Uncertain programming models for capital budgeting subject to experts' estimations

This paper discusses capital budgeting problem in uncertain environment, in which investment outlays and annual net cash flows of available projects are given subject to experts' estimations. Net present value (NPV) is extended to uncertain environment. As a result, three mathematical models are constructed for the problem, i.e., expected value model, chance-constrained programming model and chance-measure programming model. After that, some crisp equivalences are also discussed for different models. In addition, a hybrid intelligent algorithm for solving the proposed models in general cases is presented. To illustrate the modeling idea and the effectiveness of the proposed algorithm, some numerical examples are provided.

[1]  Arthur J. Keown,et al.  A Chance-Constrained Integer Goal Programming Model for Capital Budgeting in the Production Area , 1980 .

[2]  Baoding Liu.  Some Research Problems in Uncertainty Theory , 2009 .

[3]  Xiaoxia Huang,et al.  Chance-constrained programming models for capital budgeting with NPV as fuzzy parameters , 2007 .

[4]  Yuan Gao,et al.  On Liu's Inference Rule for Uncertain Systems , 2010, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[5]  Baoding Liu,et al.  Theory and Practice of Uncertain Programming , 2003, Studies in Fuzziness and Soft Computing.

[6]  Bo Zhang,et al.  Uncertain programming models for portfolio selection with uncertain returns , 2015, Int. J. Syst. Sci..

[7]  Baoding Liu,et al.  Chance constrained integer programming models for capital budgeting in fuzzy environments , 1998, J. Oper. Res. Soc..

[8]  Samarjit Kar,et al.  Uncertainty Theory Based Novel Multi-Objective Optimization Technique Using Embedding Theorem with Application to R & D Project Portfolio Selection , 2010 .

[9]  Xiaowei Chen,et al.  A numerical method for solving uncertain differential equations , 2013, J. Intell. Fuzzy Syst..

[10]  Bo Zhang,et al.  Uncertain programming model for uncertain optimal assignment problem , 2013 .

[11]  John W. Mamer,et al.  A constrained capital budgeting problem with applications to repair kit selection , 1987 .

[12]  Dorota Kuchta,et al.  Fuzzy capital budgeting , 2000, Fuzzy Sets Syst..

[13]  Da Ruan,et al.  Capital budgeting techniques using discounted fuzzy versus probabilistic cash flows , 2002, Inf. Sci..

[14]  Yuanguo Zhu,et al.  Please Scroll down for Article Cybernetics and Systems Uncertain Optimal Control with Application to a Portfolio Selection Model Uncertain Optimal Control with Application to a Portfolio Selection Model , 2022 .

[15]  Juite Wang,et al.  A fuzzy set approach for R&D portfolio selection using a real options valuation model , 2007 .

[16]  Baoding Liu,et al.  Hybrid Logic and Uncertain Logic , 2009 .

[17]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[18]  Kai Yao,et al.  A New Option Pricing Model for Stocks in Uncertainty Markets , 2011 .

[19]  Xiaoxia Huang.  Mean-variance model for fuzzy capital budgeting , 2008, Comput. Ind. Eng..

[20]  Baoding Liu,et al.  Uncertainty Theory - A Branch of Mathematics for Modeling Human Uncertainty , 2011, Studies in Computational Intelligence.

[21]  Jin Peng,et al.  Risk metrics of loss function for uncertain system , 2013, Fuzzy Optim. Decis. Mak..

[22]  Jinwu Gao,et al.  Fuzzy Chance-Constrained Programming for Capital Budgeting Problem with Fuzzy Decisions , 2005, FSKD.

[23]  James C. T. Mao,et al.  SURVEY OF CAPITAL BUDGETING: THEORY AND PRACTICE , 1970 .

[24]  Bo Zhang,et al.  Uncertain Programming Model for Chinese Postman Problem with Uncertain Weights , 2012 .

[25]  G. Schiefer.  A linear approach for solving stochastic capital budgeting problems , 1982 .

[26]  Sanjay Mehrotra,et al.  Stochastically weighted stochastic dominance concepts with an application in capital budgeting , 2014, Eur. J. Oper. Res..

[27]  Doyoung Kim.  Capital budgeting for new projects: On the role of auditing in information acquisition , 2006 .

[28]  A Note on the Application of Linear Programming to Capital Budgeting , 1968 .

[29]  Capital budgeting model with flexible budget , 1994 .

[30]  Baoding Liu.  Uncertain Set Theory and Uncertain Inference Rule with Application to Uncertain Control , 2010 .

[31]  Martin E. Ruckes,et al.  Intertemporal capital budgeting , 2012 .

[32]  Meir J. Rosenblatt,et al.  Generating the Discrete Efficient Frontier to the Capital Budgeting Problem , 1989, Oper. Res..

[33]  Rodolfo C. Salazar,et al.  A Simulation Model of Capital Budgeting Under Uncertainty , 1968 .

[34]  Baoding Liu.  Why is There a Need for Uncertainty Theory , 2012 .

[35]  Ching-Ter Chang,et al.  Multicriteria decision-making based on goal programming and fuzzy analytic hierarchy process: An application to capital budgeting problem , 2012, Knowl. Based Syst..

[36]  D. Acharya,et al.  A Chance-Constrained Goal Programming Model for Capital Budgeting , 1982 .

[37]  Xiaoxia Huang.  Portfolio selection with fuzzy returns , 2007, J. Intell. Fuzzy Syst..

[38]  Baoding Liu.  Uncertain Logic for Modeling Human Language , 2011 .

[39]  X. Chen,et al.  Existence and uniqueness theorem for uncertain differential equations , 2010, Fuzzy Optim. Decis. Mak..