3 Ergebnisse.

Making a paradigm shift in any branch of knowledge needs a lot of self-belief and courage. Lofty Zadeh did have self-belief as well as courage to propose the Mathematics of Fuzziness way back in 1965. By now, it has entered into the applied matters in nearly all branches of scientific knowledge. Such paradigm shifts have occurred not many times in the history of science.In the Zadehian theory of fuzzy sets there are two flaws.Instead of saying...

Imposing a probability law on an interval in which a normal fuzzy number has been defined, and then trying to find consistency between randomness and fuzziness is not logical. If we need to establish a probability law followed by a random variable defined in a given interval, there are mathematical formalisms in the theory of statistical inferences to do so. Instead, defining a normal fuzzy number around a point, and then using a conversion fa...

Two things we are aiming to discuss. First, it has been accepted that intersection of a fuzzy set and its complement is not the void set. Similarly it has also been accepted that the union of a fuzzy set and its complement is not the universal set.Accordingly, the fuzzy sets have been accepted not to form a field. However, can the intersection of anything, a fuzzy set or whatever else, and its complement be non-null? Secondly, when it was seen...