ABSTRACT

O Set of perceptual objects, X Sample X ⊆ O, F Set of probe functions, B Sample B ⊆ F, Set of real numbers, φ ∈ B Probe φ : O −→ , ∼B Indiscernibility relation, ∼B Weak indiscernibility relation,∼=B,ε Tolerance relation, A ⊂∼=B,ε ∀x, y ∈ A, x ∼=B,ε y (preclass) x/∼B = {y ∈ X | y ∼B x}, x/∼=B,ε x in maximal preclass (tolerance class), O/∼B = {x/∼B | x ∈ O}, X/∼B = {x/∼B | x ∈ X}, quotient set, B Nearness relation, B,ε Tolerance nearness relation, B Weak nearness relation, B,ε Weak tolerance nearness relation.