Soft set theory and topology

D.N. Georgiou · A.C. Megaritis

67 citations0/0 files storedApplied General Topology

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

Abstract

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.

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References

1999Soft set theory—First results 2003Soft set theory 2002An application of soft sets in a decision making problem 2009On some new operations in soft set theory 2007Soft sets and soft groups 2011On soft topological spaces 2001FUZZY SOFT SETS 2010Soft set theory and uni–int decision making

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2019On some generated soft topological spaces and soft homogeneity

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