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Intuitionistic Fuzzy Soft Aggregation Operator Based on Einstein Norms and Its Applications in Decision-Making

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Intelligent Systems Design and Applications (ISDA 2018 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 940))

Abstract

The manuscript aims to create a few aggregation operators based on Einstein norms under intuitionistic fuzzy (IF) soft set environment. For this, some operational laws based on Einstein sum and product are discussed. Then, based on these operations, Einstein averaging and geometric operators such as IF soft weighted Einstein averaging (IFSWEA) and IF soft weighted Einstein geometric (IFSWEG) operator are proposed. Further, some of their properties are investigated and the relationship between the proposed operators and the existing ones is explored. Furthermore, an approach for solving DM problems has been presented and illustrated with an example for demonstrating the effectiveness of proposed work.

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Acknowledgments

The author would like to thank the Department of Science & Technology, New Delhi, India for providing financial support under WOS-A scheme wide File No. SR/WOS-A/PM-77/2016 during the preparation of this manuscript.

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Authors and Affiliations

  1. School of Mathematics, Thapar Institute of Engineering and Technology (Deemed University), Patiala, 147004, Punjab, India

    Rishu Arora

Authors
  1. Rishu Arora
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Correspondence to Rishu Arora .

Editor information

Editors and Affiliations

  1. Machine Intelligence Research Labs, Auburn, WA, USA

    Ajith Abraham

  2. School of Information Technology and Engineering, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    Aswani Kumar Cherukuri

  3. Tijuana Institute of Technology, Tijuana, Mexico

    Patricia Melin

  4. Machine Intelligence Research Labs, Auburn, WA, USA

    Niketa Gandhi

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Arora, R. (2020). Intuitionistic Fuzzy Soft Aggregation Operator Based on Einstein Norms and Its Applications in Decision-Making. In: Abraham, A., Cherukuri, A.K., Melin, P., Gandhi, N. (eds) Intelligent Systems Design and Applications. ISDA 2018 2018. Advances in Intelligent Systems and Computing, vol 940. Springer, Cham. https://doi.org/10.1007/978-3-030-16657-1_93

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