Similarity semantics and minimal changes of belief

Erkenntnis 37 (3):401 - 429 (1992)
Abstract Different similarity relations on sets are introduced, and their logical properties are investigated. Close relationships are shown to hold between similarity relations that are based on symmetrical difference and operators of belief contraction that are based on relational selection functions. Two new rationality criteria for minimal belief contraction, the maximizing property and the reducing property, are proposed.
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