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On the structure of involutive, contracting and expanding negations

✍ Scribed by Ildar Batyrshin

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 374 KB
Volume: 139
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(02)00507-9

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✦ Synopsis

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 ∈ [0; 1]. Contracting and expanding negations are given by suitable de ections from this symmetry.

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