Uncertain process is a sequence of uncertain variables indexed by time. This paper aims to introduce a kind of uncertain process named uncertain delayed renewal reward process whose interarrival times and rewards (or costs) are regarded as uncertain variables with the first interarrival ( i.e., renewal) time and reward different from the others, respectively. The main results include the uncert...

In order to catch up with reality, all the macro-decisions related to long-term mining production planning must be made simultaneously and under uncertain conditions of determinant parameters. By taking advantage of the chance-constrained programming, this paper presents a stochastic model to create an optimal strategy for producing bimetallic deposit open-pit mines under certain and uncertain ...

An canonical process is stationary independent increment uncertain process whose increments are normal uncertain variables. Uncertain differential equation is a type of differential equation driven by the canonical process. This paper will give a concept of stability in p-th moment for uncertain differential equations. A sufficient and necessary condition for linear uncertain differential equat...

Liu process is a new tool to deal with the noise process based on uncertainty theory. In this paper, we view the foreign exchange rate as an uncertain process, described by an uncertain differential equation driven by Liu process, and build an uncertain currency model. Then the uncertain currency option processes are discussed. Moreover, European and American currency option pricing formulas ar...

Canonical process is a Lipschitz continuous uncertain process with stationary and independent increments, and uncertain differential equation is a type of differential equations driven by canonical process. This paper presents some methods to solve linear uncertain differential equations, and proves an existence and uniqueness theorem of solution for uncertain differential equation under Lipsch...

The rapid changes in the services sector encourage companies to improve processes for developing and delivering new services. An effective service development process is not possible without planning. Business entities can plan their time, organise activities, prioritise tasks according complexity or total duration of process. However, context development, planning aspect still sufficiently emp...

Uncertainty theory is a branch of mathematics based on normolity, duality, subadditivity and product axioms. Uncertain process is a sequence of uncertain variables indexed by time. Canonical Liu process is an uncertain process with stationary and independent increments. And the increments follow normal uncertainty distributions. Uncertain differential equation is a type of differential equation...