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Linear Fractional Programming Procedure for Multi objective linear programming problem in Agricultural System

by Babita Mishra, S. R. Singh
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 61 - Number 20
Year of Publication: 2013
Authors: Babita Mishra, S. R. Singh
10.5120/10200-5010

Babita Mishra, S. R. Singh . Linear Fractional Programming Procedure for Multi objective linear programming problem in Agricultural System. International Journal of Computer Applications. 61, 20 ( January 2013), 45-52. DOI=10.5120/10200-5010

@article{ 10.5120/10200-5010,
author = { Babita Mishra, S. R. Singh },
title = { Linear Fractional Programming Procedure for Multi objective linear programming problem in Agricultural System },
journal = { International Journal of Computer Applications },
issue_date = { January 2013 },
volume = { 61 },
number = { 20 },
month = { January },
year = { 2013 },
issn = { 0975-8887 },
pages = { 45-52 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume61/number20/10200-5010/ },
doi = { 10.5120/10200-5010 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:10:11.057616+05:30
%A Babita Mishra
%A S. R. Singh
%T Linear Fractional Programming Procedure for Multi objective linear programming problem in Agricultural System
%J International Journal of Computer Applications
%@ 0975-8887
%V 61
%N 20
%P 45-52
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper presents a linear fractional programming approach for solving multi objective linear programming problem. We develop a model to solve multi objective linear programming problem into fractional programming problem and proposed a method for linearization of a fractional objective. In particular, we consider the optimization of ratio of profit and cash expenditure as fractional objective and used rest of objectives as constraints by obtaining aspiration levels. As the objectives are conflicting in nature, we used the concept of conflict and non conflict between objectives for computation of appropriate aspiration level. The method is illustrated on a problem of agricultural production system to show its suitability.

References
  1. Biswas A, Pal B. B, Application of fuzzy goal programming technique to land use planning in agricultural system, Omega. 33: 2005; 391-398.
  2. Chakraborty M, Sandipan Gupta, Fuzzy mathematical programming for multi objective linear fractional programming problem, Fuzzy Sets and Systems. 125: 2002; 335-342.
  3. Charnes A, Cooper W. W. , Programming with linear fractional functionals, Naval Res. Logistics Quart. 9: 1962; 181-186.
  4. Cohon J. L. , Multiobjective programming and planning, Academic Press, New York;1978.
  5. Craven B. D. , Fractional Programming, Heldermann Verlag, Berlin,1988.
  6. Craven B. D. , B. Mond, On fractional programming and equivalence, Nav. Res. Logistics Quart. 22: 1975; 405-410.
  7. Dutta D, Tiwari R. N. ,. Rao J. R. ,Multiple objective linear fractional programming-A fuzzy set theoric approach, Fuzzy Sets and Systems. 52: 1992; 39-45.
  8. Kao C, Liu S. T. , Fractional programming approach to fuzzy weighted average, Fuzzy Sets and Systems. 120: 2001; 435-444.
  9. Kornbluth J. S. H. , Steuer R. E. , Goal programming with linear fractional criteria, European Jour. Oper. Res. 8: 1981; 58-65.
  10. Kornbluth J. S. H, Steuer R. E. , Multiple objective linear fractional programming, Management Sciences. 27 (9): 1981; 1024-1039.
  11. Lai Y. J. , Hwang C. L. , Fuzzy multiple objective Decision making, Springer: New York; 1994.
  12. Luhandjula M. K. , Fuzzy approaches for multiple objective linear fractional optimization, Fuzzy Sets and Systems. 13: 1984; 11-23.
  13. Mehrjerdi, Y. Z. Solving fractional programming problem through fuzzy goal setting and approximation, Applied Soft Computing, 2010, doi: 10. 1016/ j. asoc. 2010. 05. 016.
  14. Mohanty B. K. ,Vijayaraghavan T A S. , A multiobjective programming problem and its equivalent goal programming problem with approprite priorities and aspiration levels:A fuzzy approach,Computers Ops. Res. 22(8): 1995; 771-778.
  15. Nykowski I, Zolkiewski Z. , A compromise procedure for the multiple objective linear fractional programming problem, European J. Oper. Res. 19: 1985; 91-97.
  16. Ohta H, T. Yamaguchi, Linear fractional goal programming in consideration of fuzzy solution, European J. Oper. Res. 92:1996; 157-165.
  17. Pal B. B. ,Moitra B. N. , Maulik U, A goal programming procedure for fuzzy multiobjective linear fractional programming problem, Fuzzy Sets and Systems. 139: 2003; 395-405.
  18. Schiable S. , Fractional Programming: A survey, Z. Operations Res. , 24: 1980.
  19. Stancu-Minasian I. M. , Bogdana Pop, On a fuzzy set approach to solving multiple objective linear fractional programming problem, Fuzzy Sets and Systems. 134: 2003;397-405.
  20. Stanojevic B. , Stancu-Minasian I. M. , On solving fully fuzzified linear fractional programs, Advanced Modelling and Optimization. 11(4):2009; 503-523.
  21. Zeng X, Kang S, . Li F, L. Zhang, P. Guo, Fuzzy multiobjective linear programming applying to crop area planning, Agricultural Water Management. 98: 2010; 134-142.
  22. Zimmermann H. J. , Fuzzy programming and linear programming with several objective functions, Fuzzy Sets and Systems. 1: 1978; 45-55.
Index Terms

Computer Science
Information Sciences

Keywords

Fractional programming Multi objective programming problem Fuzzy goal programming Conflict and non conflict Land-use planning

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