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

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Abstract

Induced aggregation operators are more suitable for aggregating the individual preference relations into a collective fuzzy preference relation. Therefore, in this paper, we introduce the notion of some new types induced aggregation operators, namely induced interval-valued Pythagorean fuzzy ordered weighted geometric aggregation operator, induced interval-valued Pythagorean fuzzy hybrid geometric aggregation operator, induced generalized interval-valued Pythagorean fuzzy ordered weighted geometric aggregation operator and induced generalized interval-valued Pythagorean fuzzy hybrid geometric aggregation operator. Furthermore, these operators are applied to decision-making problems in which experts provide their preferences in the Pythagorean fuzzy environment to show the validity, practicality and effectiveness of the new approach. We also study the applicability in a decision-making problem concerning strategic selection of the best information system and give an illustrative example to show the effectiveness of the developed methods and operators.

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Authors and Affiliations

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

    Khaista Rahman

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

    Saleem Abdullah

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  1. Khaista Rahman
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  2. Saleem Abdullah
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Correspondence to Khaista Rahman.

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Rahman, K., Abdullah, S. Some induced generalized geometric aggregation operators based on interval-valued Pythagorean fuzzy numbers. Math Sci 14, 397–407 (2020). https://doi.org/10.1007/s40096-020-00350-9

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