# Ranking of Fuzzy Numbers using Radius of Gyration of Centroids

## Authors

• Ashokan Hari Ganesh Department of Mathematics, PRIST University, Thanjavur - 613403 Tamil Nadu, India.
• S. Jayakumar Department of Mathematics, A.V.V.M. Sri Pushpam College (Autonomous), Poondi, Thanjavur - 613 503. Tamil Nadu, India.

2013-12-28

## Abstract

Ranking of fuzzy numbers play an important role in decision making, optimization, forecasting etc. fuzzy numbers must be ranked before an action is taken by a decision maker. In this paper we propose a new approach of the fuzzy ranking of generalized trapezoidal fuzzy numbers based on radius of gyration point of centroids. The main advantage of the proposed approach is that the proposed approach provides the correct ordering of generalized and normal trapezoidal fuzzy numbers. We have also used some comparative examples to illustrate the advantage of the proposed approach for ranking of fuzzy numbers.

Keywords: Generalized trapezoidal fuzzy numbers, centroid, and radius of gyration.

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