Characterization of neighborhood operators based on neighborhood relationships

Abstract: Neighborhood relationships play a pivotal role in rough set theory, addressing the limitations of equivalence relations. This article focuses on defining upper and lower approximation operators using neighborhood relationships and exploring their properties in terms of serialization, inverse serialization, reflexivity, symmetry, transitivity, and Euclidean relations. Furthermore, a necessary and sufficient condition for the upper approximation operator to function as a topological closure operator is derived. Overall, this research sheds light on the significance of neighborhood relationships and their implications within rough set theory.

Standort
Deutsche Nationalbibliothek Frankfurt am Main
Umfang
Online-Ressource
Sprache
Englisch

Erschienen in
Characterization of neighborhood operators based on neighborhood relationships ; volume:33 ; number:1 ; year:2024 ; extent:8
Journal of intelligent systems ; 33, Heft 1 (2024) (gesamt 8)

Urheber
Caixin, Wei
Pei, Wang
Rongrong, Xu
Wanyuan, Huang

DOI
10.1515/jisys-2023-0100
URN
urn:nbn:de:101:1-2404181838339.793769865656
Rechteinformation
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
14.08.2025, 10:54 MESZ

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Beteiligte

  • Caixin, Wei
  • Pei, Wang
  • Rongrong, Xu
  • Wanyuan, Huang

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