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Pythagorean fuzzy prioritized aggregation operators and their application to multi-attribute group decision making

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Abstract

Pythagorean fuzzy set is a useful tool to deal with the fuzziness and vagueness. Many aggregation operators have been proposed by many researchers based on Pythagorean fuzzy sets. But the current methods are under the assumption that the decision makers and the attributes are at the same priority level. However, in real group decision-making problems the attribute and decision makers may have different priority level. Therefore, in this paper, we develop multi-attribute group decision-making based on Pythagorean fuzzy sets where there exists a prioritization relationship over the attributes and decision makers. First, we develop Pythagorean fuzzy prioritized weighted average operator and Pythagorean fuzzy prioritized weighted geometric operator. Then we study some of its desirable properties such as idempotency, boundary and monotonicity in detail. Moreover, we propose a multi-attribute group decision-making approach based on the developed operators under Pythagorean fuzzy environment. Finally, a numerical example is provided to illustrate the practicality of the proposed approach.

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Authors and Affiliations

  1. Department of Mathematics, Hazara University Mansehra, Mansehra, KPK, Pakistan

    Muhammad Sajjad Ali Khan, Asad Ali & Fazli Amin

  2. Department of Mathematics, Abdul Wali Khan University Madran, Madran, KPK, Pakistan

    Saleem Abdullah

Authors
  1. Muhammad Sajjad Ali Khan
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  2. Saleem Abdullah
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  3. Asad Ali
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  4. Fazli Amin
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Correspondence to Muhammad Sajjad Ali Khan.

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Khan, M.S.A., Abdullah, S., Ali, A. et al. Pythagorean fuzzy prioritized aggregation operators and their application to multi-attribute group decision making. Granul. Comput. 4, 249–263 (2019). https://doi.org/10.1007/s41066-018-0093-6

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  • DOI: https://doi.org/10.1007/s41066-018-0093-6

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