Fuzzy Logic versus Classical Logic: An Example in Multiplicative Ideal Theory

We discuss a fuzzy result by displaying an example that shows how a classical argument fails to work when one passes from classical logic to fuzzy logic. Precisely, we present an example to show that, in the fuzzy context, the fact that the supremum is naturally used in lieu of the union can alter a...

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Main Author: Olivier A. Heubo-Kwegna
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2016/3839265
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author Olivier A. Heubo-Kwegna
author_facet Olivier A. Heubo-Kwegna
author_sort Olivier A. Heubo-Kwegna
collection DOAJ
description We discuss a fuzzy result by displaying an example that shows how a classical argument fails to work when one passes from classical logic to fuzzy logic. Precisely, we present an example to show that, in the fuzzy context, the fact that the supremum is naturally used in lieu of the union can alter an argument that may work in the classical context.
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spelling doaj-art-13f88fb6b26841ac896727c23c2f88642025-02-03T06:12:15ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2016-01-01201610.1155/2016/38392653839265Fuzzy Logic versus Classical Logic: An Example in Multiplicative Ideal TheoryOlivier A. Heubo-Kwegna0Department of Mathematical Sciences, Saginaw Valley State University, 7400 Bay Road, University Center, MI 48710-0001, USAWe discuss a fuzzy result by displaying an example that shows how a classical argument fails to work when one passes from classical logic to fuzzy logic. Precisely, we present an example to show that, in the fuzzy context, the fact that the supremum is naturally used in lieu of the union can alter an argument that may work in the classical context.http://dx.doi.org/10.1155/2016/3839265
spellingShingle Olivier A. Heubo-Kwegna
Fuzzy Logic versus Classical Logic: An Example in Multiplicative Ideal Theory
Advances in Fuzzy Systems
title Fuzzy Logic versus Classical Logic: An Example in Multiplicative Ideal Theory
title_full Fuzzy Logic versus Classical Logic: An Example in Multiplicative Ideal Theory
title_fullStr Fuzzy Logic versus Classical Logic: An Example in Multiplicative Ideal Theory
title_full_unstemmed Fuzzy Logic versus Classical Logic: An Example in Multiplicative Ideal Theory
title_short Fuzzy Logic versus Classical Logic: An Example in Multiplicative Ideal Theory
title_sort fuzzy logic versus classical logic an example in multiplicative ideal theory
url http://dx.doi.org/10.1155/2016/3839265
work_keys_str_mv AT olivieraheubokwegna fuzzylogicversusclassicallogicanexampleinmultiplicativeidealtheory