Cost Minimization of Fuzzy Assignment Problem using Two Types of Symmetric Intuitionistic Fuzzy Numbers

G. Uthra; K.Thangavelu; B.Amutha

doi:https://doi.org/10.14445/22315373/IJMTT-V54P543

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 54 | Number 5 | Year 2018 | Article Id. IJMTT-V54P543 | DOI : https://doi.org/10.14445/22315373/IJMTT-V54P543

Cost Minimization of Fuzzy Assignment Problem using Two Types of Symmetric Intuitionistic Fuzzy Numbers

G. Uthra, K.Thangavelu, B.Amutha

Citation :

G. Uthra, K.Thangavelu, B.Amutha, "Cost Minimization of Fuzzy Assignment Problem using Two Types of Symmetric Intuitionistic Fuzzy Numbers," International Journal of Mathematics Trends and Technology (IJMTT), vol. 54, no. 5, pp. 371-376, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V54P543

Abstract

This paper illustrates the method of obtaining the minimum cost of the Fuzzy Assignment Problem using a Symmetric Intuitionistic Fuzzy Number. The comparative study of different average rankings of Symmetric Triangular Intuitionistic Fuzzy Number (STIFN) and Symmetric Trapezoidal Intuitionistic Fuzzy Number (STrIFN) is discussed. The cost values of the given Fuzzy Assignment Problem are taken as STIFN and STrIFN. The STIFN and STrIFN are converted into crisp values using proposed rankings. The Fuzzy Assignment Problem is solved by usual Hungarian Method. A numerical example is given to illustrate the proposed approach.

Keywords

Triangular Fuzzy Number, Triangular Intuitionistic Fuzzy Number, Symmetric Triangular Intuitionistic Fuzzy Number(STIFN), Symmetric Trapezoidal Intuitionistic Fuzzy Number (STrIFN), Fuzzy Assignment Problem

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