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Some induced aggregation operators based on interval-valued Pythagorean fuzzy numbers

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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, induced interval-valued Pythagorean fuzzy ordered weighted averaging aggregation operator and induced interval-valued Pythagorean fuzzy hybrid averaging aggregation operator have been introduced a long with their desirable properties namely, idempotency, boundedness and monotonicity. The main advantage of using the proposed methods and operators is that these operators and methods give a complete view of the problem to the decision makers. These methods provide more general, more accurate and precise results as compared to the existing methods. Therefore, these methods play a vital role in real world problems. Finally, the proposed operators have been applied to decision making problems to show the validity, practicality and effectiveness of the new approach. At the end of application, we have considered an example for the section of a television from different televisions.

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Authors and Affiliations

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

    Khaista Rahman & Asad Ali

  2. Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, Pakistan

    Saleem Abdullah

Authors
  1. Khaista Rahman
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  2. Saleem Abdullah
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  3. Asad Ali
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Correspondence to Khaista Rahman.

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Rahman, K., Abdullah, S. & Ali, A. Some induced aggregation operators based on interval-valued Pythagorean fuzzy numbers. Granul. Comput. 4, 53–62 (2019). https://doi.org/10.1007/s41066-018-0091-8

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  • DOI: https://doi.org/10.1007/s41066-018-0091-8

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