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Approaches to Multi-Attribute Group Decision Making Based on Induced Interval-Valued Pythagorean Fuzzy Einstein Aggregation Operator

Author

Listed:
  • K. Rahman

    (Department of Mathematics, Hazara University Mansehra, KPK, Pakistan)

  • A. Ali

    (Department of Mathematics, Hazara University Mansehra, KPK, Pakistan)

  • S. Abdullah

    (#x2020;Department of Mathematics, Abdul Wali Khan University Mardan, Pakistan)

  • F. Amin

    (Department of Mathematics, Hazara University Mansehra, KPK, Pakistan)

Abstract

Interval-valued Pythagorean fuzzy set is one of the successful extensions of the interval-valued intuitionistic fuzzy set for handling the uncertainties in the data. Under this environment, in this paper, we introduce the notion of induced interval-valued Pythagorean fuzzy Einstein ordered weighted averaging (I-IVPFEOWA) aggregation operator. Some of its desirable properties namely, idempotency, boundedness, commutatively, monotonicity have also been proved. The main advantage of using the proposed operator is that this operator gives a more complete view of the problem to the decision-makers. The method proposed in this paper provides more general, more accurate and precise results as compared to the existing methods. Therefore this method play a vital role in real world problems. Finally, we apply the proposed operator to deal with multi-attribute group decision- making problems under interval-valued Pythagorean fuzzy information. The approach has been illustrated with a numerical example from the field of the decision-making problems to show the validity, practicality and effectiveness of the new approach.

Suggested Citation

  • K. Rahman & A. Ali & S. Abdullah & F. Amin, 2018. "Approaches to Multi-Attribute Group Decision Making Based on Induced Interval-Valued Pythagorean Fuzzy Einstein Aggregation Operator," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(03), pages 343-361, November.
    • Handle: RePEc:wsi:nmncxx:v:14:y:2018:i:03:n:s1793005718500217
    DOI: 10.1142/S1793005718500217
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    References listed on IDEAS

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    1. Xu, Z., 2000. "On consistency of the weighted geometric mean complex judgement matrix in AHP," European Journal of Operational Research, Elsevier, vol. 126(3), pages 683-687, November.
    2. Harish Garg, 2017. "Confidence levels based Pythagorean fuzzy aggregation operators and its application to decision-making process," Computational and Mathematical Organization Theory, Springer, vol. 23(4), pages 546-571, December.
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    Cited by:

    1. Hari Darshan Arora & Anjali Naithani, 2022. "Logarithmic similarity measures on Pythagorean fuzzy sets in admission process," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 32(1), pages 5-24.
    2. Zhang, Mengdan & Zhang, Chonghui & Shi, Qiule & Zeng, Shouzhen & Balezentis, Tomas, 2022. "Operationalizing the telemedicine platforms through the social network knowledge: An MCDM model based on the CIPFOHW operator," Technological Forecasting and Social Change, Elsevier, vol. 174(C).

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