JOURNAL ARTICLE

Measures and Topologies on MV-algebras

Hendrik Weber

Year: 2009 Journal:   Journal of Logic and Computation Vol: 21 (3)Pages: 527-539   Publisher: Oxford University Press

Abstract

We present a topological approach to the study of measures on MV-algebras. These measures generalize, in the terminology of Butnariu and Klement (D. Butnariu and E. P. Klement. Triangular Norm based Measures and Games with Fuzzy Coalitions. Kluver, Dordrecht, 1993), T∞-valuations on clans of fuzzy sets.

Keywords:
Terminology Clan Fuzzy logic Mathematics Norm (philosophy) Network topology Discrete mathematics Pure mathematics Algebra over a field Topology (electrical circuits) Computer science Artificial intelligence Combinatorics Political science Linguistics Epistemology Philosophy

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Topics

Advanced Algebra and Logic
Physical Sciences →  Computer Science →  Computational Theory and Mathematics
Rough Sets and Fuzzy Logic
Physical Sciences →  Computer Science →  Computational Theory and Mathematics
Logic, Reasoning, and Knowledge
Physical Sciences →  Computer Science →  Artificial Intelligence

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