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Non-Classical Logics and their Applications to Fuzzy Subsets

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The article was published on 1995-01-01. It has received 338 citations till now. The article focuses on the topics: Fuzzy logic.

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Monoidal t-norm based logic : towards a logic for left-continuous t-norms

TL;DR: This paper investigates a weaker logic, MTL, which is intended to cope with the tautologies of left-continuous t-norms and their residua, and completeness of MTL with respect to linearly ordered MTL-algebras is proved.
Journal ArticleDOI

Fuzzy transforms: Theory and applications

TL;DR: A method of image compression and reconstruction on the basis of the F-transform, which is a fuzzy partition of a universe into fuzzy subsets (factors, clusters, granules etc.), is presented.
Journal ArticleDOI

Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: construction, classification, application

TL;DR: This paper traces these models back to the underlying lattice that they are defined on, and keeps up with an important tradition of using algebraic structures for developing logical calculi and exposes in a clear manner the two models' formal equivalence.
Journal ArticleDOI

Boolean deductive systems of BL-algebras

TL;DR: Boolean ds and implicative ds of BL-algebras are defined and studied and the following are proved to be equivalent: (i) a dsD is implicative, (ii) D is Boolean, (iii) L/D is a Boolean algebra.