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Title

New results on the migrativity properties for overlap (grouping) functions and uninorms

Year: 1400
COI: JR_IJFS-18-3_010
Language: EnglishView: 47
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Authors

W. H. Li - School of Mathematics and Statistics, Jiangxi Normal University, ۳۳۰۰۲۲ Nanchang, PR China
F. Qin - School of Mathematics and Statistics, Jiangxi Normal University, ۳۳۰۰۲۲ Nanchang, PR China

Abstract:

Functional equations involving aggregation functions play an important role in fuzzy sets and fuzzy logic theory. That the migrativity equation as a kind of restricted general associative equation have been proven to be useful in a wide range of fields like decision making, aggregation of information, image processing and so on. In the literature, the already existing results concerning the migrativity equation between overlap (grouping) functions and uninorms are based on the assumption that uninorms belong to one of the most studied classes. In this study we will explore it involving uninorms in a more general setting. To be specific, we investigate the migrativity properties between overlap (grouping) functions and uninorms in the case when uninorms have continuous underlying operators. We will show along the paper that many new solutions to the equation are characterized from this new point of view.

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Paper COI Code

This Paper COI Code is JR_IJFS-18-3_010. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1232348/

How to Cite to This Paper:

If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:
Li, W. H. and Qin, F.,1400,New results on the migrativity properties for overlap (grouping) functions and uninorms,https://civilica.com/doc/1232348

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