| 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 |
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