International Journal of Applied Science and Engineering
Published by Chaoyang University of Technology

Peddi Phani Bushan Raoa,* and Nowpada Ravi Shankarb

a Department of Mathematics, GITAM Institute of Technology, GITAM University, Visakhapatnam, India
b Department of Applied Mathematics, GITAM Institute of Science, GITAM University, Visakhapatnam, India

 

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ABSTRACT

This paper describes a ranking method for ordering fuzzy numbers based on area, mode, spreads and weights of generalized fuzzy numbers. The area used in this method is ob-tained from the generalized trapezoi-dal fuzzy number, first by splitting the generalized trapezoi dal fuzzy numbers into three plane figures and then calculating the centroids of each plane figure followed by the centroid of these centroids and then finding the area of this centroid from origin which is a process of defuzzification proposed in this paper. This method is simple in evalua-tion and can rank various types of fuzzy numbers and also crisp numbers which are considered to be a special case of fuzzy numbers.


Keywords: Ranking function; centroid points; generalized trapezoidal fuzzy numbers.


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ARTICLE INFORMATION

Received: 2011-08-24
Revised: 2011-09-16
Accepted: 2011-12-01
Available Online: 2012-03-01


Cite this article:

Rao, P.P.B., Shankar, N.R. 2012. Ranking generalized fuzzy numbers using Area, Mode, Spreads and weights. International Journal of Applied Science and Engineering, 10, 41–57. https://doi.org/10.6703/IJASE.2012.10(1).41

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