A robust MADM-approach to recruitment-based pattern recognition by using similarity measures of interval-valued fuzzy hypersoft set

Muhammad Arshad; Muhammad Saeed; Khuram Ali Khan; Nehad Ali Shah; Wajaree Weera; Jae Dong Chung; Muhammad Arshad; Muhammad Saeed; Khuram Ali Khan; Nehad Ali Shah; Wajaree Weera; Jae Dong Chung

doi:10.3934/math.2023620

AIMS Mathematics

2023, Volume 8, Issue 5: 12321-12341. doi: 10.3934/math.2023620

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A robust MADM-approach to recruitment-based pattern recognition by using similarity measures of interval-valued fuzzy hypersoft set

1.
Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan
2.
Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan
3.
Department of Mechanical Engineering, Sejong University, Seoul 05006, South Korea
4.
Department of Mathematics, Faculty of Science, Khon Kean University, Khon Kean 40002, Thailand
^† These authors contributed equally to this work and are co-first authors

Received: 10 November 2022 Revised: 05 February 2023 Accepted: 07 February 2023 Published: 24 March 2023
MSC : 03E72, 68T35, 90B50

Interval-valued fuzzy hypersoft set ($ \mathbb{IVFHSS} $) is considered a pertinent fuzzy set-like model that is the combination of an interval-valued fuzzy set and a hypersoft set. It is more flexible and trustworthy for dealing with information-based uncertainties due to the consideration of interval-based hypersoft settings. This kind of setting enables the decision makers to approximate the alternatives in terms of interval-type opinions by considering multiple arguments concurrently. These features make it a fitting model for dealing with uncertain decision-making scenarios like the recruitment process. The vagueness arises in the recruitment process when the data obtained is hesitant. The analogous educational norms among the candidates may increase its complexity. Evaluation techniques focus on leveling hypersoft sets for grading several alternatives based on multi-arguments. When several alternatives have an identical status, such grading systems frequently encounter problems, making it challenging for decision-makers to select the preeminent alternative. This settlement of such an issue is the basis of this article. Thus, in this study, first the axiomatic notions of similarity measures between $ \mathbb{IVFHSS}s $ are characterized, and then their relevant theorem is proved. In order to provide a consistent decision-support framework for the recruitment process, a robust algorithm is proposed. Finally, the effectiveness, feasibility, and efficiency of the proposed model are demonstrated through the depiction of recruitment-based pattern recognition.
- similarity measure,
- interval valued fuzzy hypersoft set,
- score function,
- pattern recognition,
- decision making
Citation: Muhammad Arshad, Muhammad Saeed, Khuram Ali Khan, Nehad Ali Shah, Wajaree Weera, Jae Dong Chung. A robust MADM-approach to recruitment-based pattern recognition by using similarity measures of interval-valued fuzzy hypersoft set[J]. AIMS Mathematics, 2023, 8(5): 12321-12341. doi: 10.3934/math.2023620

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Abstract

Interval-valued fuzzy hypersoft set ($ \mathbb{IVFHSS} $) is considered a pertinent fuzzy set-like model that is the combination of an interval-valued fuzzy set and a hypersoft set. It is more flexible and trustworthy for dealing with information-based uncertainties due to the consideration of interval-based hypersoft settings. This kind of setting enables the decision makers to approximate the alternatives in terms of interval-type opinions by considering multiple arguments concurrently. These features make it a fitting model for dealing with uncertain decision-making scenarios like the recruitment process. The vagueness arises in the recruitment process when the data obtained is hesitant. The analogous educational norms among the candidates may increase its complexity. Evaluation techniques focus on leveling hypersoft sets for grading several alternatives based on multi-arguments. When several alternatives have an identical status, such grading systems frequently encounter problems, making it challenging for decision-makers to select the preeminent alternative. This settlement of such an issue is the basis of this article. Thus, in this study, first the axiomatic notions of similarity measures between $ \mathbb{IVFHSS}s $ are characterized, and then their relevant theorem is proved. In order to provide a consistent decision-support framework for the recruitment process, a robust algorithm is proposed. Finally, the effectiveness, feasibility, and efficiency of the proposed model are demonstrated through the depiction of recruitment-based pattern recognition.

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