Connectives for fuzzy partitions
The fuzzy intersection and union are defined by means of a certain pair (T,S) of non-strict Archimedean operators dual with respect to a strict negation having the same additive generator as T. We prove that the equivalence between the Butnariu's definition and the Ruspini's one concerning the fuzzy partitions holds if and only if the connectives for fuzzy operations are T-infinity and S-infinity. (C) 1999 Elsevier Science B.V. All rights reserved.
fuzzy partitions fuzzy sets t-operators