1 23 Statistical Papers ISSN 0932-5026 Volume 59 Number 4 Stat Papers (2018) 59:1623-1648 DOI 10.1007/s00362-017-0926-4 Minimax test for fuzzy hypotheses Abbas Parchami, S. Mahmoud Taheri, Reinhard Viertl & Mashaallah Mashinchi