Mathematical Problems in Engineering

Mathematical Problems in Engineering / 2013 / Article
Special Issue

Ranking Fuzzy Numbers and Its Extensions

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Editorial | Open Access

Volume 2013 |Article ID 468635 |

Tofigh Allahviranloo, Ronald R. Yager, Saeid Abbasbandy, Gozde Ulutagay, "Ranking Fuzzy Numbers and Its Extensions", Mathematical Problems in Engineering, vol. 2013, Article ID 468635, 1 page, 2013.

Ranking Fuzzy Numbers and Its Extensions

Received27 Aug 2013
Accepted27 Aug 2013
Published21 Nov 2013

Ranking fuzzy numbers plays a prominent role in management, engineering, and basic sciences. Fuzzy numbers are represented by a membership function, and despite the real numbers that can be linearly ordered, fuzzy numbers might overlap with each other; thus, their ordering seems impossible or very difficult. Varieties of methods have been proposed for ranking fuzzy numbers in the recent years. Due to nonintuitive and nondiscriminating results of these methods that cause inconsistency in outputs, generalization of them is limited and there are some extenuations associated with them. Some of the ranking methods use defuzzification methods, while others are based on the membership function or metric distance methods. This issue’s papers study the following areas.(i)Similarity: it is being used in the approximation theory.(ii)Ordering: it is used for ordering fuzzy numbers and quantities.(iii)Risk analysis: it is used in management science.(iv)Optimization: it is applied in management and applied science.(v)Fuzzy differential equation: the nonequality case in this equations can be ordered.(vi)Fuzzy clustering: it is used in intelligent systems.

Tofigh Allahviranloo
Ronald R. Yager
Saeid Abbasbandy
Gozde Ulutagay

Copyright © 2013 Tofigh Allahviranloo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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