On continuity of the entropy-based differently implicational algorithm

Title:

On continuity of the entropy-based differently implicational algorithm

Creator:

Tang , Yiming and Pedrycz, Witold

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:4e873c71-e9c5-492a-b4ed-0a21199c60dd
uuid:4e873c71-e9c5-492a-b4ed-0a21199c60dd
doi:10.14736/kyb-2019-2-0307

Subject:

continuity, fuzzy entropy, fuzzy inference, and compositional rule of inference

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Aiming at the previously-proposed entropy-based differently implicational algorithm of fuzzy inference, this study analyzes its continuity. To begin with, for the FMP (fuzzy modus ponens) and FMT (fuzzy modus tollens) problems, the continuous as well as uniformly continuous properties of the entropy-based differently implicational algorithm are demonstrated for the Tchebyshev and Hamming metrics, in which the R-implications derived from left-continuous t-norms are employed. Furthermore, four numerical fuzzy inference examples are provided, and it is found that the entropy-based differently implicational algorithm can obtain more reasonable solution in contrast with the fuzzy entropy full implication algorithm. Finally, in the entropy-based differently implicational algorithm, we point out that the first fuzzy implication reflects the effect of rule base, and that the second fuzzy implication embodies the inference mechanism.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

307-336

Source:

Kybernetika | 2019 Volume:55 | Number:2

Harvested from:

CDK

Metadata only:

false