Operations on Soft Sets Revisited

Ping Zhu and Qiaoyan Wen

Journal of Applied Mathematics, 2013, vol. 2013, 1-7

Abstract:

The concept of soft sets introduced by Molodtsov is a general mathematical tool for dealing with uncertainty. Just as the conventional set-theoretic operations of intersection, union, complement, and difference, some corresponding operations on soft sets have been proposed. Unfortunately, such operations cannot keep all classical set-theoretic laws true for soft sets. In this paper, we redefine the intersection, complement, and difference of soft sets and investigate the algebraic properties of these operations along with a known union operation. We find that the new operation system on soft sets inherits all basic properties of operations on classical sets, which justifies our definitions.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:105752

DOI: 10.1155/2013/105752

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