A fuzzifying closure system is introduced as a fuzzy set on the collection of subsets of a nonempty set. It is proved that this structure is a particular fuzzy lattice ordered poset. Conversely, every lattice ordered poset is isomorphic to a fuzzifying closure system. In particular, each complete fuzzy lattice is representable by a fuzzifying closure system. © Springer-Verlag Berlin Heidelberg 2007.
CITATION STYLE
Šešelja, B., & Tepavčević, A. (2007). Fuzzifying closure systems and fuzzy lattices. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4482 LNAI, pp. 111–118). Springer Verlag. https://doi.org/10.1007/978-3-540-72530-5_13
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