On t-fuzzy subfield and t-fuzzy vector subspaces
type: Item
instance of: scholarly article
title: On t-fuzzy subfield and t-fuzzy vector subspaces
zbMATH Open document ID: 0687.15002
DOI: 10.1016/0165-0114(89)90220-0
author: M. T. Abu Osman
published in: Fuzzy Sets and Systems
publication date: 1989-01-01T00:00:00Z
review text: The paper describes fuzzy fields, fuzzy vector spaces and fuzzy algebras with respect to a triangular norm as suitable fuzzy groups [cf. \textit{J. M. Anthony}, \textit{H. Sherwood}, J. Math. Anal. Appl. 69, 124-130 (1979; Zbl 0413.20041)]. The author modifies definitions and results introduced by \textit{S. Nanda} [Fuzzy Sets Syst. 19, 89-94 (1986; Zbl 0602.15002 )] removing some errors and misprints (new misprints: 16 times ``W'' instead of ``A'', 3 times ``F'' instead of ``E'' on p. 116).
Mathematics Subject Classification ID: 15A03
Mathematics Subject Classification ID: 12E99
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 4125576
zbMATH Keywords: sup property
zbMATH Keywords: fuzzy fields
zbMATH Keywords: fuzzy vector spaces
zbMATH Keywords: fuzzy algebras
zbMATH Keywords: triangular norm
zbMATH Keywords: fuzzy groups
reviewed by: Józef Drewniak
MaRDI profile type: Publication
full work available at URL: 0165-0114(89)90220-0
OpenAlex ID: W1997018938
cites work: On the direct product of fuzzy subgroups
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description: scientific article; zbMATH DE number 4125576