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In the past decades, new models and algorithms have been developed for solving various types of facility location problems using different versions of the fuzzy c-means algorithm and its hybrid combinations. On the other hand, the need for renewable energy sources has become even more important due to the increasing population, environmental pollution, and climate change. In this study, the authors proposed two revised weighted fuzzy c-means clustering-based hybrid algorithms for solving real-life biogas facility location problem. The first algorithm is Nelder-Mead simplex algorithm, and the second is center-of-gravity approach. The problem is solved as multi-facility Weber problem, and results have been analyzed.

Fuzzy Clustering With Derivative–Free Search Algorithm for Location of Biogas Energy Systems