| Authors: | Šešelja, Branimir Tepavčević, Andreja |
Title: | Completion of ordered structures by cuts of fuzzy sets: An overview | Journal: | Fuzzy Sets and Systems | Volume: | 136 | Issue: | 1 | First page: | 1 | Last page: | 19 | Issue Date: | 16-May-2003 | Rank: | M22 | ISSN: | 0165-0114 | DOI: | 10.1016/S0165-0114(02)00365-2 | Abstract: | The aim of the paper is to present a role of fuzzy sets in the theory of ordered structures. Main algebraic properties of cuts of fuzzy sets are given, and a completion of partially ordered sets to complete lattices is described. It turns out that this completion is equivalent with the famous Dedekind-MacNeille completion, but the algorithm presented here is much simpler. |
Keywords: | Algebra | Canonical representation | Completion | Cut | Fuzzy set | Partially ordered set | Publisher: | Elsevier | Project: | Serbian Ministry of Science and Technology, Grant No. 1227 |
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