Coalitional game deals with situations that involve cooperations among the players. There are different solution concepts such as core, Shapley value and nucleolus. This paper investigates uncertain coalitional game in which the payoffs are uncertain variables. Within the framework of uncertainty theory, two definitions of uncertain core are proposed. Meanwhile, a sufficient and necessary condi...

rapid technological and economic growth over the last several decades has changed human lives and made modern society face complex decision making problems. these kinds of problems are characterized by incommensurate and conflicting criteria or objectives such as cost, reliability, performance, safety and productivity. multi criteria decision making is an approach that can be used to deal compl...

Based on the multidimensional uncertain optimal control problem with jump, in this paper, a kind of special multidimensional uncertain optimal control problem: multidimensional uncertain linear-quadratic (LQ) optimal control problem with jump which has a quadratic objective function for a multidimensional uncertain linear control system with jump is studied. A necessary and sufficient condition...

Intolerance of uncertainty (IU) has been proposed to be an important maintaining factor in several anxiety disorders, including generalized anxiety disorder, obsessive-compulsive disorder, and social phobia. While IU has been shown to predict subjective ratings and decision-making during uncertain/ambiguous situations, few studies have examined whether IU also predicts emotional responding to u...

The life of many people in the world is under the danger because of the accidents and unpredicted diseases, which require relief. Since, most of such cases occur in unpredictable condition, for an appropriate planning, the uncertain conditions should be investigated. Consequently, this paper investigates the integrated and multi-step process of locating, assigning and routing the air and la...

People avert uncertain situations more than certain ones, and the neural correlates of such acts have gained increasing attention in past decade. However, the electrophysiological bases of how subjects respond to uncertain cues, and how such cues affect subsequent outcome evaluations have rarely been explored. In the present study, participants completed a gambling task while their neural activ...

Uncertainty theory is a mathematical methodology for dealing withnon-determinate phenomena in nature. As we all know, uncertainprocess and uncertain integral are important contents of uncertaintytheory, so it is necessary to have deep research. This paperpresents the definition and discusses some properties of strongcomonotonic uncertain process. Besides, some useful formulas ofuncertain integr...

Uncertain delay differential equation (UDDE) is a type of differential equations driven by Liu process. It has been proved that uncertain delay differential equation has a unique solution in the finite domain, under the conditions that the coefficients are global Lipschitz continuous. This paper will extend this existence and uniqueness theorem from finite domain to infinite domain under the lo...

This paper develops the deterministic approach to duality for semi-definite linear programming problems in the face of data uncertainty. We establish strong duality between the robust counterpart of an uncertain semi-definite linear programming model problem and the optimistic counterpart of its uncertain dual. We prove that strong duality between the deterministic counterparts holds under a ch...

On the quadratic stabilization of uncertain linear time varying systems by means of linear state variable feedback, Wei introduced the concept of antisymmetric stepwise configuration (ASC) and proved that having this configuration is a necessary and sufficient condition for uncertain linear systems to be quadratically stabilizable by means of a linear state variable feedback. However, because h...