Solving Fuzzy Assignment Problem for Heptagonal Fuzzy Number using Ones Assignment Method

Authors

  • D. Premalatha  M.Sc Mathematics, Department of Mathematics, Dr. SNS Rajalakshmi college of Arts &Science, Coimbatore, Tamilnadu, India
  • P. Murugan  Assistant Professor, Department of Mathematics, Dr. SNS Rajalakshmi college of Arts &Science, Coimbatore, Tamilnadu, India

Keywords:

Fuzzy Assignment Problem, Revised Ones Assignment Algorithm And Heptagonal Fuzzy Number, Robust’s Ranking Method.

Abstract

In this paper, revised ones assignment method is used to solve the fuzzy assignment problem to find minimum objective function using heptagonal fuzzy number. Robust's ranking method has been used for ranking the heptagonal fuzzy numbers.Finally, example are given to explain this method. We find the minimum total cost.

References

  1. Hadi Basirzadeh "Ones Assignment Method for Solving Assignment Problems" (2012).
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  3. H.J. Zimmermann, Fuzzy set theory and its Applications, third Ed., Kluwer Academic, Boston 1996.
  4. A. Solairaju and R. Nagarajan "Computing Improved Fuzzy Optimal Hungarian Assignment Problems with Fuzzy Costs under Robust Ranking Techniques" (2010).
  5. Kadhirvel. K, Balamurugan. K,"Method For Solving Hungarian Assignment Problems Using Triangular And Trapezoidal Fuzzy Number" (2012).
  6. A. Zadeh, "Fuzzy Set" (1965).
  7. M. Hellmann "Fuzzy logic Introduction", preprint.
  8. Rajarajeswari, P., Sahaya Sudha, A., and Karthika, R., "A New Operation on Hexagonal Fuzzy Number", International Journal of Fuzzy Logic Systems, Vol.3,pp.15-26,2013.
  9. Rathi, K., Balamohan, S., "Representation and Ranking of Fuzzy Numbers with Heptagonal Membership Function value and Ambiguity Index", Applied Mathematical Sciences, Vol. 8, pp.4309 - 4321, 2014.

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Published

2017-10-31

Issue

Section

Research Articles

How to Cite

[1]
D. Premalatha, P. Murugan, " Solving Fuzzy Assignment Problem for Heptagonal Fuzzy Number using Ones Assignment Method, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 3, Issue 6, pp.539-542, September-October-2017.