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Triangular norm-based iterative compensatory operators

✍ Scribed by Anna Kolesárová; Magda Komorníková

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
742 KB
Volume
104
Category
Article
ISSN
0165-0114

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✦ Synopsis

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.

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