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A Contribution to the Theory of Soft Sets via Generalized Relaxed Operations

Author

Listed:
  • Basit Ali

    (Department of Mathematics, School of Science, University of Management and Technology, C-II, Johar Town, Lahore 54770, Pakistan)

  • Naeem Saleem

    (Department of Mathematics, School of Science, University of Management and Technology, C-II, Johar Town, Lahore 54770, Pakistan)

  • Nozara Sundus

    (Department of Mathematics, School of Science, University of Management and Technology, C-II, Johar Town, Lahore 54770, Pakistan
    Abdus Salam School of Mathematical Sciences, Government College University, Lahore 54600, Pakistan)

  • Sana Khaleeq

    (Department of Mathematics, School of Science, University of Management and Technology, C-II, Johar Town, Lahore 54770, Pakistan)

  • Muhammad Saeed

    (Department of Mathematics, School of Science, University of Management and Technology, C-II, Johar Town, Lahore 54770, Pakistan)

  • Reny George

    (Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia)

Abstract

Soft set theory has evolved to provide a set of valuable tools for dealing with ambiguity and uncertainty in a variety of data structures related to real-world challenges. A soft set is characterized via a multivalued function of a set of parameters with certain conditions. In this study, we relax some conditions on the set of parameters and generalize some basic concepts in soft set theory. Specifically, we introduce generalized finite relaxed soft equality and generalized finite relaxed soft unions and intersections. The new operations offer a great improvement in the theory of soft sets in the sense of proper generalization and applicability.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:15:p:2636-:d:873379
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    References listed on IDEAS

    as
    1. José Carlos R. Alcantud, 2020. "Soft Open Bases and a Novel Construction of Soft Topologies from Bases for Topologies," Mathematics, MDPI, vol. 8(5), pages 1-12, April.
    2. Ping Zhu & Qiaoyan Wen, 2013. "Operations on Soft Sets Revisited," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-7, January.
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    Cited by:

    1. Iraklis Kollias & John Leventides & Vassilios G. Papavassiliou, 2024. "On the solution of games with arbitrary payoffs: An application to an over‐the‐counter financial market," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 29(2), pages 1877-1895, April.

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