Advanced Information on Optimistic Multiple‐Granulation Approximation Spaces

Mathematical Methods in the Applied Sciences 2026

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Authors: A. A. Abdallah, M. N. Abu‐Shugair, Osama Rashed Sayed, Y. H. Ragheb Sayed, SALAHUDDIN SALAHUDDIN, E. El-Sanousy
DOI: 10.1002/mma.70453
Cited by: 0
References: 12

Abstract

ABSTRACT To define the optimistic multiple‐granulation (OMG) supra interior operator and the OMG‐supra closure operator associated with a set in a multiple‐granulation approximation space, we used the concepts of the OMG‐lower set and the OMG‐upper set . These operators establish an approximate topological space referred to as optimistic multiple‐granulation supra topological spaces. Additionally, we introduce the concepts of OMG‐supra‐open and OMG‐supra‐closed approximation sets, as well as OMG‐supra‐continuous and OMG‐irresolute approximations.

Fields of Study & Subjects

Rough Sets and Fuzzy Logic Fuzzy and Soft Set Theory Advanced Algebra and Logic

Publication details

Journal / source
Mathematical Methods in the Applied Sciences
Volume
49
Issue
8
Pages
7914–7924
Publication date
11 January 2026
Language
EN