Regular and strongly regular relations on soft hyperrings
| Autor: | S. Ostadhadi-Dehkordi, Kar Ping Shum |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Pure mathematics Generalization Astrophysics::High Energy Astrophysical Phenomena Computational intelligence 02 engineering and technology Fuzzy logic Theoretical Computer Science 020901 industrial engineering & automation Isomorphism theorem 0202 electrical engineering electronic engineering information engineering Equivalence relation 020201 artificial intelligence & image processing Geometry and Topology Software Quotient Mathematics Soft set |
| Zdroj: | Soft Computing. 23:3253-3260 |
| ISSN: | 1433-7479 1432-7643 |
| Popis: | Soft set theory, introduced by Molodtsov, has been considered as an effective mathematical tool for modeling uncertainties, and soft hyperrings can be regarded as a generalization of soft rings. The motivation for such an investigation is to generalize the concept of quotient soft hyperrings and isomorphism theorems. Also, we consider when the fuzzy hyperideals of a soft hyperring are normal, then the equivalence relations defined by J. Wang et. al. on soft hyperrings are strongly regular. Moreover, the quotient soft hyperrings determined by this equivalence relation are soft rings. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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