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JOURNALS // Nechetkie Sistemy i Myagkie Vychisleniya // Archive

Nechetkie Sistemy i Myagkie Vychisleniya, 2017 Volume 12, Issue 1, Pages 5–18 (Mi fssc32)

Structure of soft sets

D. A. Molodtsov

Institution of Russian Academy of Sciences Dorodnicyn Computing Centre of RAS, Moscow

Abstract: 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.

UDC: 510.676, 519.7

Received: 28.11.2016
Revised: 23.12.2016



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© Steklov Math. Inst. of RAS, 2024