Bipolar Fuzzy Mathematical Morphology for Spatial Reasoning

DOI10.1007/978-3-642-03613-2_3zbMath1182.68328OpenAlexW1588331917MaRDI QIDQ3183493

Isabelle Bloch

Publication date: 20 October 2009

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-03613-2_3

zbMATH Keywords

fuzzy setsspatial relationsspatial reasoningbipolar fuzzy dilation and erosionbipolar spatial information

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Biomedical imaging and signal processing (92C55) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (8)

Interval-valued and intuitionistic fuzzy mathematical morphologies as special cases of \(\mathbb{L}\)-fuzzy mathematical morphology ⋮ Mathematical morphology on bipolar fuzzy sets: general algebraic framework ⋮ A t-norm embedding theorem for fuzzy sets ⋮ Lattices of fuzzy sets and bipolar fuzzy sets, and mathematical morphology ⋮ Unnamed Item ⋮ Modeling imprecise and bipolar algebraic and topological relations using morphological dilations ⋮ Fuzzy and Bipolar Mathematical Morphology, Applications in Spatial Reasoning ⋮ Topological Relations Between Bipolar Fuzzy Sets Based on Mathematical Morphology

Cites Work

• Unnamed Item
• Duality vs. adjunction for fuzzy mathematical morphology and general form of fuzzy erosions and dilations
• Fuzzy sets and systems. Theory and applications
• Interval-valued and intuitionistic fuzzy mathematical morphologies as special cases of \(\mathbb{L}\)-fuzzy mathematical morphology
• Mathematical morphology on bipolar fuzzy sets: general algebraic framework
• Dilation and Erosion of Spatial Bipolar Fuzzy Sets
• Geometry of Spatial Bipolar Fuzzy Sets Based on Bipolar Fuzzy Numbers and Mathematical Morphology
• Symbolic and Quantitative Approaches to Reasoning with Uncertainty

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