INFORMATION FUSION IN POSSIBILITY THEORY
GENERAL PRINCIPLES
Information Fusion Methods
BASIC CONCEPTS
Fuzzy Logic
Uncertainty and Imprecision
Complexity
A Little Piece of History
Fuzzy Sets
Operations on Fuzzy Sets
-Cuts associated with a Fuzzy Subset
Possibility Theory
Example
Evaluation of Possibility
Evaluation of Necessity
Relations between Possibility Measures and Necessity Measures
Comparison between Possibility and Probability
Histogram and Possibility Distribution
Fuzzy Sets and Possibility Distributions
CONJUNCTIVE FUSION
Theory
Application
Principle
Conjunctive Fusion of the Four Spectral Bands MSS4 to MSS7
Conjunctive Fusion of the Four Spectral Bands MSS4 to MSS7 and of Out-Image Data
Conclusion on Conjunctive Fusion
RENORMALIZED CONJUNCTIVE FUSION
Theory
DISJUNCTIVE FUSION
Theory
Application
Disjunctive Fusion of the Spectral Bands and Out-Image Data
Inter-Classes Confusion
Conclusion on Disjunctive Fusion
ADAPTIVE FUSION
Theory
Presentation of the Method
Behaviour of the Rule
Remarks
Application
Principle
Difficulties to Use many Images
Adaptive Fusion of the Spectral Bands MSS4 to MSS7
Adaptive Fusion of Spectral Bands and Out-Image Data
Inter-Classes Confusion
Conclusion on Adaptive Fusion
Disadvantages and Advantages
QUANTIFIED ADAPTIVE FUSION
Theory
Presentation of the Method
Behaviour of the Rule
Application
Implementation of the Quantified Adaptive Fusion
Optimistic and Pessimistic Estimation of the Number of Reliable Sources
Quantified Adaptive Fusion of Spectral Bands
Quantified Adaptive Fusion of Spectral Bands and Out-Image Data
Inter-Classes Confusion
Conclusion on Quantified Adaptive Fusion
FUSION BY PRIORITY
Theory
Total Conflict
Strong Conflict
Weak Conflict
No Conflict
Applications
Implementation of the Fusion by Priority
Construction of Groups
K
i
of Sources
Application of the Rule
Comparison between Fusion by Priority and Quantified Adaptive Fusion
Conclusion on Fusion by Priority
CONCLUSION ON FUSION IN POSSIBILITY THEORY
IRIT-UPS
-Cuts
associated with a Fuzzy Subset 