BASIC CONCEPTS
Fuzzy Logic
Uncertainty and Imprecision
Complexity
A little Piece of History
Fuzzy Sets
Definitions
Definition of a Fuzzy (Sub)Set
Fuzzy Subset Features
Example 1
Example 2
Operations on Fuzzy Sets
Equality, Inclusion of Fuzzy Subsets
Intersection of Fuzzy Subsets: T-Norms (Triangular Norms)
Examples
Union of Fuzzy Subset: T-Conorms
Complement of Fuzzy Subset
Note
-Cuts Associated with a Fuzzy Subset
Definition of
-Cuts
Properties of
-Cuts
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
IRIT-UPS
-Cuts
Associated with a Fuzzy Subset -Cuts
-Cuts
