The portfolio models of contained grey profit under uncertainty

Abstract

Purpose

The purpose of this paper is to establish the portfolio models of contained grey profit under uncertainty, and the results are applied to solve uncertain investment problem.

Design/methodology/approach

In investment problems, uncertainties may exist in model parameters and input data. For the investment problems contained grey profit and incomplete information about natural world state, according to the portfolio theory, the grey systems theory and the uncertainty decision theory, the paper puts forward portfolio models and the methods.

Findings

Traditional uncertainty decision is researched for incomplete information about natural world state, in reality, investment problems are not only uncertain state information, but income are uncertain.

Practical implications

Because the investment problems have been widely used in economic analysis, decision analysis and economic management, examples are provided at the end to verify its feasibility.

Originality/value

The paper successfully combined the portfolio theory, the gray system theory and uncertainty decision theory and new uncertainty investment decision-making models and methods are presented.

Citation

Yan, X.-z. and Song, Z.-m. (2014), "The portfolio models of contained grey profit under uncertainty", Grey Systems: Theory and Application, Vol. 4 No. 3, pp. 487-494. https://doi.org/10.1108/GS-09-2014-0035