Modeling Financial Data Using Risk Measures with Interval Analysis Approach

In this paper we construct some new measures which can be used for risk assessment and optimization. Due to the random character of economic phenomena, modeling financial data by real numbers does not perform accurately in decision making problems under uncertainty. First we introduce some concepts related to interval analysis, by replacing real numbers with interval numbers. Using these concepts, some risk measures are defined in this new framework. The theoretical results obtained are used to solve a case study. Computational results are provided.