An Interactive Weighted Geometric Aggregation Operator on T2IFS

N. Annapurna () and V. Sireesha
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N. Annapurna: Department of Mathematics, GITAM School of Science, Gandhi Institute of Technology and Management (GITAM), Visakhapatnam 530045, Andhra Pradesh, India
V. Sireesha: Department of Mathematics, GITAM School of Science, Gandhi Institute of Technology and Management (GITAM), Visakhapatnam 530045, Andhra Pradesh, India

New Mathematics and Natural Computation (NMNC), 2024, vol. 20, issue 03, 791-811

Abstract: Type 2 intuitionistic fuzzy sets (T2IFS) appear to be an attractive and potentially useful tool for coping with uncertainty and inaccurate data in today’s uncertain and ambiguous world. Consequently, it is frequently employed in decision-making (DM) issues. In the DM procedure, it is essential to aggregate the information provided by the experts. The Aggregation operators (AOs) are effective information combining tools. Therefore, this study aims on developing geometric and interactive geometric AOs on T2IFSs. To demonstrate the efficacy of the proposed operator, the optimal e-learning tool selection MCDM problem is solved. The results demonstrate that the proposed interactive AO outperforms existing arithmetic AOs and is applicable to all DM problems.

Keywords: T2IFS; geometric aggregation operators; weighted geometric aggregation operators; interactive weighted geometric operators; decision-making; MCDM (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S179300572450042X

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