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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/9204

Title: Fuzzy logics from substructural perspective
Authors: Kowalski, Tomasz
Ono, Hiroakira
Keywords: Basic fuzzy logic
Monoidal t-norm logic
Substructural logics
Residuated lattices
Interpolation property
Finite model property
Issue Date: 2010-09-09
Publisher: Elsevier
Magazine name: Fuzzy Sets and Systems
Volume: 161
Number: 3
Start page: 301
End page: 310
DOI: 10.1016/j.fss.2009.09.005
Abstract: Hájek's basic logic BL is an extension of the substructural logic Fl_<ew>, or equivalently, Höhle'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.
Rights: NOTICE: This is the author's version of a work accepted for publication by Elsevier. Tomasz Kowalski and Hiroakira Ono, Fuzzy Sets and Systems, 161(3), 2010, 301-310, http://dx.doi.org/10.1016/j.fss.2009.09.005
URI: http://hdl.handle.net/10119/9204
Material Type: author
Appears in Collections:z4-10-1. 雑誌掲載論文 (Journal Articles)

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