| Authors: | Šešelja, Branimir Tepavčević, Andreja |
Title: | Fuzzifying closure systems and fuzzy lattices | Journal: | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) | Volume: | 4482 LNAI | First page: | 111 | Last page: | 118 | Conference: | 11th International Conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computer, RSFDGrC 2007; Toronto; Canada; 14 May 2007 through 17 May 2007 | Issue Date: | 1-Dec-2007 | Rank: | M23 | ISBN: | 978-3-540-72530-5 | ISSN: | 0302-9743 | DOI: | 10.1007/978-3-540-72530-5_13 | Abstract: | 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. |
Keywords: | Fuzzifying closure system | Fuzzy complete lattice | Fuzzy lattice | Lattice ordered fuzzy poset | Publisher: | Springer Link |
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