Ranking Fuzzy Numbers Using Centerbased Methods And Its Application
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Date
2014-02
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Universiti Malaysia Terengganu
Abstract
Ranking fuzzy numbers has become an important process in decision
making. Many ranking methods have been proposed thus far and one of the
commonly used is centroid method. However, there is still no agreement on
the method that can always provide a satisfactory solution to every situation.
This research aims to propose a new ranking fuzzy numbers method using
circumcenter, orthocenter and incenter of centroids. The calculation for the
circumcenter, orthocenter and incenter is derived from a trapezoidal of fuzzy
numbers which is split into three parts of triangle and series of proposed
algorithms. The new proposed algorithms not only compute the center-
based, but also consider the height, distance, spread and area of trapezoidal
fuzzy numbers. An implementation of the proposed algorithms in a few
examples of ranking fuzzy numbers and decision making problem is given to
illustrate the proposed methods. In order to test the proposed methods in
real cases, a case study of risk analysis on obesity is used and the results show that the factor of family history is the main factors that contribute to
obesity. The result implicates the importance of family’s lifestyle in
minimising the development of obesity.
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Fateen Najwa Binti Azman, QA 279.4 .F3 2014, 1100091952