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Erschienen in:
2005 | OriginalPaper | Buchkapitel
Granular Logic with Closeness Relation and Its Reasoning
verfasst von : Qing Liu, Qianying Wang
Erschienen in: Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing
Verlag: Springer Berlin Heidelberg
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Significance of granular logic, including the operational rules, studying background, is presented in this paper. This closeness relation
$``\sim_{\lambda}"$
is quoted in granular logic,and the closeness relation
$``\sim_{\lambda}"$
quoted in granular logic is defined via logical truth values. Hence, we induce several new relative properties and inference rules in the granular logic with the closeness relation. The granular logical reasoning systems with the closeness relation
$``\sim_{\lambda}"$
are also established. And this paper proves a few real examples by deductive reasoning in the systems. Significance of granular logic with closeness relation ~
λ
is also described in the paper.