Title
Fuzzy logics from substructural perspective
Abstract
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
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 Kowalski112424.06
hiroakira229682.39