On the structure of involutive, contracting and expanding negations
Characterization and new methods of generation of bijective fuzzy negations (involutive, contracting and expanding negations) are done. The approach is based on a symmetry of involutive negations with respect to the line f(x) = x, x epsilon [0, 1]. Contracting and expanding negations are given by suitable deflections from this symmetry. (C) 2002 Elsevier B.V. All rights reserved.
involution fuzzy logic noninvolutive negation