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Soft pre-rough sets and its applications in decision making.

M El Sayed1,2, Abdul Gawad A Q Al Qubati1, M K El-Bably2

  • 1Department of Mathematics, College of Science and Arts, Najran University, Kingdom of Saudi Arabia.

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Summary
This summary is machine-generated.

This study introduces a novel, generalized soft rough set model for handling uncertain data. The new approach is applied to medical decision-making, specifically for COVID-19 diagnosis, demonstrating its practical applicability.

Keywords:
decision makingsoft pre-rough setssoft rough setssoft sets

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Area of Science:

  • * Mathematics
  • * Computer Science
  • * Data Science

Background:

  • * Soft set theory and rough set theory are distinct mathematical frameworks for dealing with uncertainty.
  • * Existing models may not fully capture the complexities of real-world uncertain data.
  • * There is a need for integrated approaches that leverage the strengths of both soft and rough set theories.

Purpose of the Study:

  • * To introduce a novel modification and generalization of the soft rough set model.
  • * To explore and establish the fundamental properties of the proposed generalized soft rough sets.
  • * To apply the new model for mathematical modeling of uncertain data and ambiguity resolution.

Main Methods:

  • * Development of a new generalized soft rough set framework.
  • * Theoretical analysis of the basic properties of the proposed approaches.
  • * Application of the model for decision-making in uncertain environments.

Main Results:

  • * A new, generalized soft rough set model is successfully developed.
  • * The basic properties of the proposed model are thoroughly investigated.
  • * The model demonstrates effectiveness in handling ambiguous and uncertain data.

Conclusions:

  • * The proposed generalized soft rough set model offers a robust framework for uncertain data analysis.
  • * The model's utility is validated through a medical application in COVID-19 diagnosis decision-making.
  • * An algorithm based on the new concepts enhances decision-making processes.