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- Title
Operations on Soft Sets Revisited.
- Authors
Ping Zhu; Qiaoyan Wen
- 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.
- Subjects
SOFT sets; SET theory; MATHEMATICAL models; INTERSECTION numbers; ALGEBRA; COMPLEMENTARITY constraints (Mathematics); OPERATIONS (Algebraic topology)
- Publication
Journal of Applied Mathematics, 2013, p1
- ISSN
1110-757X
- Publication type
Article
- DOI
10.1155/2013/105752