|Title:||Fuzzy relational inequalities and equations, fuzzy quasi-orders, closures and openings of fuzzy sets||Journal:||Fuzzy Sets and Systems||Volume:||260||First page:||1||Last page:||24||Issue Date:||1-Jan-2015||Rank:||M21a||ISSN:||0165-0114||DOI:||10.1016/j.fss.2014.05.006||Abstract:||
The paper deals with systems of fuzzy relation equations known in the literature as eigen fuzzy set equations, as well as with systems of related fuzzy relation inequalities. Our main results are algorithms for computing the greatest and the smallest solutions to the considered systems of fuzzy relation inequalities, and algorithms for computing the greatest solutions to the considered systems of fuzzy relation equations. The systems are studied in the framework of complete residuated lattices as the structure of membership values, by means of fuzzy quasi-orders and closures and openings on a collection of fuzzy sets.
|Keywords:||Closures | Complete residuated lattices | Eigen fuzzy sets | Fuzzy quasi-orders | Fuzzy relation equations | Fuzzy relation inequalities | Fuzzy relations | Openings||Publisher:||Elsevier||Project:||Development of methods of computation and information processing: theory and applications|
Show full item record
checked on Jan 29, 2023
checked on Jan 30, 2023
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.