Fuzzy logics from substructural perspective

T Kowalski, H Ono - Fuzzy Sets and Systems, 2010 - Elsevier
Hájek's basic logic BL is an extension of the substructural logic FLew, 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 …
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