Discrete t-norms in a fuzzy mathematical morphology: Algebraic properties and experimental results

  title={Discrete t-norms in a fuzzy mathematical morphology: Algebraic properties and experimental results},
  author={Manuel Gonz{\'a}lez Hidalgo and Sebasti{\`a} Massanet and Joan Torrens},
  journal={International Conference on Fuzzy Systems},
In this paper, a new approach to fuzzy mathematical morphology based on discrete t-norms is studied. It is proved that the most usual algebraic and morphological properties are preserved, such as, duality, monotonicity, interaction with union and intersection, invariance under translating and scaling, local knowledge property, extensitivity, idempotence, and many others. In fact, all properties satisfied by the approach based on nilpotent t-norms hold in the discrete case. This is quite… CONTINUE READING
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