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Evaluating Geothermal Energy Systems Using Spherical Fuzzy PROMETHEE

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Decision Making with Spherical Fuzzy Sets

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 392))

Abstract

Spherical fuzzy sets (SFSs) have been recently introduced to provide a larger preference domain for decision-makers. The preference ranking organization method of enrichment evaluation (PROMETHEE) is one of the known methods for multi-criteria decision making (MCDM). This study extends the conventional PROMETHEE into the spherical fuzzy environment. In the proposed method, both the weights of the criteria and the preference relations are SFSs. The relative degree of closeness is used to determine the preference indices. Since it is more appropriate to express the preference using linguistic terms, a linguistic preference function is used. Two examples are solved to illustrate the applicability and efficiency of the proposed method in solving MCDM problems. In the first example, the weights of the criteria and the ratings of the alternatives are SFSs. In the second example, the evaluation of the alternative energy exploitation projects, the weights of the criteria and the performance of the scenarios are crisp values. The results of the second example are compared with the results of the conventional PROMETHEE, the fuzzy PROMETHEE, the intuitionistic fuzzy PROMETHEE, and the Pythagorean fuzzy PROMETHEE.

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Authors and Affiliations

  1. Department of Basic Sciences, Higher Technological Institute, Tenth of Ramadan City, Egypt

    Iman Mohamad Sharaf

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  1. Iman Mohamad Sharaf
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Correspondence to Iman Mohamad Sharaf .

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Editors and Affiliations

  1. Department of Industrial Engineering, Faculty of Management, Istanbul Technical University, Istanbul, Turkey

    Cengiz Kahraman

  2. Turkish Air Force Academy, National Defence University, Istanbul, Turkey

    Fatma Kutlu Gündoğdu

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Sharaf, I.M. (2021). Evaluating Geothermal Energy Systems Using Spherical Fuzzy PROMETHEE. In: Kahraman, C., Kutlu Gündoğdu, F. (eds) Decision Making with Spherical Fuzzy Sets. Studies in Fuzziness and Soft Computing, vol 392. Springer, Cham. https://doi.org/10.1007/978-3-030-45461-6_16

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