Extension principle in fuzzy optimization
Fuzzy Sets and Systems
A characterization of the extension principle
Fuzzy Sets and Systems - Special issue: Dedicated to the memory of Richard E. Bellman
Fuzzy spatial relationships for image processing and interpretation: a review
Image and Vision Computing
On fuzzifications of discrete dynamical systems
Information Sciences: an International Journal
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In several cases we show that it is possible to extend a notion in classical mathematics by identifying each fuzzy subset with the continuous chain of its closed cuts and by applying this notion to these cuts. In particular this idea is applied to extend functions from subsets into subsets (for instance, closure operators) and functions from sets into real numbers (for instance, measures).