A subjective approach for ranking fuzzy numbers
Fuzzy Sets and Systems
Ranking fuzzy numbers with integral value
Fuzzy Sets and Systems
A new approach for ranking fuzzy numbers by distance method
Fuzzy Sets and Systems
Reasonable properties for the ordering of fuzzy quantities (I)
Fuzzy Sets and Systems
Ranking fuzzy numbers by preference ratio
Fuzzy Sets and Systems
Fuzzy Mathematical Models in Engineering and Management Science
Fuzzy Mathematical Models in Engineering and Management Science
Fuzzy risk analysis based on the ranking of generalized trapezoidal fuzzy numbers
Applied Intelligence
The revised method of ranking fuzzy numbers with an area between the centroid and original points
Computers & Mathematics with Applications
Ranking nonnormal p-norm trapezoidal fuzzy numbers with integral value
Computers & Mathematics with Applications
A new approach for ranking of trapezoidal fuzzy numbers
Computers & Mathematics with Applications
Expert Systems with Applications: An International Journal
A method for ranking fuzzy numbers and its application to decision-making
IEEE Transactions on Fuzzy Systems
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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, with the help of several counter examples it is proved that the results proposed by Chen and Tang [C.C. Chen, H.C. Tang, Ranking of nonnormal p-norm trapezoidal fuzzy numbers with integral value, Computers and Mathematics with Applications 56 (2008) 2340-2346] are applicable only for the nonnormal p-norm trapezoidal fuzzy numbers with equal heights and a new approach is proposed for the ranking of nonnormal p-norm trapezoidal fuzzy numbers with different heights. The results proposed by Chen and Tang are modified and to illustrate the proposed approach the counter examples are solved using the proposed approach. It is also shown that the proposed approach and the results, obtained by using the proposed approach, are valid.