Chance constrained integer programming models for capital budgeting in fuzzy environments

This paper attempts to model capital budgeting problems by chance constrained integer programming in a fuzzy environment (rather than a stochastic environment). Some examples are also provided to illustrate the potential applications of new models. Finally, a fuzzy simulation based genetic algorithm is designed for solving chance constrained integer programming models with fuzzy parameters.

[1]  D. Dubois,et al.  FUZZY NUMBERS: AN OVERVIEW , 1993 .

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

[3]  A. Charnes,et al.  Goal programming and multiple objective optimizations: Part 1 , 1977 .

[4]  A. Charnes,et al.  Chance-Constrained Programming , 1959 .

[5]  David B. Fogel,et al.  An introduction to simulated evolutionary optimization , 1994, IEEE Trans. Neural Networks.

[6]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1996, Springer Berlin Heidelberg.

[7]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[8]  Baoding Liu,et al.  A genetic algorithm for chance constrained programming , 1996 .

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

[10]  Baoding Liu,et al.  Chance constrained programming with fuzzy parameters , 1998, Fuzzy Sets Syst..

[11]  L. S. Ganesh,et al.  An empirical analysis of the use of the Analytic Hierarchy Process for estimating membership values in a fuzzy set , 1996, Fuzzy Sets Syst..

[12]  L. Zadeh.  Fuzzy sets as a basis for a theory of possibility , 1999 .

[13]  Arthur J. Keown,et al.  A Chance Constrained Goal Programming Model for Working Capital Management , 1977 .

[14]  Evangelos Triantaphyllou,et al.  An evaluation of the eigenvalue approach for determining the membership values in fuzzy sets , 1990 .

[15]  Baoding Liu,et al.  A note on chance constrained programming with fuzzy coefficients , 1998, Fuzzy Sets Syst..

[16]  A. Charnes,et al.  Management Models and Industrial Applications of Linear Programming , 1961 .

[17]  Kevin Otto,et al.  Constructing membership functions using interpolation and measurement theory , 1995 .