Equality relations as a basis for fuzzy control
Fuzzy Sets and Systems
Ordering, distance and closeness of fuzzy sets
Fuzzy Sets and Systems - Special issue on fuzzy data analysis
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
A similarity-based generalization of fuzzy orderings preserving the classical axioms
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Foundations of Fuzzy Systems
Size reduction by interpolation in fuzzy rule bases
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
A fuzzy ordering on multi-dimensional fuzzy sets induced from convex cones
Fuzzy Sets and Systems - Fuzzy intervals
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Orderings and rankings of fuzzy sets have turned out to play a fundamental role in various disciplines. Throughout the previous 25 years, a lot a different approaches to this issue have been introduced, ranging from rather simple ones to quite exotic ones. The aim of this paper is to present a new framework for comparing fuzzy sets with respect to a general class of fuzzy orderings. This approach includes several known techniques based on generalizing the crisp linear ordering of real numbers by means of the extension principle, however, in its general form, it is applicable to any fuzzy subsets of any kind of universe for which a fuzzy ordering is known - no matter whether linear or partial.