PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
April 17, 2026Filomat1 citationsOpen Access

Overlapping Subset Neighborhoods and Their Applications in Generalized Approximation Spaces

Overlapping subset neighborhoods and applications via generalized approximation spaces

View Full Paper

Authors

TATareq Al-shamiMNMuneerah AL Nuwairan

Discussion

Loading...

Member takes

Overview

Novel overlapping subset neighborhoods improve accuracy in rough set theory, suggesting effective applications for binary relations.

Key Points

  • This research aims to develop new rough neighborhoods to enhance rough approximation models while preserving essential characteristics of previous models.
  • Introduced overlapping subset rough neighborhoods using binary relations.
  • Examined fundamental properties of the new neighborhoods and their interrelations.
  • Derived indicators to evaluate symmetry and transitivity of relations.
  • Explored relationships between neighborhoods across generalized approximation spaces.
  • Designed an algorithm to compute boundary area and accuracy measures.
  • Demonstrated that new models retain core characterizations of Pawlak's approximation space.
  • Identified binary relations that minimize uncertainty and satisfy monotonicity better than previous models.
  • Provided a practical example related to book authorship to showcase the technique's effectiveness.
  • Conducted a comparative analysis highlighting advantages and limitations against prior approaches.
Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Al-shami et al. (2025) studied this question.

synapsesocial.com/papers/69e1cfe05cdc762e9d858f1bhttps://doi.org/10.2298/fil2527415a
Ask AI
Helpful
Bookmark
Share
View Full Paper