Operations on Soft Sets Revisited. (30th January 2013)

• Record Type: Journal Article
• Authors: Zhu, Ping; Wen, Qiaoyan
• Other Names: Choi Han H. Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2013(2013)
• Publication Date: 2013-01-30
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2013/105752
• Languages: English
• ISSNs: 1110-757X

Abstract

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.