Soft set theory and topology | Zendy

D.N. Georgiou | Zendy; A.C. Megaritis | Zendy

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Soft set theory and topology

Author(s) -

D.N. Georgiou,

A.C. Megaritis

Publication year - 2014

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.638

H-Index - 13

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2014.2268

Subject(s) - soft set , mathematics , closure (psychology) , topological space , homeomorphism (graph theory) , boundary (topology) , topology (electrical circuits) , set (abstract data type) , closed set , pure mathematics , discrete mathematics , mathematical analysis , computer science , combinatorics , artificial intelligence , market economy , programming language , fuzzy logic , economics

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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