Constructing Fuzzy Random Goal Constraints for Stochastic Fuzzy Goal Programming

This paper attempts to estimate the coefficient of the goal constraints through a fuzzy random regression model which plays a pivotal role in solving a stochastic fuzzy additive goal programming.We propose the two phase-based solutions; in the first phase, the goal constraints are constructed by fuzzy random-based regression model and, in the second phase, the multi-objective problem is solved with a stochastic fuzzy additive goal programming model. Further, we apply the model to a multi-objective decision-making scheme’s use in palm oil production planning and give a numerical example to illustrate the model.

[1]  James P. Ignizio,et al.  Linear Programming in Single- and Multiple-Objective Systems , 1984 .

[2]  Paul E. Green,et al.  Conjoint Analysis in Marketing: New Developments with Implications for Research and Practice , 1990 .

[3]  R. Tiwari,et al.  Fuzzy goal programming- an additive model , 1987 .

[4]  Yian-Kui Liu,et al.  Fuzzy Random Variables: A Scalar Expected Value Operator , 2003, Fuzzy Optim. Decis. Mak..

[5]  R. Narasimhan GOAL PROGRAMMING IN A FUZZY ENVIRONMENT , 1980 .

[6]  S. M. Junaid Zaidi,et al.  Linear Programming in Single and Multiple Objective Systems , 1982 .

[7]  Janusz Kacprzyk,et al.  Views on Fuzzy Sets and Systems from Different Perspectives , 2009 .

[8]  Marc J. Schniederjans,et al.  Goal Programming: Methodology and Applications , 2010 .

[9]  Alexander Schrijver,et al.  Handbook of Critical Issues in Goal Programming , 1992 .

[10]  Carlos Henggeler Antunes,et al.  Multiple objective linear programming models with interval coefficients - an illustrated overview , 2007, Eur. J. Oper. Res..

[11]  Bruno Contini,et al.  A Stochastic Approach to Goal Programming , 1968, Oper. Res..

[12]  Marc J. Schniederjans Goal Programming Applications , 1995 .

[13]  T. Saaty,et al.  The Analytic Hierarchy Process , 1985 .

[14]  Michio Sugeno,et al.  Applied fuzzy systems , 1994 .

[15]  H. Pastijn Handbook of critical issues in goal programming: Carlos Romero Pergamon Press, Oxford, 1990, xi + 124 pages, £25.00, ISBN 008 0406610 , 1992 .

[16]  Jati K. Sengupta,et al.  Stochastic goal programming with estimated parameters , 1979 .

[17]  Piero Risoluti Fuzzy Sets, Decision Making, and Expert Systems , 2004 .

[18]  J. Watada,et al.  Building fuzzy random objective function for interval fuzzy goal programming , 2010, 2010 IEEE International Conference on Industrial Engineering and Engineering Management.

[19]  C. D. Edwards Appraisal of “Fair Trade” and “Unfair Practices” Acts , 1940 .

[20]  Yian-Kui Liu,et al.  Expected value of fuzzy variable and fuzzy expected value models , 2002, IEEE Trans. Fuzzy Syst..

[21]  A. Skowron,et al.  Methodology and applications , 1998 .

[22]  Maged George Iskander,et al.  A fuzzy weighted additive approach for stochastic fuzzy goal programming , 2004, Appl. Math. Comput..

[23]  Witold Pedrycz,et al.  Building Confidence-Interval-Based Fuzzy Random Regression Models , 2009, IEEE Transactions on Fuzzy Systems.

[24]  Marc J. Schniederjans,et al.  An application of linear goal programming to the marketing distribution decision , 1991 .

[25]  E. Hannan Linear programming with multiple fuzzy goals , 1981 .

[26]  Junzo Watada,et al.  Regression Model Based on Fuzzy Random Variables , 2008, KES.