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

• Published in: Soft computing (Berlin, Germany) Vol. 24; no. 6; pp. 4607 - 4621
• Main Authors: Kutlu Gündoğdu, Fatma, Kahraman, Cengiz
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2020; Springer Nature B.V
• Subjects: Alternative energy sources; Analytic hierarchy process; Artificial Intelligence; Computational Intelligence; Control; Energy consumption; Energy industry; Energy resources; Engineering; Environmental impact; Fuzzy sets; Hierarchies; Linguistics; Literature reviews; Mathematical Logic and Foundations; Mechatronics; Methodologies and Application; Multiple criteria decision making; Multiplication & division; Renewable energy; Renewable resources; Robotics; Site selection; Wind power; AHP; Neutrosophic AHP; Spherical fuzzy sets; Multi-criteria decision making
• ISSN: 1432-7643; 1433-7479
• DOI: 10.1007/s00500-019-04222-w

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.