Solving a Multi Objective Linear Programming Problem Using Pentagonal Fuzzy Numbers

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2017 by IJMTT Journal
Volume-41 Number-3
Year of Publication : 2017
Authors : Dr A. Sahaya sudha, S.Sathya, S.Vimalavirginmary
  10.14445/22315373/IJMTT-V41P527

MLA

Dr A. Sahaya sudha, S.Sathya, S.Vimalavirginmary "Solving a Multi Objective Linear Programming Problem Using Pentagonal Fuzzy Numbers ", International Journal of Mathematics Trends and Technology (IJMTT). V41(3):279-282 January 2017. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
The level sum method is based on the multi objective linear programming problem(MOLPP) and here pentagon fuzzy numbers is used for computing an optimal solution to the fuzzy linear programming problem(FLPP) without ranking functions. This is illustrated with a numerical example.

References
[1] Buckley and T. Feuring, Evolutionary algorithm solution to fuzzy problemsFuzzy linear programming, Fuzzy Sets and Systems, 109(2000), 35-53.
[2] Chandrasekaran.S, Juno Saju A approach to solve Multi Objective Fuzzy linearProgramming, Engineering& Technology, Vol. 3, 2348 – 7968.
[3] Helen.R & Uma.G, A new operation and ranking on pentagon fuzzy numbers.
[4] P. Pandian, A simple approach for finding a fair solution to multiobjective Programming problems, Bulletin of Mathematical Sciences & Applications1(2012), 25 – 30.
[5] P.andian, Multi objective programming Approach for Fuzzy Linear Programming Problems, 37(2013), 1811 -1817.
[6] H. Tanaka, T, Okuda and K. Asia, On fuzzy mathematical programming, Journal of Cybernetics and Systems, 3(1973), 37-46.
[7] P. A. Thakre1, D. S. Shelar and S. P. Thakre, Solving fuzzy linear programming problem as multi objective linear programming problem, Journal of Engineering and Technology Research , 2(2009), 82-85.
[8] H. J. Zimmerman, Fuzzy programming and linear programming with several Objective functions, Fuzzy Sets and Systems, 1(1978), 45-55.
[9] G. Zhang, Y. H. Wu, M. Remias and J. Lu, Formulation of fuzzy linearProgramming problems as four-objective constrained optimization problems,Applied Mathematics and Computation, 139(2003), 383-399.

Keywords
Multi objective linear programming problem(MOLPP), pentagonal fuzzy numbers, Level sum method.