Ranking of Heptagonal Fuzzy Number Method to Solve Balanced Zero Assignment Problem

Authors

  • S. Menakadevi  M.Sc Mathematics, Department of Mathematics, Dr. SNS Rajalakshmi college of Arts &Science, Coimbatore, Tamil Nadu, India
  • B. Abarna  M.Sc Mathematics, Department of Mathematics, Dr. SNS Rajalakshmi college of Arts &Science, Coimbatore, Tamil Nadu, India
  • R.Tharani  

Keywords:

Fuzzy number, Robust ranking technique, Membership function, Fuzzy assignment problem, Optimal cost.

Abstract

In this paper we consider the balanced zero assignment problem is formulated to the crisp assignment problem in the linear programming form and solved by Hungarian method and using Robust ranking method for the heptagonal fuzzy numbers. The numerical example is shown to find optimal cost and fuzzy optimal cost.

References

  1. Kadhirvel. K, Balamurugan.k, Method for solving unbalanced Assignment Problems Using Triangular Fuzzy Numbers Vol. 3, Issue 5, Sep-Oct 2013, pp.359-363.
  2. Sangeetha.K, HaseenaBegum.H, Pavithra.M, Ranking Of Triangular Fuzzy Number Method To Solve An Unbalanced Assignment Problem Vol2, No. 8, August 2014.
  3. Er. Prem Kumar Gupta & Dr. D.S. Hira, 2014. Operation Research: Seventh Revised Edition ISBN: 81-219-0281-9.
  4. Malini.P, Ananthanarayanan.M, Solving Fuzzy Transportation Problem Using Ranking Of Octagonal Fuzzy Numbers Vol 110, No.2 2016, 275-282.
  5. Dr.IsmailMohideen.S, PrasannaDevi.K, Devi Durga.M, Fuzzy Transportation Problem Of Octagon Fuzzy Numbers With ?-Cut And Ranking Technique Vol. 1, Issue. 2, July-2016, Pg. 60-67.
  6. S. Chandrasekaran, "Ranking of heptagon number using zero suffix method," International Journal: Science and Research, vol. 4, pp. 2319-7064, 2013.
  7. R. J. Timothy, Fuzzy logic with engineering applications. New Mexico, USA: John Wiley & Sons, 2004.
  8. S. Poonam, "Fuzzy transportation problem of triangular numbers with alpha cut and ranking technique," IOSR Journal: Engineering, vol. 2, pp. 1162-1164, 2012b.

Downloads

Published

2017-10-31

Issue

Section

Research Articles

How to Cite

[1]
S. Menakadevi, B. Abarna, R.Tharani, " Ranking of Heptagonal Fuzzy Number Method to Solve Balanced Zero Assignment Problem , International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 3, Issue 6, pp.148-151, September-October-2017.