Quotient Space Based Problem Solving

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1.4. The Relation Among Different Grain Size Worlds

Generally, we treat a problem under various grain sizes. Thus, it is necessary to establish the relationship between the worlds at different granularities.

1.4.1. The Structure of Multi-Granular Worlds

Semi-Order Lattice

Definition 1.8

Assume that

is all equivalence relations on X and

. If

, then R₁ is said to be finer than R₂, and denoted by .

Proposition 1.2

Under the relation ‘<’ defined in Definition ...

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