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Decision-making problem based on generalized interval-valued bipolar neutrosophic Einstein fuzzy aggregation operator

  • Fuzzy systems and their mathematics
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Abstract

In this paper, the linguistic interval-valued bipolar neutrosophic fuzzy number and operational laws are defined. We introduce the score and accuracy functions. We introduce the six aggregation operators composed of LGIVBNEFWA, LGIVBNEFOWA, LGIVBNEFHWA, LGIVBNEFWG, LGIVBNEFOWG and LGIVBNEFHWG operators are developed. Also, various associated essential theorems are presented, and special cases of these operators are thoroughly examined. Two new methods based on developed aggregation and geometric operators are proposed. Moreover, numerical examples are included to demonstrate the proposed techniques. Furthermore, both the methods are compared with the existing ones.

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Authors and Affiliations

  1. Department of Mathematics, The University of Faisalabad, Faisalabad, Pakistan

    A. Fahmi

  2. Department of College of Sciences, King Khalid University, Abha, Saudi Arabia

    M. Aslam

  3. Department of Meteorology, COMSATS University, Islamabad, Pakistan

    R. Ahmed

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  1. A. Fahmi
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  2. M. Aslam
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  3. R. Ahmed
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Correspondence to R. Ahmed.

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Fahmi, A., Aslam, M. & Ahmed, R. Decision-making problem based on generalized interval-valued bipolar neutrosophic Einstein fuzzy aggregation operator. Soft Comput 27, 14533–14551 (2023). https://doi.org/10.1007/s00500-023-08944-w

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