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http://dx.doi.org/10.5391/IJFIS.2012.12.3.232

(L, e)-filters on complete residuated lattices  

Kim, Yong-Chan (Department of Mathematics, Gangneung-Wonju National University)
Ko, Jung-Mi (Department of Mathematics, Gangneung-Wonju National University)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.12, no.3, 2012 , pp. 232-237 More about this Journal
Abstract
We introduce the notion of (L, e)-filters with fuzzy partially order e on complete residuated lattice L. We investigate (L, e)-filters induced by the family of (L, e)-filters and functions. In fact, we study the initial and final structures for the family of (L, e)-filters and functions. From this result, we define the product and co-product for the family of (L, e)-filters and functions.
Keywords
(L, e)-filters; (L, e)-filter (preserving) maps; the product and co-product of (L, e)-filters;
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