The semiring-theoretic approach to MV-algebras: a survey

Abstract

In this paper we review some of the main achievements of the semiring-theoretic approach to MV-algebras initiated and pursued mainly by the present authors and their collaborators. The survey focuses mainly on the connections between MV-algebras and other theories that such a semiringbased approach enabled, and on an application of such a framework to Digital Image Processing. We also give some suggestions for further developments by stating several open problems and possible research lines.

Published version

References in corpus (3)

• Quantale Modules and their Operators, with Applications
• Semiring and semimodule issues in MV-algebras
• Dequantization of Mathematics, idempotent semirings and fuzzy sets

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• Propositional Logics for the Lawvere Quantale
• The Loomis--Sikorski Theorem for $EMV$-algebras