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AIMS Mathematics

2023, Volume 18, Issue 12: 29628-29666. doi: 10.3934/math.20231517
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Research article

A generalized effective neurosophic soft set and its applications

  • 1.
    Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, Jordan
  • 2.
    Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor Darul Ehsan, Malaysia
  • 3.
    Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid, Jordan
  • Received: 24 August 2023 Revised: 01 October 2023 Accepted: 11 October 2023 Published: 01 November 2023

  • MSC : 03B52, 03E72, 03E75

  • We introduce the concept of an effective neutrosophic soft set, which aims to capture the influence on three independent membership functions representing degrees of truth (T), indeterminacy (I) and falsity (F). We go further by presenting a generalization of the effective neutrosophic soft set, which includes the incorporation of a degree to signify the potential for an approximate value-set. This enhancement contributes to improved efficiency and realism in the concept. Notably, this innovative approach leverages the strengths of both the generalized neutrosophic set and the effective neutrosophic soft set. The subsequent sections delve into fundamental operations on the generalized effective neutrosophic soft set, providing clarity through illustrative examples and propositions. Furthermore, we demonstrate the practical application of the generalized effective neutrosophic soft set in addressing decision-making problems and medical diagnoses.

    Citation: Sumyyah Al-Hijjawi, Abd Ghafur Ahmad, Shawkat Alkhazaleh. A generalized effective neurosophic soft set and its applications[J]. AIMS Mathematics, 2023, 18(12): 29628-29666. doi: 10.3934/math.20231517

    Related Papers:

  • We introduce the concept of an effective neutrosophic soft set, which aims to capture the influence on three independent membership functions representing degrees of truth (T), indeterminacy (I) and falsity (F). We go further by presenting a generalization of the effective neutrosophic soft set, which includes the incorporation of a degree to signify the potential for an approximate value-set. This enhancement contributes to improved efficiency and realism in the concept. Notably, this innovative approach leverages the strengths of both the generalized neutrosophic set and the effective neutrosophic soft set. The subsequent sections delve into fundamental operations on the generalized effective neutrosophic soft set, providing clarity through illustrative examples and propositions. Furthermore, we demonstrate the practical application of the generalized effective neutrosophic soft set in addressing decision-making problems and medical diagnoses.


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  • © 2023 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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