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Einstein Heronian mean aggregation operator and its application in decision making problems

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Abstract

In this paper, an aggregation operator for multi-criteria decision-making (MCDM) problems of interval valued intuitionistic fuzzy sets (IVIFSs) is proposed. In the present approach, the Heronian mean (HM) operator and Einstein operational laws are combined to develop interval-valued intuitionistic fuzzy Einstein Heronian mean (IVIFEHM) operator. Properties of proposed aggregation operator are investigated. Further the technique for order preference by similarity to ideal solution (TOPSIS) MCDM model is established using IVIFEHM operator and Jaccard distance measure. The proposed model is demonstrated by solving a numerical example and its efficiency is authenticated by comparing with existing methods.

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Authors and Affiliations

  1. Department of Mathematics, GITAM Institute of Science, GITAM (Deemed to be University), Visakhapatnam, 530045, India

    V. Anusha & V. Sireesha

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  1. V. Anusha
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  2. V. Sireesha
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Correspondence to V. Sireesha.

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Communicated by Regivan Hugo Nunes Santiago.

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Anusha, V., Sireesha, V. Einstein Heronian mean aggregation operator and its application in decision making problems. Comp. Appl. Math. 41, 69 (2022). https://doi.org/10.1007/s40314-022-01769-7

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