| Authors: | Jimenez, Jorge Serrano, María Luisa Šešelja, Branimir Tepavčević, Andreja |
Affiliations: | Computer Science Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | Omega-rings | Journal: | Fuzzy Sets and Systems | Issue Date: | 2022 | Rank: | ~M21a | ISSN: | 0165-0114 | DOI: | 10.1016/j.fss.2022.04.012 | Abstract: | Omega rings (Ω-rings) and some special types of these structures (commutative, without zero divisors, Ω-fields,...) are introduced and investigated. Ω is a complete lattice and Ω-rings are lattice-valued algebraic structures, defined on crisp algebras of the same type as rings, but which are not necessarily rings. The classical equality is replaced by a lattice-valued one. We give some basic properties of Ω-rings and related structures. |
Keywords: | A complete lattice | Fuzzy algebra | Fuzzy congruence | Fuzzy equality | Fuzzy identity | Omega ring | Publisher: | Elsevier |
Show full item record
SCOPUSTM
Citations
2
checked on Dec 20, 2024
Page view(s)
19
checked on Dec 22, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.