Mathematical Institute of the Serbian Academy of Sciences and Arts
|Title:||Lattice-Valued Algebraic Structures Via Residuated Maps||Series/Report no.:||Studies in Computational Intelligence||First page:||7||Last page:||13||Related Publication(s):||Computational Intelligence and Mathematics for Tackling Complex Problems 3||Conference:||12th European Symposium on Computational Intelligence and Mathematics, ESCIM 2020, Budapest4-7 October 2020||Issue Date:||2022||Rank:||M33||ISBN:||978-3-030-74969-9||ISSN:||1860-949X||DOI:||10.1007/978-3-030-74970-5_2||Abstract:||
It is proved recently that cuts of a lattice valued fuzzy set determine a residuated map from the codomain lattice to the power set of the domain ordered dually to inclusion. Conversely, every residuated map from a complete lattice to the power set of the domain determines a lattice valued fuzzy set whose cuts coincide with the values of that map. These connections are applied here to the lattice valued algebraic structures and in particular to Ω-algebras, with a special reference to separation property.
|Keywords:||Cuts | Lattice valued fuzzy algebraic structures | Residuated maps | Ω-algebras||Publisher:||Springer Link|
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