论文信息 - A note on indefinite integrals and absolute continuity for fuzzy-valued mappings - 字舞流文

A note on indefinite integrals and absolute continuity for fuzzy-valued mappings

Abstract This note is to define the absolute continuity for fuzzy-valued mappings and to give the necessary and sufficient conditions for the Newton–Leibniz formula to hold.

[1] Paul Weldon Lewis. On Bounded Variation , 1966 .

[2] M. Puri,et al. Convergence theorem for fuzzy martingales , 1991 .

[3] Congxin Wu,et al. Bounded variation, absolute continuity and absolute integrability for fuzzy-number-valued functions , 2002, Fuzzy Sets Syst..

[4] Osmo Kaleva. Fuzzy differential equations , 1987 .

[5] R. Aumann. INTEGRALS OF SET-VALUED FUNCTIONS , 1965 .

[6] Yuhu Feng,et al. Mean-square integral and differential of fuzzy stochastic processes , 1999, Fuzzy Sets Syst..

[7] M. Puri,et al. Fuzzy Random Variables , 1986 .

[8] Yuhu Feng. Convergence theorems for fuzzy random variables and fuzzy martingales , 1999, Fuzzy Sets Syst..

[9] P. Kloeden,et al. Metric Spaces of Fuzzy Sets: Theory and Applications , 1994 .

[10] Yuhu Feng. Fuzzy-valued mappings with finite variation, fuzzy-valued measures and fuzzy-valued Lebesgue-Stieltjes integrals , 2001, Fuzzy Sets Syst..