENCE IN MEASURE; LEBESGUE'S THEOREM; NON-ADDITIVE MEASURE;

FUZZY SETS;

EID: 10444255565     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2004.03.022     Document Type: Article

References (5)

1. J. Li, Order continuity of monotone set function and convergence of measurable functions sequence, Appl. Math. Comput. 35 (2003) 211-218.
2. T. Murofushi, M. Sugeno, A theory of fuzzy measures: representations, the Choquet integral and null sets, J. Math. Anal. Appl. 159 (1991) 532-549.
3. T. Murofushi, K. Uchino, S. Asahina, Conditions for Egoroff's theorem in non-additive measure theory, Fuzzy Sets and Systems, in press.
4. E. Pap, Null-additive Set Functions, Kluwer Academic Publication, Dordrecht, Boston, London, 1995.
5. Z. Wang, G.J. Klir, Fuzzy Measure Theory, Plenum, New York, 1992.