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http://dx.doi.org/10.5391/IJFIS.2014.14.3.222

L-upper Approximation Operators and Join Preserving Maps  

Kim, Yong Chan (Department of Mathematics, Gangneung-Wonju National University)
Kim, Young Sun (Department of Applied Mathematics, Pai Chai University)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.14, no.3, 2014 , pp. 222-230 More about this Journal
Abstract
In this paper, we investigate the properties of join and meet preserving maps in complete residuated lattice using Zhang's the fuzzy complete lattice which is defined by join and meet on fuzzy posets. We define L-upper (resp. L-lower) approximation operators as a generalization of fuzzy rough sets in complete residuated lattices. Moreover, we investigate the relations between L-upper (resp. L-lower) approximation operators and L-fuzzy preorders. We study various L-fuzzy preorders on $L^X$. They are considered as an important mathematical tool for algebraic structure of fuzzy contexts.
Keywords
Complete residuated lattices; Join and meet preserving maps; L-upper (lower) approximation operators; L-fuzzy preorder;
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