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Ranking method of the generalized intuitionistic fuzzy numbers founded on possibility measures and its application to MADM problem

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Abstract

In the real number set, generalized intuitionistic fuzzy numbers (GIFNs) are an impressive number of fuzzy sets (FSs). GIFNs are very proficient in managing the decision-making problem data. Our aim of this paper is to develop a new ranking method for solving a multi-attribute decision-making (MADM) problem with GIFN data. Here, we have defined the possibility mean and standard deviation of GIFNs. Then, we have formulated the magnitude of membership and non-membership function of GIFNs. In the proposed MADM problem, the attribute values are expressed as GIFNs, which is a very workable environment for decision-making problems. Finally, a numerical example is analyzed to demonstrate the flexibility, applicability and universality of the proposed ranking method and MADM problem.

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  1. Department of Mathematics, Syamsundar college, Syamsundar, Purba Bardhaman, West Bengal, 713424, India

    Totan Garai

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Garai, T. Ranking method of the generalized intuitionistic fuzzy numbers founded on possibility measures and its application to MADM problem. Adv. in Comp. Int. 3, 14 (2023). https://doi.org/10.1007/s43674-023-00061-3

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