arXiv:1102.1999 Abstract | arXiv Analytics

arXiv:1102.1999 [math.LO]Abstract References Reviews Resources

MV-semirings as a new perspective on mathematical fuzzy set theory: a survey

Published 2011-02-09, updated 2014-11-14Version 4

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 semiring-based 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.

Comments: Revision in process. arXiv admin note: text overlap with arXiv:1002.4013

Categories: math.LO

Keywords: open problems, research lines, mv-algebras, main achievements, di nola

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