Fuzzy fields and fuzzy linear spaces
type: Item
instance of: scholarly article
title: Fuzzy fields and fuzzy linear spaces
zbMATH Open document ID: 0602.15002
DOI: 10.1016/0165-0114(86)90037-0
author: Sudarsan Nanda
published in: Fuzzy Sets and Systems
publication date: 1986-01-01T00:00:00Z
review text: Fuzzy linear spaces over the real field were considered by \textit{A. K. Katsaras} and \textit{D. B Liu} [J. Math. Anal. Appl. 58, 135-146 (1977; Zbl 0358.46011)], and by \textit{R. Lowen} [Fuzzy Sets Syst. 3, 291-310 (1980; Zbl 0439.52001)]. This paper defines a fuzzy linear space over a fuzzy field. This new notion is preserved by homomorphic images and inverse images.
Mathematics Subject Classification ID: 15A03
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 3970936
zbMATH Keywords: Fuzzy linear spaces
zbMATH Keywords: fuzzy field
zbMATH Keywords: homomorphic images
zbMATH Keywords: inverse images
reviewed by: Józef Drewniak
MaRDI profile type: Publication
full work available at URL: 0165-0114(86)90037-0
OpenAlex ID: W2170897043
cites work: Fuzzy pretopological spaces and their representation
cites work: Fuzzy topological spaces
cites work: Fuzzy topological concepts
cites work: The fuzzy Tychonoff theorem
cites work: Fuzzy neighborhood spaces
cites work: Q5585133
cites work: Covering properties of fuzzy topological spaces
cites work: Fuzzy topology: product and quotient theorems
cites work: Fuzzy points and local properties of fuzzy topology
cites work: Fuzzy sets
description: scientific article; zbMATH DE number 3970936