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A NEW METHOD FOR RANKING TRIANGULAR FUZZY NUMBERS

International Journal of Uncertainty Fuzziness and Knowledge-Based SystemsPublished 1 October 2012
Emrah Akyar, Handan Akyar, Serkan Ali Düzce
Citations50
SJR quartileQ3
SJR score0.32
SNIP0.58

TL;DR

A new method for ranking triangular fuzzy numbers based on their incenter and inradius is presented, which is much simpler and more efficient than other methods in the literature.

Abstract

The ranking and comparing of fuzzy numbers have important practical uses, such as in risk analysis problems, decision-making, optimization, forecasting, socioeconomic systems, control and certain other fuzzy application systems. Several methods for ranking fuzzy numbers have been widely-discussed though most of them have shortcomings. In this paper, we present a new method for ranking triangular fuzzy numbers based on their incenter and inradius. The proposed method is much simpler and more efficient than other methods in the literature. Some comparative examples are also given to illustrate the advantages of the proposed method.

Keywords

Decision SciencesMathematicsEngineering