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Operations on Soft Sets Revisited

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  • 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.

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  • Ping Zhu & Qiaoyan Wen, 2013. "Operations on Soft Sets Revisited," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-7, January.
    • Handle: RePEc:hin:jnljam:105752
    DOI: 10.1155/2013/105752
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    Cited by:

    1. Orhan Göçür, 2020. "Monad Metrizable Space," Mathematics, MDPI, vol. 8(11), pages 1-14, October.
    2. Basit Ali & Naeem Saleem & Nozara Sundus & Sana Khaleeq & Muhammad Saeed & Reny George, 2022. "A Contribution to the Theory of Soft Sets via Generalized Relaxed Operations," Mathematics, MDPI, vol. 10(15), pages 1-14, July.

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