On the complexity of growth of the number of distinct fuzzy switching functions
type: Item
instance of: scholarly article
title: On the complexity of growth of the number of distinct fuzzy switching functions
zbMATH Open document ID: 0552.94025
DOI: 10.1016/0165-0114(84)90013-7
author: Michael Thum
author: A. Kandel
published in: Fuzzy Sets and Systems
publication date: 1984-01-01T00:00:00Z
review text: In this paper the authors give some analytical properties of fuzzy switching functions. The main result refers to a bijection between the set of fuzzy switching functions and the set of the functions \(f:\{0,1/2,1\}^ n\to \{0,1/2,1\}\) which verify some properties. Based on this property, the authors obtain improved lower and upper bounds for the number of fuzzy switching functions of n variables. The exact number of these functions remains open.
Mathematics Subject Classification ID: 94C10
Mathematics Subject Classification ID: 94D05
zbMATH DE Number: 3880598
zbMATH Keywords: fuzzy switching functions
reviewed by: Nicolae Ţăndăreanu
MaRDI profile type: Publication
full work available at URL: 0165-0114(84)90013-7
OpenAlex ID: W2011255808
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description: scientific article; zbMATH DE number 3880598