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Zbl 1217.03040
Sezgin, Asl ihan; Atagün, Ak in Osman
On operations of soft sets. (English)
[J] Comput. Math. Appl. 61, No. 5, 1457-1467 (2011). ISSN 0898-1221

Summary: Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. In this paper, first we prove that certain De Morgan's law hold in soft set theory with respect to different operations on soft sets. Then, we discuss the basic properties of operations on soft sets such as intersection, extended intersection, restricted union and restricted difference. Moreover, we illustrate their interconnections between each other. Also we define the notion of restricted symmetric difference of soft sets and investigate its properties. The main purpose of this paper is to extend the theoretical aspect of operations on soft sets.

MSC 2000:: *03E72 Fuzzy sets (logic)

Keywords: soft sets; union of soft sets; restricted union; intersection of soft sets; extended intersection; restricted difference; restricted symmetric difference

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