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Formal Introduction to Fuzzy Implications

Formalized Mathematics

Volume 25 (2017): Issue 3 (October 2017)

By: Adam Grabowski

Open Access

|Dec 2017

Abstract

In the article we present in the Mizar system the catalogue of nine basic fuzzy implications, used especially in the theory of fuzzy sets. This work is a continuation of the development of fuzzy sets in Mizar; it could be used to give a variety of more general operations, and also it could be a good starting point towards the formalization of fuzzy logic (together with t-norms and t-conorms, formalized previously).

References

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Articles in this issue

DOI: https://doi.org/10.1515/forma-2017-0023 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630

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Language: English

Page range: 241 - 248

Submitted on: Sep 3, 2017

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Published on: Dec 19, 2017

Published by: University of Białystok

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

fuzzy implication,

Related subjects:

General mathematics,

Computer sciences,

Computer sciences, other

© 2017 Adam Grabowski, published by University of Białystok
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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