Duality vs. adjunction for fuzzy mathematical morphology and general form of fuzzy erosions and dilations
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Publication:1037987
DOI10.1016/j.fss.2009.01.006zbMath1186.68489OpenAlexW2123529398MaRDI QIDQ1037987
Publication date: 17 November 2009
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.fss.2009.01.006
Computing methodologies for image processing (68U10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)
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Cites Work
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- Why mathematical morphology needs complete lattices
- Negation and affirmation: the role of involutive negators
- On the structure of left-continuous t-norms that have a continuous contour line
- Implication in fuzzy logic
- On a general class of fuzzy connectives
- Fuzzy sets and systems. Theory and applications
- Fuzzy data analysis
- Fuzzification of set inclusion: Theory and applications
- A new look at fuzzy connectives
- Fuzzy techniques in image processing
- Grey-scale morphology based on fuzzy logic
- Contrapositive symmetry of fuzzy implications
- On the geometry of associativity.
- Lattice image processing: a unification of morphological and fuzzy algebraic systems
- The algebraic basis of mathematical morphology
- The algebraic basis of mathematical morphology I. Dilations and erosions
- THE FUNDAMENTALS OF FUZZY MATHEMATICAL MORPHOLOGY PART 1: BASIC CONCEPTS
- THE FUNDAMENTALS OF FUZZY MATHEMATICAL MORPHOLOGY PART 2: IDEMPOTENCE, CONVEXITY AND DECOMPOSITION