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ES Structure Based on Soft J-Subset

Author

Listed:
  • Xi Chen

    (School of Business, Nanjing University, Nanjing 210093, China)

  • Pooja Yadav

    (Amity Institute of Applied Sciences, Amity University Uttar Pradesh, Noida 201303, India)

  • Rashmi Singh

    (Amity Institute of Applied Sciences, Amity University Uttar Pradesh, Noida 201303, India)

  • Sardar M. N. Islam

    (Institute for Sustainable Industries and Livable Cities, Victoria University, Melbourne, VIC 3000, Australia)

Abstract

The ES structure described by soft subsets or soft M-subsets does not yield a lattice structure due to its restriction on parameter sets, and so cannot be used in information theory. This study proposes a new ES structure on soft sets that addresses the deficiencies of the prior structure. Using mathematical concepts, we can construct and entirely new system of soft sets. As a result, the ES structure is derived from a finite collection of basic soft sets and offers complicated soft sets via its ES components, allowing for it to be operated by computers, as this is more acceptable to conventional mathematical viewpoints. We rewrote this using a soft J-subset and demonstrated that (ES, ∨ ˜ E S , ∧ ˜ E S ) is a distributive lattice. This will play an important role in decision-making problems and contribute to a better understanding of human recognition processes. During the process of reaching a decision, several groups of parameters develop, and the ES structure in this article takes these parameters into consideration in order to handle the intricate issues that arise. In soft set theory, this research gives insight into the cognitive field.

Suggested Citation

  • Xi Chen & Pooja Yadav & Rashmi Singh & Sardar M. N. Islam, 2023. "ES Structure Based on Soft J-Subset," Mathematics, MDPI, vol. 11(4), pages 1-9, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:4:p:853-:d:1060810
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    References listed on IDEAS

    as
    1. Zhiming Zhang & Shouhua Zhang, 2012. "Type-2 Fuzzy Soft Sets and Their Applications in Decision Making," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-35, December.
    2. Santanu Acharjee, 2018. "On Connections of Soft Set Theory with Existing Mathematics of Uncertainties: A Short Discussion for Non-Mathematicians with Respect to Soft Set Theory," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 1-9, March.
    3. Zhen-ming Ma & Wei Yang & Bao-Qing Hu, 2010. "Soft set theory based on its extension," Fuzzy Information and Engineering, Springer, vol. 2(4), pages 423-432, December.
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