Uncertain coalitional game deals with situations in which the transferable payoffs are uncertain variables. The uncertain core has been proposed as the solution of uncertain coalitional game. This… (More)

*Correspondence: yangxf14@mails.tsinghua.edu.cn Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China Abstract Uncertain differential equations have been widely applied to… (More)

Uncertain set theory is a generalization of uncertainty theory that has become a new branch of mathematics for modeling human belief degrees. Uncertain set is a fundamental concept to describe… (More)

For uncertain differential equations, we cannot always obtain their analytic solutions. Early researchers have described the Euler method and Runge–Kutta method for solving uncertain differential… (More)

In this paper, we study the stochastic integration with respect to local times of fractional Brownian motion B with Hurst index 1/2 < H < 1. As a related problem we define the weighted quadratic… (More)

Let {Xn}n≥1 be a sequence of i.i.d. standard Gaussian random variables, let Sn = ∑n i=1 Xi be the Gaussian random walk, and let Tn = ∑n i=1 Si be the integrated (or iterated) Gaussian random walk. In… (More)

We consider probability measures µ n , µ on a metric space X such that µ n weakly converges to µ. The following convergence lim n→∞ X f n (x)µ n (dx) = X f (x)µ(dx) is proved under some restrictions… (More)

The debate of “short-termism” has gained increasing interests from various fields, ranging from management to economics; it mainly concerns the decisions or actions taken by businesses that might… (More)