...

  • Home
  • Articles
    • Current Issue
    • Archives
  • Authors
    • Author Guidelines
    • Policies
    • Downloads
  • Editors
  • Reviewers
...

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 43 | Number 1 | Year 2017 | Article Id. IJMTT-V43P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V43P506

Fourier Motzkin Elimination Algorithm of Hexagonal Fuzzy Number for Solving Fuzzy Linear Programming Problem


K.Arumugam, R.Abdul Saleem, K.Sugantha
Abstract

In this paper, we introduce a hexagonal fuzzy number solving a Fuzzy LPP using Fourier Motzkin elimination method. The main objective of this paper is first we change the fuzzy linear programming problem into fuzzy linear system of equations. Then a Fourier Motzkin elimination algorithm used to discussed to solve the above converted fuzzy linear system of equations.

Keywords
Hexagonal fuzzy number, Fourier Motzkin elimination method, fuzzy linear programming problem.
References

[1] Dr. Mrs. A . Sahayasudha and Mrs . M.Ravathy (2016) “A new Ranking on hexagonal fuzzy number. International journal of fuzzy logic systems,vol.6,No.4,pp1-8.
[2] Nasseri.H (2008), “Fuzzy Numbers :positiveandnegative”,International Mathematical Fourn,vol 3,No.36,pp1777- 1780.
[3] P. Rajarajeswari, A. sahayasudha and R.karthika. “A new operation on Hexagonalfuzzy number”.International Journal of fuzzy logic system,vol.3,No.3,2013.pp 15-26.
[4] J.B.J. Fourier, Soiution d’ une question particuliere.ducalculdesnegalities,1826,andextractsfrom,”Histoiredel’,Acadamic’’,1823,1824,Oeuvres,pp;317-328.
[5]. George Bernard Dantzig and RichardCottle, The Basic George B.Dantzigstanforduniversity press, California, 2008.
[6] H.W. Kuhn, 1956. Solvability and consistency for linear equations and Inequalities, Amer.math.Monthly, 43, 217-232.
[7] T.S. Motzkin,.Beitragezurtheorie der linear en ungleichugen, Doctoral thesis.univercity of Bessel.( 1934).
[8] M.Friedman, M. Ming and A. Kandal,. Fuzzy linear systems, Fuzzy sets and systems, 961998), 201-209.
[9] L.A.Zadeh,.. The concept of a linguistic variable and its applications to approxi;matereasonings- Parts I,II,III, Inform.sci., 8(1975), 199-249;8(1975), 301-357;9(1976),43-80.
[10].Bellman, R.E. and Zadeh, L.A..Decision making in a fuzzy environment. Management sciences, 17(1970), pp:141- 164.
[11] A. Thamaraiselvi and R,santhi, “optimal soltion of fuzzy transportation problem using hexagonal fuzzy numbers” International jornlofscientificand engineering Reasearchvol.6(2015), pp(40-45).
[12] A,sahayasudha and K.R vijalashmi, “A modern approach in Ranking of symmetric hexagonal fuzzy number”,Arayabhatta Journal of Mathematics and Informatics Vol ,2016 pp:42-49.

Citation :

K.Arumugam, R.Abdul Saleem, K.Sugantha, "Fourier Motzkin Elimination Algorithm of Hexagonal Fuzzy Number for Solving Fuzzy Linear Programming Problem," International Journal of Mathematics Trends and Technology (IJMTT), vol. 43, no. 1, pp. 28-32, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V43P506

  • PDF
  • Abstract
  • Keywords
  • References
  • Citation
Abstract Keywords References Citation
  • Home
  • Authors Guidelines
  • Paper Submission
  • APC
  • Archives
  • Downloads
  • Open Access
  • Publication Ethics
  • Copyrights Infringement
  • Journals
  • FAQ
  • Contact Us

Follow Us

Copyright © 2025 Seventh Sense Research Group® . All Rights Reserved