Abstract | ||
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Hajek's basic logic BL is an extension of the substructural logic FL"e"w, or equivalently, Hohle's monoidal logic. Thus, fuzzy logics can be viewed as a special subclass of substructural logics. On the other hand, their close connections are often overlooked, since these two classes of logics have been motivated by different aims, and so introduced and studied separately. Here we attempt to bridge this gap. Several topics of substructural logics that are closely related to fuzzy logics are selected and are surveyed briefly. Above all, almost maximal logics, interpolation property, finite model property and decidability are discussed. |
Year | DOI | Venue |
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2010 | 10.1016/j.fss.2009.09.005 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
basic fuzzy logic,finite model property,basic logic,maximal logic,special subclass,monoidal t-norm logic,monoidal logic,fuzzy logic,different aim,interpolation property,substructural perspective,residuated lattices,close connection,substructural logic,substructural logics | Discrete mathematics,T-norm fuzzy logics,Łukasiewicz logic,Structural rule,Substructural logic,Absorption law,Monoidal t-norm logic,Principle of bivalence,Relevance logic,Mathematics | Journal |
Volume | Issue | ISSN |
161 | 3 | Fuzzy Sets and Systems |
Citations | PageRank | References |
7 | 0.50 | 16 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Tomasz Kowalski | 1 | 124 | 24.06 |
hiroakira | 2 | 296 | 82.39 |