Nonstandard fuzzy sets
type: Item
instance of: scholarly article
title: Nonstandard fuzzy sets
zbMATH Open document ID: 0616.03029
DOI: 10.1016/0165-0114(86)90019-9
author: Giangiacomo Gerla
author: Antonio Di Nola
published in: Fuzzy Sets and Systems
publication date: 1986-01-01T00:00:00Z
review text: Given a set X, the lattice \(F(X,^*[0,1])\) of the nonstandard fuzzy subsets of X is considered, i.e. the L-subsets with L equal to the unit interval \({}^*[0,1]\) of a nonstandard model of analysis. To show the appropriateness of such a concept, two examples of vague concepts are given. The first example is ''positive divergence'' for functions and the second is ''vagueness'' for fuzzy sets. These concepts are representable by suitable nonstandard fuzzy sets while they are not representable by Zadeh's fuzzy sets.
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 03H99
Mathematics Subject Classification ID: 94D05
Mathematics Subject Classification ID: 94A17
zbMATH DE Number: 3997778
zbMATH Keywords: vague concepts
zbMATH Keywords: positive divergence
zbMATH Keywords: vagueness
zbMATH Keywords: nonstandard fuzzy sets
MaRDI profile type: Publication
full work available at URL: 0165-0114(86)90019-9
OpenAlex ID: W2062264718
cites work: Model theory
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description: scientific article; zbMATH DE number 3997778