Soft set theory and topology

By Dimitris N. Georgiou, Athanasios C. Megaritis. 2014

66 citations recorded by the source corpus.

In this paper we study and discuss the soft set theory giving new definitions, examples, new classes of soft sets, and properties for mappings between different classes of soft sets. Furthermore, we investigate the theory of soft topological spaces and we present new definitions, characterizations, and properties concerning the soft closure, the soft interior, the soft boundary, the soft continuity, the soft open and closed maps, and the soft homeomorphism.

Subfields: Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/337a266acc4134b4797dbd8f8a28a18f9c17414a

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In Management Science and Operations Research

1. V. Petropoulos
2. Dimitris N. Georgiou
3. Athanasios C. Megaritis

Citations in the corpus

• On Soft Topological Spaces (2013, background): “In [9] for the soft set theory: new definitions, examples, new classes of soft sets, and properties for mappings between different classes of soft sets are introduced and studied.”