Solving Fuzzy Assignment Problem using Symmetric Hexagonal Fuzzy Number


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Authors

  • K. Arumugam PG and Research Department of Mathematics, A.V.C. College (Autonomous), Mannampandal, Tamil Nadu, India
  • R. Abdul Saleem PG and Research Department of Mathematics, A.V.C. College (Autonomous), Mannampandal, Tamil Nadu, India
  • S. Arunvasan PG and Research Department of Mathematics, A.V.C. College (Autonomous), Mannampandal, Tamil Nadu, India

Keywords:

Fuzzy Number, Fuzzy Set, Hexagonal Fuzzy Number, Symmetric Hexagonal Fuzzy Number, Fuzzy Assignment Problem, Hexagonal Ranking Function

Abstract

Assignment problem is a special kind of Linear Programming Problem. In this paper, the cost values of the Fuzzy Assignment Problem are considered as Symmetric Hexagonal Fuzzy Numbers. First, the Symmetric Hexagonal Fuzzy Numbers are converted into crisp values using Hexagonal ranking method. Then the optimum assignment schedule of the Fuzzy Assignment Problem is obtained by usual Hungarian Method. The proposed approach is illustrated by a numerical example.

 

 

Author Biographies

K. Arumugam, PG and Research Department of Mathematics, A.V.C. College (Autonomous), Mannampandal, Tamil Nadu, India

 

 

R. Abdul Saleem, PG and Research Department of Mathematics, A.V.C. College (Autonomous), Mannampandal, Tamil Nadu, India

 

 

S. Arunvasan, PG and Research Department of Mathematics, A.V.C. College (Autonomous), Mannampandal, Tamil Nadu, India

 

 

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Published

01-03-2018

How to Cite

K. Arumugam, R. Abdul Saleem, & S. Arunvasan. (2018). Solving Fuzzy Assignment Problem using Symmetric Hexagonal Fuzzy Number. International Journal of Mathematics And Its Applications, 6(1 - D), 741–746. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1135

Issue

Vol. 6 No. 1 - D (2018)

Section

Research Article

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