Title
Non-Deterministic Matrices in Action: Expansions, Refinements, and Rexpansions
Abstract
The operations ofexpansion and refinement on non-deterministic matrices(Nmatrices) are composed to form a new operation called rexpansion. Properties of this operation are investigated, together with their effects on the induced consequence relations. A semantic method for obtaining conservative extensions of matrix-defined logics is introduced and applied to fragments of the classical two-valued matrix, as well as to other well-known many-valued matrices. The central application of rexpansion that we present is the construction of truth-preserving paraconsistent conservative extensions of Gödel fuzzy logic.
Year
DOI
Venue
2017
10.1109/ISMVL.2017.16
2017 IEEE 47th International Symposium on Multiple-Valued Logic (ISMVL)
Keywords
Field
DocType
paraconsistent logics,fuzzy logics,non-deterministic matrices,logical matrices
Discrete mathematics,Algebra,Gödel,Computer science,Matrix (mathematics),Fuzzy logic,Semantics
Conference
ISBN
Citations 
PageRank 
978-1-5090-5497-8
2
0.40
References 
Authors
9
2
Name
Order
Citations
PageRank
Arnon Avron11292147.65
Yoni Zohar2239.43