Pan-integrals with respect to imprecise probabilities

International Journal of General Systems

Volumn 25, Issue 3, 1996, Pages 229-243

  Wang, Zhenyuan ^a   Wang, Wei ^a,b,c,d   Klir, George J ^a  

^a State University of New York   (United States)

^b NANKAI UNIVERSITY   (China)

^c BINGHAMTON UNIVERSITY   (United States)

^d Stony Brook University   (United States)

Author keywords

Coherence; Fuzzy measures; Imprecise probabilities; Natural extensions; Pan integrals; Para additivity; Statistical modeling

Indexed keywords

FUNCTIONS; FUZZY SETS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PROBABILITY; STATISTICAL METHODS;

FUZZY MEASURE THEORY; LEBESGUE INTEGRAL; NATURAL EXTENSIONS; PAN INTEGRALS; STATISTICAL MODELING; SUGENO INTEGRAL;

COMPUTATION THEORY;

EID: 0030358152     PISSN: 03081079     EISSN: None     Source Type: Journal    
DOI: 10.1080/03081079608945157     Document Type: Article

References (6)

1. Halnios, P. R, [1967], Measure Theory, Van Nostrand, New York.
2. Walley, P. [1991], Statistical Reasoning with Imprecise Probabilities, Chapman and Hall, London.
3. Wang, Z. [1984], "The autocontinuity of set function and the fuzzy integral." Journal of Mathematical Analysis and Applications, 99, pp. 195-218.
4. Wang, Z. and G. J. Klir [1992], Fuzzy Measure Theory, Plenum Press, New York.
5. Wang, Z. and W. Wang [1995], Extension of lower probabilities and coherence of belief measures, Advances in Intelligent Computing (B. Bouchon-Mennier, R. R. Yager, and L. A. Zadeh eds.), Springer Verlag.
6. Yang, Q. [1983], The Pan-Integral on the Fuzzy Measure Space, thesis, Hebei University.