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An Analysis into the Efficiency of Methods to Solve Flpp

Alka Benny1 , Megha Sukumaran2

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.3 , pp.100-104, Jun-2019


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i3.100104


Online published on Jun 30, 2019


Copyright © Alka Benny , Megha Sukumaran . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: Alka Benny , Megha Sukumaran, “An Analysis into the Efficiency of Methods to Solve Flpp,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.3, pp.100-104, 2019.

MLA Style Citation: Alka Benny , Megha Sukumaran "An Analysis into the Efficiency of Methods to Solve Flpp." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.3 (2019): 100-104.

APA Style Citation: Alka Benny , Megha Sukumaran, (2019). An Analysis into the Efficiency of Methods to Solve Flpp. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(3), 100-104.

BibTex Style Citation:
@article{Benny_2019,
author = {Alka Benny , Megha Sukumaran},
title = {An Analysis into the Efficiency of Methods to Solve Flpp},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {6 2019},
volume = {6},
Issue = {3},
month = {6},
year = {2019},
issn = {2347-2693},
pages = {100-104},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1331},
doi = {https://doi.org/10.26438/ijcse/v6i3.100104}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i3.100104}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1331
TI - An Analysis into the Efficiency of Methods to Solve Flpp
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Alka Benny , Megha Sukumaran
PY - 2019
DA - 2019/06/30
PB - IJCSE, Indore, INDIA
SP - 100-104
IS - 3
VL - 6
SN - 2347-2693
ER -

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Abstract :
In this paper, we first change the fuzzy linear programming problem into the fuzzy linear system of equations. Then a Fourier Motzkin elimination and an interior point technique methods are discussed to solve the above converted fuzzy linear programming problem to find an approximate optimal solution. A comparison is made with the above two methods with other two methods of LPP.

Key-Words / Index Term :
fuzzy variable linear programming, triangular fuzzy number, interior point method, fuzzy set, fuzzy linear system of equations, LPP, fuzzy LPP, graphical method.

References :
[1] A. Nagoor Gani and S. N. Mohamed Assarudeen, “An algorithmic approach of solving linear system using Fourier Motzkin elimination method”, Advances in Fuzzy Sets and Systems, Vol.10, Number 2,2011
[2] A. Nagoor Gani and S. N. Mohamed Assarudeen, “An approximate optimal solution for the Fuzzy Variable Linear Programming Problem using Interior Point Technique”, International Journal of Pure and Applied Mathematics, Vol.85 No.2 2013, 395-404, ISSN: 1311-8080.
[3] S. H. Chen and C. H. Hsieh, Graded mean integration representation of generalized fuzzy number. Chinese Fuzzy System Assoc. 5(2) (1999), 1-7.
[4]M. Friedman, M. Ming and A. Kandel, Fuzzy Sets and Systems,201-209. 1998
[5]Alexander Schjver, Theory of Linear and Integer Programming. John Wiley and Sons Ltd., 1998.

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