A counter-example of Gottwald's theorem
The author claims to give a counter-example of one of the reviewer's results [Fuzzy Sets Syst. 17, 285-296 (1985; Zbl 0607.03015)]; but (un- ?)fortunately the criticism does not work: (i) as one of the basic ingredients, a binary operation * in the universe of discourse has to be given - the author never explains it and hence it is impossible to see how he gets some of the fuzzy sets he uses; (ii) the author (correctly) remarks that \(\vDash p\to_ 2q\wedge_ 2r\) cannot be inferred from \(\vDash p\to_ 2q\) and \(\vDash p\to_ 2r\)- but, again, the paper criticized uses this inference only in the case \(q=1\) which allows it.
scientific article; zbMATH DE number 4033737