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. 2024 Dec 28;14(1):30961.
doi: 10.1038/s41598-024-82046-x.

Fuzzy APPSS: A novel method for quantifying COVID-19 impact in India under triangular spherical fuzzy environment

Aicevarya Devi Sakthivel  1 , Felix Augustin  2
Affiliations

Fuzzy APPSS: A novel method for quantifying COVID-19 impact in India under triangular spherical fuzzy environment

Aicevarya Devi Sakthivel et al. Sci Rep. .

Abstract

In the current scenario, decision-making models are essential for analyzing real-world problems. To address the dynamic nature of these problems, fuzzy decision-making models have been proposed by various researchers. However, an advanced technique is needed to assess uncertainty in real-time complex situations. Therefore, an association between preference and performance with satisfactory score (APPSS) method is introduced as a fuzzy decision-making method that incorporates two components: preference and performance. This method focuses on demonstrating a connection between preference and performance with a satisfactory measure. Preference analysis evaluates the significance of criteria, while performance analysis assesses the effectiveness of each alternative based on these criteria. Additionally, the satisfactory measure ensures the reliability of the outcomes. The applicability of the proposed method is demonstrated by analyzing the impact of COVID-19 on different age groups in India across various categories. The proposed method employs triangular spherical fuzzy numbers (TSFN), which is a mathematical model that extends beyond conventional fuzzy numbers by incorporating both triangular and spherical characteristics. Furthermore, a new scoring function for TSFN is developed using the graded mean integration method. The analysis reveals that the age group between 60-69 is highly vulnerable to COVID-19. The robustness of these outcomes is verified through sensitivity and comparative analyses. The findings also assist policymakers in more effectively assessing potential future health complications.

Keywords: Fuzzy APPSS method; Preference and performance; Scoring function; Triangular spherical fuzzy number.

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Conflict of interest statement

Declarations. Competing interests: The authors declare no competing interests. Ethics declarations: This study does not involve research with human participants.

Figures

Fig. 1
Fig. 1
Representation of different types of extended fuzzy sets.
Fig. 2
Fig. 2
Graphical flow of APPSS method.
Fig. 3
Fig. 3
Alternatives and criteria.
Fig. 4
Fig. 4
Scores of the alternatives.
Fig. 5
Fig. 5
Sensitivity analysis.
Fig. 6
Fig. 6
Comparative analysis.
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