| Authors: | Gorjanac Ranitović, Marijana Tepavčević, Andreja |
Title: | A lattice-theoretical characterization of the family of cut sets of interval-valued fuzzy sets | Journal: | Fuzzy Sets and Systems | Volume: | 333 | First page: | 1 | Last page: | 10 | Issue Date: | 15-Feb-2018 | Rank: | M21a | ISSN: | 0165-0114 | DOI: | 10.1016/j.fss.2016.11.014 | Abstract: | In this paper the answer to a problem posed in [19] is given using known and some newly introduced types of lattices and lattice constructions. The main result is that the collection of cuts of an interval-valued fuzzy set forms a complete finitely spatial meet-between planar lattice. |
Keywords: | Cuts | Interval-valued fuzzy sets | Lattice representations | Publisher: | Elsevier | Project: | Organizational and information support to the quality management system as a key factor in improving the competitiveness of domestic enterprises and ensuring their faster access to world and EU markets Development of methods of computation and information processing: theory and applications |
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