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2020 | OriginalPaper | Chapter

Preservation of the Exchange Principle via Lattice Operations on (S,N)– Implications

Authors : Dimitrios S. Grammatikopoulos, Basil K. Papadopoulos

Published in: Artificial Intelligence Applications and Innovations

Publisher: Springer International Publishing

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Abstract

In this paper, we investigate a special case of an open problem that is related to the exchange principle, a property of fuzzy implications. We focus on the cases of (S,N)– implications and the preservation of the exchange principle via lattice operations. We present and prove some sufficient conditions such that the exchange principle is preserved under the join and meet operations if we use (S,N)– implications.

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Literature
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Metadata
Title
Preservation of the Exchange Principle via Lattice Operations on (S,N)– Implications
Authors
Dimitrios S. Grammatikopoulos
Basil K. Papadopoulos
Copyright Year
2020
DOI
https://doi.org/10.1007/978-3-030-49186-4_15

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