Rotation and rotation-annihilation construction of associative and partially compensatory aggregation operators

Authors:
S. Jenei;B. De Baets
Affiliations:
Inst. of Math. & Informatics, Univ. of Pecs, Hungary;-
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2004

Citing 0
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Abstract

In this paper, it is shown that aggregation operators cannot be associative and strictly compensatory at the same time. As a way out, the rotation construction and the rotation-annihilation construction are applied to construct wide classes of associative aggregation operators that are compensatory on a subdomain only. From this point of view, the resulting operators are similar to uninorms, a class of aggregation operators that is being reported on extensively in the literature. The constructions are demonstrated by means of ample examples.