Integral representation without additivity
NettetD. Schmeidler, Integral representation without additivity, Proc. AMS 97 (1986) 253–261. Google Scholar D. Schmeidler, Subjective probability and expected utility … NettetA comonotonically additive and monotone functional (for short c.m.) on the class of continuous functions with compact support is represented by one Choquet integral if …
Integral representation without additivity
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Nettet1. jul. 2013 · [4] Schmeidler, D., Integral representation without additivity. Proc. Amer. Math. Soc. v97. 255-261. Google Scholar Cross Ref [5] Murofushi, T. and Sugeno, M., … NettetSchmeidler, D. (1986). Integral representation without additivity. Proceedings of the American Mathematical Society, 97(2), 255–255. doi:10.1090/s0002-9939-1986 ...
Nettet9. des. 1996 · The problem of representation of a nonlinear func- tional as some type of integral is very important. For the Choquet integral this was done recently in [16, 23] (but see the earlier papers [1, 6]). The basic concept under which such representations are possible is that of comonotonic additivity. NettetA Choquet integral is a subadditive or superadditive integral created by the French mathematician Gustave Choquet in 1953. It was initially used in statistical mechanics and potential theory, but found its way into decision theory in the 1980s, where it is used as a way of measuring the expected utility of an uncertain event. It is applied specifically to …
Nettet1. jul. 2024 · D. Denneberg, "Non-additive measure and integral" , Kluwer Acad. Publ. (1994) [a3] M. Grabisch, H.T. Nguyen, E.A. Walker, "Fundamentals of uncertainity … NettetCreated Date: 4/28/2006 10:37:11 AM
Nettetwhere the integral on the right-hand side is the Choquet integral with respect to a monotonic set function m on S with ¤alues in 40,1 . Our studies were motivated by the work of Schmeidler 5, 6 on integralwx representation without additivity and its applications to the neo-Bayesian model in decision theory. There are also many …
Nettetrepresentation without additivity and its applications to the neo-Bayesian model in decision theory. There are also many publications where the Choquet integral … dodgers season tickets 2022 pricesNettet1. jun. 2024 · In this paper we discuss integral inequalities for collection integrals that are a special subclass of decomposition integrals introduced as a general framework for many non-linear integrals, including the Choquet integral Chebyshev's 1. Introduction Non-linear integrals are currently comprehensively investigated in the literature. dodgers season tickets 2023 priceNettet1. jun. 2000 · Integral representation without additivity Proc. Amer. Math. Soc., 97 ( 1986), pp. 253 - 261 Google Scholar [10] J. Šipoš Non linear integral Math. Slovaca, 29 ( 3) ( 1979), pp. 257 - 270 View in Scopus Google Scholar [11] M. Sugeno, Theory of fuzzy integrals and its applications, Doctoral Thesis, Tokyo Institute of Technology, 1974. … dodgers season tickets 2022 priceNettetIntegral representation without additivity D. Schmeidler Published 1 February 1986 Mathematics Let I be a norm-continuous functional on the space B of bounded Y … eye center of tennessee crossvilleNettet1. apr. 2000 · Integral representation without additivity Proc. Amer. Math. Soc., 97 ( 1986), pp. 255 - 261 View in Scopus Google Scholar 6 D. Schmeidler Subjective … eye center of tennessee jamestownNettetNotice that a quasi-integral I is always homogeneous, i.e., I( a)= I(a)for all 0anda2L, since homogeneity is implied by comonotonic additivity and monotonicity [7]. The rst main result of the paper establishes a one-to-one correspondence be-tween upper-continuous capacities and quasi-integrals. For a given capacity on eye center of tennessee crossville tnNettet10. jul. 2009 · This paper provides a preference foundation for exactly the model of FS with preference conditions that exactly capture the exceptionally good balance of FS. Remarkably, FS is a special case of Schmeidler’s rank-dependent utility for decision under uncertainty. Download to read the full article text References eye center of st augustine in palatka