Ifigenia:Community portal

cuts of IF-sets
Dear friends,

has anyone considered an α-cut of an IF set (M,N), as a set of those x, for which the truth value of a composite statement "x belongs to the set" AND "it is not true that x does not belong to the set" is at least α? That is, the set of those x for which

T(M(x),1-N(x)) ≥ α

where T is some triangular norm???

Vladimir Janis


 * Dear Vladimir!
 * I think that Humberto Bustince and Adrian Ban can give the most adequate answer of your question. By this reason I asked them in an email to do this. Kr.At. 12:19, 25 January 2009 (UTC)