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Application in multi-attribute decision-making using possibility single-valued neutrosophic hypersoft graphs |
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PP: 69-96 |
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doi:10.18576/jsap/150106
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Author(s) |
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Atiqe Ur Rahman,
Diaa S. Metwally,
M. M. Abd El-Raouf,
M. A. El-Qurashi,
Hamiden Abd El-Wahed Khalifa,
Khadiga Wadi Nahar Tajer,
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Abstract |
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| Experts frequently employ three-dimensional arguments to steer decisions in neutrosophic environments. In explicit cases, parameters are grouped into sub-classes, and the degree of possibility is utilized to appraise the acceptability of professional opinions for potential outcomes. A multi-attribute decision-making (MADM) process is the most fitting approach that entails these types of settings. It is indispensable to make sure that the attributes are pertinent and non-discriminatory so that the decision-making process remains transparent and fair. In this context, the possibility single-valued neutrosophic hypersoft set (pSVNHSS) is a new hybrid model designed to address the limitations of the possibility intuitionistic fuzzy set and soft set regarding indeterminacy levels and multi-argument approximation functions, respectively. This paper introduces the concept of pSVNHSS and integrates it with graph theory to develop a novel framework called the possibility single-valued neutrosophic hypersoft graph (psvNHSG) for data management based on pSVNHSS information. First, it reviews basic concepts and set-theoretical operations of psvNHSG using examples and illustrations. Furthermore, it confers its products, compositions, and related theorems. By combining pSVNHSS, the derived psvNHSG, the psvNHSG-based incidence matrix, and the score function, an ample MADM algorithm is suggested for selecting an assistant manager in an organization. The adaptability of this new structure is evaluated by comparing it with other existing models. |
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