Simplicial complexes of finite fuzzy sets

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Simplicial complexes of finite fuzzy sets
IPMU04, Perugia, 4-9 July 2004
Fabio Cuzzolin
Image and Sound Processing Group
Dipartimento di Elettronica e Informazione
Politecnico di Milano
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today well be
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introducing our research
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about the author

• PhD student, University of Padova, Department of
  Computer
• Science (NAVLAB laboratory) with Ruggero
  Frezza
• Visiting student, Washington University in St.
  Louis (ESSRL
• laboratory)
• Visiting student, UCLA, Los Angeles (VisionLab)
• with Stefano Soatto
• Image and Sound Processing Group, Politecnico di
  Milano

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the research
research
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Simplicial complexes of consonant b.f.
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Probability and plausibility assignments

• belief functions or lower probabilities

A
B1
B2
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Consonant belief functions
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Belief space

• the space of all the belief functions on a given
  frame

• each subset A?? ? A-th coordinate s(A) in an
  Euclidean space

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Condition for simplices
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Simplicial complex
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Open research
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Geometric approximations