On the use of fuzzy integral as a fuzzy connective

The author shows some results which clarify the use of the fuzzy integral as a fuzzy connective. Fuzzy integrals of discrete functions can be considered as a class of fuzzy connectives, of which several properties are already known (continuity, monotonicity, idempotency, etc.), making them very near the concept of the averaging operator. Relations with known classes of connectives are established, and equivalence classes of fuzzy integrals are investigated. Approximation problems are examined