Partial pseudo-triangular entropy of uncertain random variables with application to portfolio risk management

International Journal of Mathematical Modelling & Computations

دوره 13، 1 (WINTER) - شماره پیاپی 49، خرداد 2023

نوع مقاله: Full Length Article

شناسه دیجیتال (DOI): 10.30495/ijm2c.2023.1976544.1264

نویسنده

Seyyed Hamed Abtahi^*

Bank Pasargad Investment Company, Mirdamad Blvd, Tehran, Iran.

چکیده

In this paper, the concept of partial pseudo-triangular entropy as a superior measure of indeterminacy for uncertain random variables is proposed. It is first proved that partial entropy and partial triangular entropy sometimes fail to measure the indeterminacy of an uncertain random variable. Then, the concept of partial pseudo-triangular entropy and its mathematical properties are investigated. To illustrate the outperformance of partial pseudo-triangular entropy as a measure of risk, a portfolio optimization problem is optimized via different types of entropy. Furthermore, a genetic algorithm (GA) is implemented in MATLAB to solve the corresponding problem. Numerical results show that partial pseudo-triangular entropy as a quantifier of portfolio risk outperforms partial entropy and partial triangular entropy in the uncertain random portfolio optimization problem.

کلیدواژه‌ها

Chance theory؛ Uncertain random variable؛ Partial entropy؛ Partial pseudo-triangular entropy؛ Portfolio optimization