The semiring-theoretic approach to MV-algebras: a survey
Antonio Di Nola, Ciro Russo
TL;DR
This survey reviews the semiring-theoretic approach to MV-algebras, highlighting its connections to other theories and applications in digital image processing, along with open problems for future research.
Contribution
It consolidates main achievements of the semiring approach to MV-algebras and explores its interdisciplinary applications and open research directions.
Findings
Established connections between MV-algebras and semiring theory
Applied semiring approach to digital image processing
Outlined open problems and future research lines
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.
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