Extended lattice-ordered structures for \(L\)-fuzzy sets and \(L\)-fuzzy numbers
type: Item
instance of: scholarly article
title: Extended lattice-ordered structures for \(L\)-fuzzy sets and \(L\)-fuzzy numbers
zbMATH Open document ID: 0793.04005
DOI: 10.1016/0165-0114(93)90363-M
author: Yuang-Cheh Hsueh
published in: Fuzzy Sets and Systems
publication date: 1993-01-01T00:00:00Z
review text: An \(L\)-fuzzy set \(A\) is a mapping of a set \(X\) into another set \(L\). In this the operations on \(L^ X\), which are extended from operations on \(X\) by the extension principle, are considered. The author obtains a similar complete lattice-ordered monoid constituted by extended operations.
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 06F99
zbMATH DE Number: 487504
zbMATH Keywords: \(L\)-fuzzy numbers
zbMATH Keywords: \(L\)-fuzzy set
zbMATH Keywords: extension principle
zbMATH Keywords: lattice-ordered monoid
zbMATH Keywords: extended operations
reviewed by: Marian Matłoka
MaRDI profile type: Publication
cites work: On the analytic formalism of the theory of fuzzy sets
cites work: Q5331549
cites work: Boolean fuzzy sets
cites work: Operations on fuzzy numbers
cites work: Q3342539
cites work: Q4039980
cites work: Q3898534
cites work: Topological properties of fuzzy numbers
cites work: Eigen fuzzy number sets
cites work: L-fuzzy sets
cites work: The logic of inexact concepts
cites work: The algebraic basis of mathematical morphology I. Dilations and erosions
cites work: Mathematical morphology on \(l\)-images
cites work: Q4002022
cites work: Statistical Metrics
cites work: Some properties of fuzzy sets of type 2
cites work: The Hausdorff separation axiom for fuzzy topological spaces
cites work: Connectivity and the L-fuzzy unit interval
cites work: Fuzzy addition in the L-fuzzy real line
cites work: Separation axioms and the fuzzy real lines
cites work: The algebraic basis of mathematical morphology
cites work: Solution of fuzzy equations with extended operations
cites work: Statistical metric spaces
cites work: Q3336431
cites work: Q3680652
cites work: A characterization of the extension principle
cites work: Fuzzy sets
cites work: The concept of a linguistic variable and its application to approximate reasoning. III
description: scientific article; zbMATH DE number 487504