A new approach to the fuzzification of arity, JHC and CUP of L-convexities

In this paper, the notions of arity, Corn-union property (CUP), Join-hull commutativity (JHC) and weakly Join-hull commutativity (weakly JHC) are generalized to the fuzzy case. Also, it is proved that Corn-union property, Join-hull commutativity and weakly Join-hull commutativity L-convexities are o...

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Bibliographic Details
Published in:Journal of intelligent & fuzzy systems 2018-01, Vol.34 (1), p.221-231
Main Authors: Chen, Fan-Hong, Shen, Chong, Shi, Fu-Gui
Format: Article
Language:English
Subjects:
Corn
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Summary:In this paper, the notions of arity, Corn-union property (CUP), Join-hull commutativity (JHC) and weakly Join-hull commutativity (weakly JHC) are generalized to the fuzzy case. Also, it is proved that Corn-union property, Join-hull commutativity and weakly Join-hull commutativity L-convexities are of arity ≤2. Moreover, the CP and CC mappings between L-convexities with arity property are characterized.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-171142