The real life decisions are usually made in the state of uncertainty. This fact providesa motivation to study the behavior of uncertain phenomena. In order to deal withsubjective uncertainty, Liu (2007) founded an uncertainty theory that is a branch ofmathematics based on normality, monotonicity, self-duality, countable subadditivity,and product measure axioms. After that, u...

Uncertain differential equation with jumps is a type of differential equations driven by both Liu process and the uncertain renewal process. Stability of uncertain differential equation with jumps, playing an important role in uncertain differential equation with jumps, means insensitivity of the state of a system with a small changes in the initial state. This paper focuses on the stability in...

Data envelopment analysis (DEA) is an effective method to evaluate the relative efficiency of decision-making units (DMUs). In one hand, the DEA models need accurate inputs and outputs data. On the other hand, in many situations, inputs and outputs are volatile and complex so that they are difficult to measure in an accurate way. The conflict leads to the researches of uncertain DEA models. Thi...

In this paper, some multi-item imperfect production-inventory models without shortages for defective and deteriorating items with uncertain/ imprecise holding and production costs and resource constraint have been formulated and solved for optimal production. Here, the rate of production is assumed to be a function of time and considered as a control variable. Also the demand is time dependent ...

Dempster Shafer theory of evidence (DS theory) and possibility theory are two main formalisms in modelling and reasoning with uncertain information. These two theories are inter-related as already observed and discussed in many papers (e.g. [DP82,DP88b]). One aspect that is common to the two theories is how to quantitatively measure the degree of conflict (or inconsistency) between pieces of un...

Uncertain variable is defined as a measurable function from an uncertainty space to the set of real numbers for describing subjective uncertain phenomena, which is employed to characterize the element, component and system lifetimes in this paper. Within the framework of uncertainty theory, reliability measure and percentile lifetime are defined to measure the system reliability in this paper. ...

The transformation method has been proposed as a practical tool for the simulation and the analysis of systems with uncertain parameters using fuzzy arithmetic. A major advantage of this method, among others, is the fact that in the analysis part of the method, the degree of influence for each uncertain parameter can be computed with a rather simple formula. However, a thorough examination of h...

To deal with the uncertain network public sentiment emergency of which attribute represented by intuitionistic fuzzy language term, we present a new information entropy measure for intuitionistic fuzzy value. By using the entropy measure, the weight of each sentiment attribute of emergency can be determined. Then by means of the information fusion technique of intuitionistic fuzzy sentiment att...

The paper considers parametric uncertain systems of the form ẋ t Mx t ,M ∈ M,M ⊂ Rn×n, where M is either a convex hull, or a positive cone of matrices, generated by the set of vertices V {M1,M2, . . . ,MK} ⊂ Rn×n. Denote by μ‖ ‖ the matrix measure corresponding to a vector norm ‖ ‖. When M is a convex hull, the condition μ‖ ‖ Mk ≤ r < 0, 1 ≤ k ≤ K, is necessary and sufficient for the existence ...