View in EDS

Quantale-valued quasi-neighborhood systems: fundamentals and application to L-quasi-topologies, L-quasi-uniformities, and rough approximation operators

Saved in:
Bibliographic Details
Title: Quantale-valued quasi-neighborhood systems: fundamentals and application to L-quasi-topologies, L-quasi-uniformities, and rough approximation operators
Authors: Kamal El-Saady, Ayat A. Temraz
Source: Soft Computing. 28:177-189
Publisher Information: Springer Science and Business Media LLC, 2023.
Publication Year: 2023
Subject Terms: 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
Description: 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.
Document Type: Article
Other literature type
Language: 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
Accession Number: edsair.doi.dedup.....9e45adb7938d042da94ec3a76ec9e38c
Database: OpenAIRE
Description
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.
ISSN:14337479
14327643
DOI:10.1007/s00500-023-09337-9