| Authors: | Šešelja, Branimir Tepavčević, Andreja |
Title: | Fuzzy ordering relation and fuzzy poset | Journal: | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) | Volume: | 4815 LNCS | First page: | 209 | Last page: | 216 | Conference: | 2nd International Conference on Pattern Recognition and Machine Intelligence, PReMI 2007; Kolkata; India; 18 December 2007 through 22 December 2007 | Issue Date: | 1-Dec-2007 | Rank: | M23 | ISBN: | 978-3-540-77046-6 | ISSN: | 0302-9743 | DOI: | 10.1007/978-3-540-77046-6_26 | Abstract: | Connections between (weakly) reflexive, antisymmetric and transitive lattice-valued fuzzy relations on a nonempty set X (fuzzy ordering relations on X) and fuzzy subsets of a crisp poset on X (fuzzy posets) are established and various properties of cuts of such structures are proved. A representation of fuzzy sets by cuts corresponding to atoms in atomically generated lattices has also been given. |
Keywords: | Cutworthy approach | Fuzzy poset | Fuzzy weak ordering relation | Lattice valued fuzzy ordering relation | Publisher: | Springer Link |
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