Fuzzy measures defined by fuzzy integral and their absolute continuity

Journal of Mathematical Analysis and Applications

Volumn 203, Issue 1, 1996, Pages 150-165

  Wang, Zhenyuan ^a   Klir, George J ^a   Wang, Wei ^a  

^a State University of New York at Binghamton   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030268559     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0372     Document Type: Article

References (15)

1. 1. P. R. Halmos, "Measure Theory," Van Nostrand, New York, 1967.
2. 2. G. Shafer, "A Mathematical Theory of Evidence," Princeton Univ. Press, Princeton, NJ, 1976.
3. 3. M. Sugeno, Theory of fuzzy integrals and its applications, Ph.D. dissertation, Tokyo Institute of Technology, 1974.
4. 4. Q. Sun, On the pseudo-autocontinuity of fuzzy measures, Fuzzy Sets and Systems 45 (1992), 59-68.
5. 5. Q. Sun and Z. Wang, On the autocontinuity of fuzzy measures, in "Cybernetics and Systems' 88," (R. Trappl, Ed.), Kluwer, Boston, 1988 pp. 717-721.
6. 6. H. Suzuki, On fuzzy measures defined by fuzzy integrals, J. Math. Anal. Appl. 132 (1988), 87-101.
7. 7. J. Wang, On the absolute continuity of fuzzy measures, (MS. thesis, Hebei University, 1990 (in Chinese).
8. 8. Z. Wang, The autocontinuity of set function and the fuzzy integral, J. Math. Anal. Appl. 99 (1984), 195-218.
9. 9. Z. Wang, Asymptotic structural characteristics of fuzzy measure and their applications, Fuzzy Sets and Systems 16 (1985), 277-290.
10. 10. Z. Wang, Absolute continuity and extension of fuzzy measures, Fuzzy Sets and Systems 36 (1990), 395-399.
11. 11. Z. Wang, Structural characteristics of fuzzy measure on S-compact spaces, Internat. J. Gen. Systems 17 (1990), 309-316.
12. 12. Z. Wang, On the null-additivity and the autocontinuity of a fuzzy measure, Fuzzy Sets and Systems 45 (1992), 223-226.
13. 13. Z. Wang and G. J. Klir, "Fuzzy Measure Theory," Plenum, New York, 1992.
14. 14. Z. Wang, G. J. Klir, and D. Harmanec, The preservation of structural characteristics of monotone set functions defined by fuzzy integral, J. Fuzzy Math. 3(1) (1995), 229-240.
15. 15. Z. Wang, G. J. Klir, and W. Wang, Monotone set functions defined by Choquet integral, Fuzzy Sets and Systems, 81 (1996), pp. 241-250.