Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
390836 | Fuzzy Sets and Systems | 2009 | 8 Pages |
Abstract
Focusing on conjunctive, left-continuous, increasing [0,1]2→[0,1] functions T we redefine the rotation invariance property in terms of contour lines. Under the assumption of the existence of a neutral element , this rotation invariance property requires some partial commutativity and associativity. The functions that are rotation invariant w.r.t. all of their contour lines are characterized.
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