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A novel spherical fuzzy analytic hierarchy process and its renewable energy application

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Abstract

The extensions of ordinary fuzzy sets such as intuitionistic fuzzy sets, Pythagorean fuzzy sets, and neutrosophic sets, whose membership functions are based on three dimensions, aim at collecting experts’ judgments more informatively and explicitly. In the literature, generalized three-dimensional spherical fuzzy sets have been introduced by Kutlu Gündoğdu and Kahraman (J Intell Fuzzy Syst 36(1):337–352, 2019a), including their arithmetic operations, aggregation operators, and defuzzification operations. In this paper, our aim is to extend classical analytic hierarchy process (AHP) to spherical fuzzy AHP (SF-AHP) method and to show its applicability and validity through a renewable energy location selection example and a comparative analysis between neutrosophic AHP and SF-AHP.

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Authors and Affiliations

  1. Industrial Engineering Department, Istanbul Technical University, 34367, Besiktas, Istanbul, Turkey

    Fatma Kutlu Gündoğdu & Cengiz Kahraman

  2. Industrial Engineering Department, Istanbul Kültür University, 34191, Bakırkoy, Istanbul, Turkey

    Fatma Kutlu Gündoğdu

Authors
  1. Fatma Kutlu Gündoğdu
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  2. Cengiz Kahraman
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Correspondence to Cengiz Kahraman.

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Kutlu Gündoğdu, F., Kahraman, C. A novel spherical fuzzy analytic hierarchy process and its renewable energy application. Soft Comput 24, 4607–4621 (2020). https://doi.org/10.1007/s00500-019-04222-w

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