Triangular norm-based iterative compensatory operators

Aggregation operators based on a fixed t-norm and on suitable transformations of processed data are introduced. A special attention is paid to the class of iterative compensatory operators containing also the classical arithmetic, geometric and harmonic means. Several properties of introduced operators are studied, e.g., the symmetry, the associativity, the idempotency, the anihilation, etc. Several examples are given, including continuous idempotent bisymmetric iterative compensatory operators with zero anihilator. (C) 1999 Elsevier Science B.V. All rights reserved.