A new approach for ranking fuzzy numbers by distance method
Fuzzy Sets and Systems
Ranking of fuzzy numbers by sign distance
Information Sciences: an International Journal
The revised method of ranking LR fuzzy number based on deviation degree
Expert Systems with Applications: An International Journal
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ICAISC'10 Proceedings of the 10th international conference on Artificial intelligence and soft computing: Part I
A new fuzzy MCDM approach based on centroid of fuzzy numbers
Expert Systems with Applications: An International Journal
Computers and Industrial Engineering
Application of weighting functions to the ranking of fuzzy numbers
Computers & Mathematics with Applications
A revised method for ranking fuzzy numbers using maximizing set and minimizing set
Computers and Industrial Engineering
Fuzzy arithmetic based reliability allocation approach during early design and development
Expert Systems with Applications: An International Journal
Multi-colony ant algorithm for parallel assembly line balancing with fuzzy parameters
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology - FUZZYSS'2011: 2nd International Fuzzy Systems Symposium
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
A stepwise fuzzy linear programming model with possibility and necessity relations
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
A fuzzy group linear programming technique for multidimentional analysis of preference
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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In a paper by Cheng [A new approach for ranking fuzzy numbers by distance method, Fuzzy Sets and Systems 95 (1998) 307-317], a centroid-based distance method was suggested for ranking fuzzy numbers, both normal and non-normal, where the fuzzy numbers are compared and ranked in terms of their Euclidean distances from their centroid points to the origin. It is found that the centroid formulae provided by the above paper are incorrect and have led to some misapplications. In this paper we present the correct centroid formulae for fuzzy numbers and justify them from the viewpoint of analytical geometry. A numerical example demonstrates that Cheng's formulae can significantly alter the result of the ranking procedure.