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Triangular norm-based iterative compensatory operators. (English) Zbl 0931.68123
Summary: 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 annihilation, etc. Several examples are given, including continuous idempotent bisymmetric iterative compensatory operators with zero annihilator.

MSC:
68T35 Theory of languages and software systems (knowledge-based systems, expert systems, etc.) for artificial intelligence
03E72 Theory of fuzzy sets, etc.
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