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Applying Transformation Characteristics to Solve the Multi Objective Linear Fractional Programming Problems


Affiliations
1 Department of Business Administration, Chung Hua University, Hsinchu, Taiwan, Province of China
 

For some management programming problems, multiple objectives to be optimized rather than a single objective, and objectives can be expressed with ratio equations such as return/investment, operating profit/net-sales, profit/manufacturing cost, etc. In this paper, we proposed the transformation characteristics to solve the multi objective linear fractional programming (MOLFP) problems. If a MOLFP problem with both the numerators and the denominators of the objectives are linear functions and some technical linear restrictions are satisfied, then it is defined as a multi objective linear fractional programming problem MOLFPP in this research. The transformation characteristics are illustrated and the solution procedure and numerical example are presented.

Keywords

Transformation Characteristics, MOLFP, MOLFPP.
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  • Chakraborty, M. and Gupta, S. (2002), “Fuzzy mathematical programming for multi objective linear fractional programming problem,” Fuzzy Sets and Systems, Vol. 125, pp. 335-342.

  • Charnes, A. and Cooper, W.W. (1962), “Programming with linear fractionals,” Naval Research Logistics Quarterly, Vol. 9, pp. 181-186.

  • Dutta, D., Tiwari, R.N. and Rao, J.R. (1992), “Multiple objective linear fractional programming－A fuzzy set theoretic approach,” Fuzzy Sets and Systems, Vol. 52, pp. 39-45.

  • Kornbluth, J.S.H. and Steuer, R.E. (1981), “Multiple objective linear fractional programming,” Management Science, Vol. 27, pp. 1024-1039.

  • Li, M., Guo, P., & Ren, C. (2015), “Water resources management models based on two-level linear fractional programming method under uncertainty,” Journal of Water Resources Planning and Management, 141(9), 05015001.

  • Luhandjula, M.K. (1984), “Fuzzy approaches for multiple objective linear fractional optimization,” Fuzzy Sets and Systems, Vol. 13, pp. 11-23.

  • Mishra, B., Nishad, A. K., & Singh, S. R. (2014), “Fuzzy Multi-fractional Programming for Land Use Planning in Agricultural Production System, ” Fuzzy Information and Engineering, 6(2), 245-262.

  • Saha, S. K., Hossain, M. R., Uddin, M. K., & Mondal, R. N. (2015), “ A New Approach of Solving Linear Fractional Programming Problem (LFP) by Using Computer Algorithm,” Open Journal of Optimization, 4(03), 74.

  • Valipour, E., Yaghoobi, M. A., & Mashinchi, M. (2014), “An iterative approach to solve multi objective linear fractional programming problems,” Applied Mathematical Modelling, 38(1), 38-49.

  • Zimmermann, H.J. (1976), “Description and optimization of fuzzy systems,” International Journal of General Systems, Vol. 2, pp. 209-215.

  • Zimmermann, H.J. (1978), “Fuzzy programming and linear programming with several objective functions,” Fuzzy Sets and Systems, Vol. 1, pp. 45-55.


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  • Applying Transformation Characteristics to Solve the Multi Objective Linear Fractional Programming Problems

Abstract Views: 242  |  PDF Views: 126

Authors

Wen Pei
Department of Business Administration, Chung Hua University, Hsinchu, Taiwan, Province of China

Abstract


For some management programming problems, multiple objectives to be optimized rather than a single objective, and objectives can be expressed with ratio equations such as return/investment, operating profit/net-sales, profit/manufacturing cost, etc. In this paper, we proposed the transformation characteristics to solve the multi objective linear fractional programming (MOLFP) problems. If a MOLFP problem with both the numerators and the denominators of the objectives are linear functions and some technical linear restrictions are satisfied, then it is defined as a multi objective linear fractional programming problem MOLFPP in this research. The transformation characteristics are illustrated and the solution procedure and numerical example are presented.

Keywords


Transformation Characteristics, MOLFP, MOLFPP.

References