Down and up operators associated to fuzzy relations and t-norms: A definition of fuzzy semi-ideals
type: Item
instance of: scholarly article
title: Down and up operators associated to fuzzy relations and t-norms: A definition of fuzzy semi-ideals
zbMATH Open document ID: 0965.03065
DOI: 10.1016/S0165-0114(98)00369-8
published in: Fuzzy Sets and Systems
publication date: 2001-07-22T00:00:00Z
review text: The author considers various generalized definitions of classical notions in set theory and lattices by means of a t-norm, a complete lattice \(L\) and an \(L\)-fuzzy relation \(R\) on a set \(X\). \(LF\)-semi-ideals and \(LF\)-semi-filters are considered and several characterizations are found. Particular cases and examples are shown.
reviewed by: Claudi Alsina
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 1563542
zbMATH Keywords: t-norm
zbMATH Keywords: fuzzy relation
zbMATH Keywords: semi-ideal
zbMATH Keywords: semi-filter
author: Ramón Fuentes-González
MaRDI profile type: Publication
cites work: How to fuzzify a closure space
cites work: On some logical connectives for fuzzy sets theory
cites work: Q4083730
cites work: Q5841991
cites work: Q4850345
cites work: On triangular norm-based propositional fuzzy logics
cites work: Constructive versions of Tarski's fixed point theorems
cites work: Q4692885
cites work: Fuzzy sets and systems. Theory and applications
cites work: Q3932852
cites work: Q3898534
cites work: L-fuzzy sets
cites work: Q3994559
cites work: On relationship between modified sets, topological spaces and rough sets
cites work: Statistical Metrics
cites work: Eigen fuzzy sets and fuzzy relations
cites work: Q5730522
cites work: A lattice-theoretical fixpoint theorem and its applications
cites work: Conjunction and disjunction on \(([0,1],\leq)\)
cites work: Fuzzy sets
cites work: Similarity relations and fuzzy orderings
cites work: The concept of a linguistic variable and its application to approximate reasoning. I
Wikidata QID: Q126989518
full work available at URL: s0165-0114(98)00369-8
OpenAlex ID: W1987302820
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description: scientific article; zbMATH DE number 1563542