Geodesic
Structure of soft sets
Nečetkie sistemy i mâgkie vyčisleniâ, Tome 12 (2017) no. 1, pp. 5-18.

Voir la notice de l'article provenant de la source Math-Net.Ru

For soft sets the concept of equivalence and the notions of the correctness of operations and relations on the basis of equivalence are introduced. Examples of correct operations and relationships for soft sets are presented. For internal and external relations of equivalence it was proved that the families of sets of minimum and maximum sets are invariant for the corresponding equivalence classes.
Keywords: equivalence of soft sets, the correct operation and relations, internal and external equivalence of soft sets. 
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     author = {D. A. Molodtsov},
     title = {Structure of soft sets},
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D. A. Molodtsov. Structure of soft sets. Nečetkie sistemy i mâgkie vyčisleniâ, Tome 12 (2017) no. 1, pp. 5-18. http://geodesic.mathdoc.fr/item/FSSC_2017_12_1_a0/

[1] Molodtsov D., “Soft set theory - first results”, Computers and Mathematics with Applications, 37 (1999), 19-31 | DOI | MR | Zbl

[2] Molodtsov D. A., Stability of Optimality Principles, Nauka Publ., Moscow, 1987 (in Russian) | MR

[3] Molodtsov D. A., The Theory of Soft Sets, Editorial URSS Publ., Moscow, 2004 (in Russian)