“…With the proposed fuzzy Cauchy distribution membership function, the ensemble ranking, shown in the first row of Table 8, is as follows: (1) heat pump (air to water), (2) solar heating, (3) district heating (direct), (4) heat pump (ground source), (5) heat pump (air to water, low-price product), (6) district heating (indirect), (7) heat pump (air-to-air), (8) gas boiler, (9) oil boiler, (10) heat pump (gas-hybrid), (11) biomass boiler (manual), (12) biomass boiler (auto), and (13) woodstove. In order to validate the robustness of the ranking result, sensitive analysis of the possible influencing factors, which are the high variance weight and fuzzy parameter setting, is needed.…”