Orlovsky's concept of decision-making with fuzzy preference relation—Further results
Fuzzy Sets and Systems
Preference relations on a set of fuzzy utilities as a basis for decision making
Fuzzy Sets and Systems
The mean value of a fuzzy number
Fuzzy Sets and Systems - Fuzzy Numbers
A procedure for ranking fuzzy numbers using fuzzy relations
Fuzzy Sets and Systems
A subjective approach for ranking fuzzy numbers
Fuzzy Sets and Systems
Ranking fuzzy numbers with index of optimism
Fuzzy Sets and Systems
Criteria for evaluating fuzzy ranking methods
Fuzzy Sets and Systems
The expected value of a fuzzy number
Fuzzy Sets and Systems
Ranking fuzzy numbers with integral value
Fuzzy Sets and Systems
An index for ordering fuzzy numbers
Fuzzy Sets and Systems
Ranking and defuzzification methods based on area compensation
Fuzzy Sets and Systems
A new approach for ranking fuzzy numbers by distance method
Fuzzy Sets and Systems
Ranking fuzzy numbers based on decomposition principle and signed distance
Fuzzy Sets and Systems - Special issue on fuzzy numbers and uncertainty
Reasonable properties for the ordering of fuzzy quantities (I)
Fuzzy Sets and Systems
Reasonable properties for the ordering of fuzzy quantities (II)
Fuzzy Sets and Systems
Ranking fuzzy numbers by preference ratio
Fuzzy Sets and Systems
Comparison of fuzzy numbers using a fuzzy distance measure
Fuzzy Sets and Systems - Fuzzy intervals
Fuzzy risk analysis based on the ranking of generalized trapezoidal fuzzy numbers
Applied Intelligence
Fuzzy risk analysis based on fuzzy numbers with different shapes and different deviations
Expert Systems with Applications: An International Journal
The revised method of ranking fuzzy numbers with an area between the centroid and original points
Computers & Mathematics with Applications
Ranking fuzzy numbers with an area method using radius of gyration
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
Ranking L-R fuzzy number based on deviation degree
Information Sciences: an International Journal
A new linear ordering of fuzzy numbers on subsets of $${{\mathcal F}({\pmb{\mathbb{R}}}})$$
Fuzzy Optimization and Decision Making
Centroid defuzzification and the maximizing set and minimizing set ranking based on alpha level sets
Computers and Industrial Engineering
Area ranking of fuzzy numbers based on positive and negative ideal points
Computers & Mathematics with Applications
Ranking fuzzy numbers with preference weighting function expectations
Computers & Mathematics with Applications
The revised method of ranking LR fuzzy number based on deviation degree
Expert Systems with Applications: An International Journal
Computers & Mathematics with Applications
Ranking of fuzzy numbers by sign distance
Information Sciences: an International Journal
How different are ranking methods for fuzzy numbers? A numerical study
International Journal of Approximate Reasoning
An algorithm for extracting intuitionistic fuzzy shortest path in a graph
Applied Computational Intelligence and Soft Computing
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Ranking fuzzy numbers are an important aspect of decision making in a fuzzy environment. Since their inception in 1965, many authors have proposed different methods for ranking fuzzy numbers. However, there is no method which gives a satisfactory result to all situations. Most of the methods proposed so far are nondiscriminating and counterintuitive. This paper proposes a new method for ranking fuzzy numbers based on the Circumcenter of Centroids and uses an index of optimism to reflect the decision maker's optimistic attitude and also an index of modality that represents the neutrality of the decision maker. This method ranks various types of fuzzy numbers which include normal, generalized trapezoidal, and triangular fuzzy numbers along with crisp numbers with the particularity that crisp numbers are to be considered particular cases of fuzzy numbers.