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2013 Operations on Soft Sets Revisited
Ping Zhu, Qiaoyan Wen
J. Appl. Math. 2013: 1-7 (2013). DOI: 10.1155/2013/105752

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.

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Ping Zhu. Qiaoyan Wen. "Operations on Soft Sets Revisited." J. Appl. Math. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/105752

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.03068
MathSciNet: MR3029962
Digital Object Identifier: 10.1155/2013/105752

Rights: Copyright © 2013 Hindawi

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