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Open Access

ARTICLE

Solid Waste Management: A MADM Approach Using Fuzzy Parameterized Possibility Single-Valued Neutrosophic Hypersoft Expert Settings

Tmader Alballa1, Muhammad Ihsan2, Atiqe Ur Rahman2, Noorah Ayed Alsorayea3, Hamiden Abd El-Wahed Khalifa3,*
1 Department of Mathematics, College of Sciences, Princess Nourah bint Abdulrahman University, Riyadh, 11671, Saudi Arabia
2 Department of Mathematics, University of Management and Technology, Lahore, 54000, Pakistan
3 Department of Mathematics, College of Science, Qassim University, Buraydah, 51452, Saudi Arabia
* Corresponding Author: Hamiden Abd El-Wahed Khalifa. Email: email
(This article belongs to the Special Issue: Advances in Ambient Intelligence and Social Computing under uncertainty and indeterminacy: From Theory to Applications)

Computer Modeling in Engineering & Sciences https://doi.org/10.32604/cmes.2024.057440

Received 17 August 2024; Accepted 29 October 2024; Published online 21 November 2024

Abstract

The dramatic rise in the number of people living in cities has made many environmental and social problems worse. The search for a productive method for disposing of solid waste is the most notable of these problems. Many scholars have referred to it as a fuzzy multi-attribute or multi-criteria decision-making problem using various fuzzy set-like approaches because of the inclusion of criteria and anticipated ambiguity. The goal of the current study is to use an innovative methodology to address the expected uncertainties in the problem of solid waste site selection. The characteristics (or sub-attributes) that decision-makers select and the degree of approximation they accept for various options can both be indicators of these uncertainties. To tackle these problems, a novel mathematical structure known as the fuzzy parameterized possibility single valued neutrosophic hypersoft expert set (-set), which is initially described, is integrated with a modified version of Sanchez’s method. Following this, an intelligent algorithm is suggested. The steps of the suggested algorithm are explained with an example that explains itself. The compatibility of solid waste management sites and systems is discussed, and rankings are established along with detailed justifications for their viability. This study’s strengths lie in its application of fuzzy parameterization and possibility grading to effectively handle the uncertainties embodied in the parameters’ nature and alternative approximations, respectively. It uses specific mathematical formulations to compute the fuzzy parameterized degrees and possibility grades that are missing from the prior literature. It is simpler for the decision-makers to look at each option separately because the decision is uncertain. Comparing the computed results, it is discovered that they are consistent and dependable because of their preferred properties.

Keywords

Hypersoft expert set; Sanchez’s method; decision making; optimization; solid waste management; possibility grade; fuzzy parameterization

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