صالح آبادی، علی؛ سیار، محسن؛ شهریاری، محسن. (1397). «بهینه سازی پرتفوی در چارچوب مدل پتانسیل مطلوب و ریسک نامطلوب UPM-LPM».
مهندسی مالی و مدیریت اوراق بهادار. 9 (36).129-153
نجفی، امیرعباس؛ پوراحمدی، زهرا. (1394). «بهینه‌سازی پویای سبد سرمایه‌گذاری با توجه به هزینه معاملات». مهندسی مالی و مدیریت اوراق بهادار. 6(24). 152-172.
رستمی، محمدرضا؛ کلانتری بنجار، محمود؛ بهزادی، عادل. (1394). «گشتاورهای مراتب
بالاتر در بهینه‌سازی سبد سهام در محیط فازی». مهندسی مالی و مدیریت اوراق بهادار. 6(24).
41-62.
پاک مرام، عسگر؛ بحری ثالث، جمال؛ ولی زاده، مصطفی. (1396). «انتخاب و بهینه‌سازی سبد سهام با استفاده از الگوریتم ژنتیک، با بهره‌گیری از مدل میانگین-نیمه واریانس مارکویتز». مهندسی مالی و مدیریت اوراق بهادار. 8 (31). 19-42.
رجبی، مهسا؛ خالوزاده، حمید. (1393). «بهینه‌سازی و مقایسۀ سبد سهام در بورس اوراق بهادار تهران با بهرهمندی از الگوریتم‌های بهینه‌سازی تکاملی چندهدفه». فصلنامه علمی-پژوهشی تحقیقات مالی. 16 (2). 253-270.
Arnott, R.D., Wagner, W.H., (1990). The measurement and control of trading costs. Financial Analysts Journal 6, 73–80.
Bawa, V. S. (1975). Optimal rules for ordering uncertain prospects. Journal of Financial Economics, 2(1), 95-121.
Bawa, V. S., & Lindenberg, E. B. (1977). Capital market equilibrium in a mean-lower partial moment framework. Journal of Financial Economics, 5(2), 189-200.
Bertsimas, D., Pachamanova, D., (2008). Robust multiperiod portfolio management in the presence of transaction costs. Computers and Operations Research 35, 3–17.
Calafiore, G. C., & Kharaman, F. (2014, March). Multi-period asset allocation with lower partial moment's criteria and affine policies. In Computational Intelligence for Financial Engineering & Economics (CIFEr), 2104 IEEE Conference on (pp. 100-106). IEEE.
Celikyurt, U., Ozekici, S., (2007). Multi-period portfolio optimization models in stochastic markets using the mean-variance approach. European Journal of Operational Research 1, 186–202.
Cui, X., Gao, J., Li, X., & Li, D. (2014). Optimal multi-period mean–variance policy under no-shorting constraint. European Journal of Operational Research, 234(2), 459-468.
Deb, K., Pratap, A., Agarwal, S., & Meyarivan, T. A. M. T. (2002). A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE transactions on evolutionary computation, 6(2), 182-197.
Deng, X. T., Li, Z. F., & Wang, S. Y. (2005). A minimax portfolio selection strategy with equilibrium. European Journal of operational research, 166(1), 278-292.
Estrada, J. (2002). Systematic risk in emerging markets: the D-CAPM. Emerging Markets Review, 3(4), 365-379.
Fang, Y., & Post, T. (2019). Portfolio Optimization with Higher-order Stochastic Dominance Constraints. Available at SSRN 3376468.
Fishburn, P. C. (1977). Mean-risk analysis with risk associated with below-target returns. American conomic Review, 67(2)
Fulga, C. (2015). Portfolio optimization under loss aversion. European Journal of Operational Research. International Portfolio Diversification Benefits: The Relevance of Emerging Markets
Galagedera, D. U., & Brooks, R. D. (2007). Is co-skewness a better measure of risk in the downside than downside beta? Evidence in emerging market data. Journal of Multinational Financial Management, 17(3), 214-230
Gökgöz, F., & Atmaca, M. E. (2017). Portfolio optimization under lower partial moments in emerging electricity markets: Evidence from Turkey. Renewable and Sustainable Energy Reviews, 67, 437-449.
Gulpınar, N., Rustem, B., Settergren, R., (2003). Multistage stochastic mean-variance portfolio analysis with transaction cost. Innovations, in Financial and Economic Networks 3, 46–63.
Gulpınar, N., Rustem, B., (2007). Worst-case robust decisions for multi-period meanvariance portfolio optimization. European Journal of Operational Research 183,981–1000.
Huang, X., & Qiao, L. (2012). A risk index model for multi-period uncertain portfolio selection. Information Sciences, 217, 108-116.
Iqbal, J., Brooks, R., & Galagedera, D. U. (2007). Robust Tests of the Lower Partial Moment Asset Pricing Model in Emerging Markets (No. 25349). University Library of Munich, Germany.
Jaaman, S. H., Lam, W. H., & Isa, Z. (2011). Higher moment portfolio management with downside risk. American Journal of Social and Management Sciences, 2(2), 220-224.
Jarrow, R., & Zhao, F. (2006). Downside loss aversion and portfolio management. Management Science, 52(4), 558-566.
Jin, H., Markowitz, H., & Yu Zhou, X. (2006). A note on semivariance. Mathematical finance, 16(1), 53-61.
Konno, H., &Wijayanayake, A. (2001).Portfolio optimization problem under concave transaction costs and minimal transaction unit constraints. Mathematical Program-ming, 89(2), 233–250.
Leippold, M., Trojani, F., & Vanini, P. (2004). A geometric approach to multiperiod mean variance optimization of assets and liabilities. Journal of Economic Dynamics and Control, 28(6), 1079-1113.
Li, D., Ng, W.L., (2000). Optimal dynamic portfolio selection: multiperiod meanvariance. Formulation. Mathematical Finance 10, 387–406.
Liu, Y. J., & Zhang, W. G. (2015). A multi-period fuzzy portfolio optimization model with minimum transaction lots. European Journal of Operational Research, 242(3), 933-941.
Markowitz, H. (1952). Portfolio selection. The journal of finance, 7(1), 77-91.
Markowitz, Harry M. Portfolio Selection. (First Edition). New York: John Wiley and Sons, 1959.
Mehrjoo, S., & Jasemi, M. Efficient Frontier and Lower Partial Moment of the First Order. (2012)
Najafi, A. A., & Mushakhian, S. (2015). Multi-stage stochastic mean–semivariance–CVaR portfolio optimization under transaction costs. Applied Mathematics and Computation, 256, 445-458.
Nawrocki, D. N. (1992). The characteristics of portfolios selected by n-degree lower partial moment. International Review of Financial Analysis, 1(3), 195-209.
Nawrocki, D. N. (1999). A brief history of downside risk measures. Journal of Investing, 8, 9-25.
Nawrocki, D., & Staples, K. (1989). A customized LPM risk measure for portfolio analysis. Applied Economics, 21, 205±218.
Nesaz, H. H., Jasemi, M., & Monplaisir, L. (2020). A new methodology for
multi-period portfolio selection based on the risk measure of lower partial moments. Expert Systems with Applications, 144, 113032.
Pınar, M.C., (2007). Robust scenario optimization based on downside-risk measure for multi-period portfolio selection. OR Spectrum 29,
295–309.
Sunoj, S. M. (2018). On Conditional Lower Partial Moments and Its Applications. American Journal of Mathematical and Management Sciences, 37(1), 14-32.
Unser, M. (2000). Lower partial moments as measures of perceived risk: An experimental study. Journal of Economic Psychology, 21(3), 253-280.
Viole, F., & Nawrocki, D. (2016). Predicting risk/return performance using upper partial moment/lower partial moment metrics. Journal of Mathematical Finance, 6(05), 900.
Wei, S.Z., Ye, Z.X., (2007). Multi-period optimization portfolio with bankruptcy control in stochastic market. Applied Mathematics and Computation 186, 414–425
Zhang, W. G., Liu, Y. J., & Xu, W. J. (2012). A possibilistic mean-semivariance-entropy model for multi-period portfolio selection with transaction costs. European Journal of Operational Research, 222(2), 341-349
Zhang, P. (2014). Multi-period Possibilistic Mean Semivariance
Portfolio Selection with Cardinality constraints and its Algorithm.
Journal of Mathematical Modelling and Algorithms in Operations research, 1-15.
)