A New Technique on Ranking Trapezoidal Fuzzy Numbers to Solve Fuzzy Assignment Problem

AUTHOR AND
AFFILIATION

M. ANANTHANARAYANAN
Assoicate Professor, Department of Mathematics, A.M.JAIN College,Chennai-600 114 (India)
P. MALINI (malinigeethas@gmail.com)
Assistant Professor, Department of Mathematics, Jeppiaar Engineering College, Chennai-6000119 (India)

KEYWORDS:

Trapezoidal Fuzzy numbers, Fuzzy Assignment Problem, AMS Subject Classification : 090BXX

Issue Date:

September, 2017

Pages:

368-372

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.29 – No.9

PDF

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DOI:

http://dx.doi.org/10.22147/jusps-A/290902

ABSTRACT:

In this paper a ranking procedure based on trapezoidal fuzzy numbers, is applied to a fuzzy valued assignment problem. Using this ranking method we convert any fuzzy assignment problem to a crisp valued assignment problem which then can be solved using the HUNGARIAN method. The proposed method serves as an efficient method in ranking Trapezoidal fuzzy numbers which is illustrated through a numerical example.

Copy the following to cite this Article:

M. Ananthanarayanan; P. Malini, “A New Technique on Ranking Trapezoidal Fuzzy Numbers to Solve Fuzzy Assignment Problem”, Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 9, Page Number 368-372, 2017


Copy the following to cite this URL:

M. Ananthanarayanan; P. Malini, “A New Technique on Ranking Trapezoidal Fuzzy Numbers to Solve Fuzzy Assignment Problem”, Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 9, Page Number 368-372, 2017

Available from: http://www.ultrascientist.org/paper/844/a-new-technique-on-ranking-trapezoidal-fuzzy-numbers-to-solve-fuzzy-assignment-problem


In this paper a ranking procedure based on trapezoidal fuzzy numbers, is applied to a fuzzy valued assignment problem. Using this ranking method we convert any fuzzy assignment problem to a crisp valued assignment problem which then can be solved using the HUNGARIAN method. The proposed method serves as an efficient method in ranking Trapezoidal fuzzy numbers which is illustrated through a numerical example.