Artificial Intelligence - Fuzzy Sets
be a fuzzy relation on X × X. Suppose RT is the transitive closure with max-min composition and max union and R'T is the transtitive closure with max-product composition and max union.
be a fuzzy relation on X = {x1,x2,...,x5}. Which of the following is/are CORRECT?
1. R is equivalence relation w.r.t. max-min composition
2. R is not transitive w.r.t. max-min composition
3. For a=0.1, [x1] = {x1,x2,x3,x4,x5} is the equivalence class.
4. For a=0.7, [x1] = {x1,x3,x4} and [x2]={x4,x5} are the equivalence classes
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