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Multi-attribute decision-making based on the advanced possibility degree measure of intuitionistic fuzzy numbers

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Abstract

In this paper, we propose a novel multi-attribute decision-making (MADM) approach for the intuitionistic fuzzy numbers (IFNs) environment. For this, we propose the advanced possibility degree measure (APDM) to rank the intuitionistic fuzzy numbers (IFNs). We also explore the properties of the proposed APDM of IFNs. The proposed APDM of IFNs can overcome the drawbacks of the existing possibility degree measure (PDM) of IFNs. Moreover, we propose a novel multi-attribute decision-making approach based on the proposed APDM of IFNs environment. We also explore the drawbacks of the existing MADM approach in the environment of IFNs, which has the drawback that it cannot distinguish the ranking order (RO) of the alternatives in some circumstances. The proposed MADM approach can overcome the drawbacks of the existing MADM approach. The proposed MADM approach offers us a very useful way to deal with MADM problems in the context of IFNs.

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The numerical data used to support the findings of this study are available from the corresponding author upon request.

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Authors and Affiliations

  1. Department of Mathematics, Amity University Haryana, Gurugram, Haryana, 122413, India

    Chirag Dhankhar & Kamal Kumar

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  1. Chirag Dhankhar
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  2. Kamal Kumar
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Correspondence to Kamal Kumar.

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Dhankhar, C., Kumar, K. Multi-attribute decision-making based on the advanced possibility degree measure of intuitionistic fuzzy numbers. Granul. Comput. 8, 467–478 (2023). https://doi.org/10.1007/s41066-022-00343-0

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