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Boundary and Exterior of a Multiset Topology

2015/01/26 by Juthika Mahanta, Mahanta, J., Debaprasad Das +1
Computer Science · Decision Sciences · #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy and Soft Set Theory #General Mathematics (math.GM) #Rough Sets and Fuzzy Logic

paper · pdf · doi:10.48550/arxiv.1501.07193

openalex publication_date 2015/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The concepts of exterior and boundary in multiset topological space are introduced. We further established few relationships between the concepts of boundary, closure, exterior and interior of an M- set. These concepts have been pigeonholed by other existing notions viz., open sets, closed sets, clopen sets and limit points. The necessary and sufficient condition for a multiset to have an empty exterior is also discussed.

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