Quantale-valued quasi-neighborhood systems: fundamentals and application to L-quasi-topologies, L-quasi-uniformities, and rough approximation operators
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| Titel: | Quantale-valued quasi-neighborhood systems: fundamentals and application to L-quasi-topologies, L-quasi-uniformities, and rough approximation operators |
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| Autoren: | Kamal El-Saady, Ayat A. Temraz |
| Quelle: | Soft Computing. 28:177-189 |
| Verlagsinformationen: | Springer Science and Business Media LLC, 2023. |
| Publikationsjahr: | 2023 |
| Schlagwörter: | Rough Sets Theory and Applications, Artificial intelligence, 0209 industrial biotechnology, Construct (python library), Social Sciences, 02 engineering and technology, Management Science and Operations Research, Decision Sciences, Fuzzy Logic and Residuated Lattices, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, Topology (electrical circuits), Algebra over a field, Network topology, Application of Soft Set Theory in Decision Making, Pure mathematics, Discrete mathematics, Computer science, Programming language, Fuzzy logic, Operating system, Computational Theory and Mathematics, Interval-Valued Fuzzy Sets, Combinatorics, Computer Science, Physical Sciences, Mathematics |
| Beschreibung: | In accordance with Rodabaugh’s approach to L-quasi-topology, the aim of this paper is to use the concept of semi-quantales as a theoretical basis to construct and study the notion of quantale-valued quasi-neighborhood systems as a generalized form of the resent Höhle–S̆ostak’s L-neighborhood systems. Some properties of such notion and relationships with L-quasi-topologies, L-quasi-fuzzy topologies, L-quasi-uniform structures and L-fuzzy rough approximation operators are established. |
| Publikationsart: | Article Other literature type |
| Sprache: | English |
| ISSN: | 1433-7479 1432-7643 |
| DOI: | 10.1007/s00500-023-09337-9 |
| DOI: | 10.60692/6n467-c1e18 |
| DOI: | 10.60692/4gvpm-6ps19 |
| Rights: | CC BY |
| Dokumentencode: | edsair.doi.dedup.....9e45adb7938d042da94ec3a76ec9e38c |
| Datenbank: | OpenAIRE |
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Nájsť tento článok vo Web of Science | Abstract: | In accordance with Rodabaugh’s approach to L-quasi-topology, the aim of this paper is to use the concept of semi-quantales as a theoretical basis to construct and study the notion of quantale-valued quasi-neighborhood systems as a generalized form of the resent Höhle–S̆ostak’s L-neighborhood systems. Some properties of such notion and relationships with L-quasi-topologies, L-quasi-fuzzy topologies, L-quasi-uniform structures and L-fuzzy rough approximation operators are established. |
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| ISSN: | 14337479 14327643 |
| DOI: | 10.1007/s00500-023-09337-9 |