2016
DOI: 10.1155/2016/3839265
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Fuzzy Logic versus Classical Logic: An Example in Multiplicative Ideal Theory

Abstract: 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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Cited by 3 publications
(2 citation statements)
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“…Indeed, Zhang et al [49] state that the overall precision in set, theory-based models, such as HMP-Coffee, can be affected when there are many border values. According to Olivier et al [50], techniques such as Fuzzy theory that can operate with intermediate values are proper to overcome this shortcoming, seeking to achieve a more flexible and precise model.…”
Section: Discussionmentioning
confidence: 99%
“…Indeed, Zhang et al [49] state that the overall precision in set, theory-based models, such as HMP-Coffee, can be affected when there are many border values. According to Olivier et al [50], techniques such as Fuzzy theory that can operate with intermediate values are proper to overcome this shortcoming, seeking to achieve a more flexible and precise model.…”
Section: Discussionmentioning
confidence: 99%
“…The conventional PID controller has the inherent flaw of the limitation of operation range as it can only be tuned for a particular range or input-output combinations. The FLC [22], which uses linguistic variables to specify the wide range of inputs as its Membership Functions (MFs) can solve this problem of the PID controller and can operate effectively under the complete specified range of the DC voltage of the converter. The voltage range is split into segments and each segment is provided as a MF for the reference voltage and the actual output variables.…”
Section: ) Filter Designmentioning
confidence: 99%