Fuzzy random impulse noise reduction method
Fuzzy Sets and Systems
Special issue dedicated to the 60th birthday of Etienne E. Kerre
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology - Dedicated to the 60th birthday of Etienne E. Kerre
Histogram-based fuzzy colour filter for image restoration
Image and Vision Computing
An Overview of Fuzzy Relational Calculus and Its Applications
MDAI '07 Proceedings of the 4th international conference on Modeling Decisions for Artificial Intelligence
On the Decomposition of Interval-Valued Fuzzy Morphological Operators
Journal of Mathematical Imaging and Vision
Lattice fuzzy signal operators and generalized image gradients
IFSA'03 Proceedings of the 10th international fuzzy systems association World Congress conference on Fuzzy sets and systems
Information Sciences: an International Journal
On the role of complete lattices in mathematical morphology: From tool to uncertainty model
Information Sciences: an International Journal
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Fuzzy mathematical morphology is an extension of binary morphology to gray-scale morphology, using techniques from fuzzy set theory. In this paper, we will study the decomposition and construction of fuzzy morphological operations based on α-cuts. First, we will investigate the relationship between α-cuts of the fuzzy morphological operations and the corresponding binary operations. Next, we will review several ways to obtain fuzzy morphological operations starting from binary operations and α-cuts. The investigation is carried out in both the continuous and the discrete case. It is interesting to observe that several properties that do not hold in the continuous case do hold in the discrete case. This is quite important since in practice we only work with discrete objects