A Method for Ordering of LR-Type Fuzzy Numbers: An Important Decision Criteria

Methods for ordering fuzzy numbers play an important role as decision criteria, with applications in areas such as optimization and data mining, among others. Although there are several proposals for ordering methods in the fuzzy literature, many of them are difficult to apply and present some probl...

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Main Authors: José A. González Campos, Ronald A. Manríquez Peñafiel
Format: Article
Language:English
Published: MDPI AG 2016-08-01
Series:Axioms
Subjects:
Online Access:http://www.mdpi.com/2075-1680/5/3/22
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spelling doaj-da967540671c4273a7e54eb1f7e37a072020-11-25T01:41:17ZengMDPI AGAxioms2075-16802016-08-01532210.3390/axioms5030022axioms5030022A Method for Ordering of LR-Type Fuzzy Numbers: An Important Decision CriteriaJosé A. González Campos0Ronald A. Manríquez Peñafiel1Laboratorio de Investigación Lab[e]saM, Departamento de Matemática y Estadística, Universidad de Playa Ancha, Valparaíso 2340000, ChileLaboratorio de Investigación Lab[e]saM, Departamento de Matemática y Estadística, Universidad de Playa Ancha, Valparaíso 2340000, ChileMethods for ordering fuzzy numbers play an important role as decision criteria, with applications in areas such as optimization and data mining, among others. Although there are several proposals for ordering methods in the fuzzy literature, many of them are difficult to apply and present some problems with ranking computation. For that reason, this work proposes an ordering method for fuzzy numbers based on a simple application of a polynomial function. We study some properties of our new method, comparing our results with those generated by other methods previously discussed in literature.http://www.mdpi.com/2075-1680/5/3/22LR-type fuzzy numbersmatricesranking fuzzy numbers
collection DOAJ
language English
format Article
sources DOAJ
author José A. González Campos
Ronald A. Manríquez Peñafiel
spellingShingle José A. González Campos
Ronald A. Manríquez Peñafiel
A Method for Ordering of LR-Type Fuzzy Numbers: An Important Decision Criteria
Axioms
LR-type fuzzy numbers
matrices
ranking fuzzy numbers
author_facet José A. González Campos
Ronald A. Manríquez Peñafiel
author_sort José A. González Campos
title A Method for Ordering of LR-Type Fuzzy Numbers: An Important Decision Criteria
title_short A Method for Ordering of LR-Type Fuzzy Numbers: An Important Decision Criteria
title_full A Method for Ordering of LR-Type Fuzzy Numbers: An Important Decision Criteria
title_fullStr A Method for Ordering of LR-Type Fuzzy Numbers: An Important Decision Criteria
title_full_unstemmed A Method for Ordering of LR-Type Fuzzy Numbers: An Important Decision Criteria
title_sort method for ordering of lr-type fuzzy numbers: an important decision criteria
publisher MDPI AG
series Axioms
issn 2075-1680
publishDate 2016-08-01
description Methods for ordering fuzzy numbers play an important role as decision criteria, with applications in areas such as optimization and data mining, among others. Although there are several proposals for ordering methods in the fuzzy literature, many of them are difficult to apply and present some problems with ranking computation. For that reason, this work proposes an ordering method for fuzzy numbers based on a simple application of a polynomial function. We study some properties of our new method, comparing our results with those generated by other methods previously discussed in literature.
topic LR-type fuzzy numbers
matrices
ranking fuzzy numbers
url http://www.mdpi.com/2075-1680/5/3/22
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