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Factor Analysis with Qualitative Factors as Fuzzy Numbers
Responsible organisation
2002 (English)Conference paper, (Refereed) PublishedAlternative title
Faktoranalys med kvalitativa faktorer som oskarpa tal (Swedish)
Abstract [en]

The classical crisp version of Factor Analysis is seldom used in the case of qualitative factors by reason of the lack of appropriate level criteria referring to these factors. We now propose a fuzzy interpretation of the method, which gives a possibility to investigate the strength of the factor influence on a tested variable. By assuming that fuzzy numbers in L-R form represent both the variable and the factors, as the qualitative parameters, we are capable of performing all the operations that follow the Factor Analysis algorithm. Even the introduction of the conception proposing a new fuzzy space with particularly defined operations on fuzzy numbers helps to obtain satisfactory results.

Abstract [sv]

Den klassiska versionen av faktoranalys är sällan använd i fall med kvalitativa faktorer. Hindret utgör brist på lämpliga kriterier på nivåer av dessa faktorer. Vi föreslår därför en oskarp version av metoden i vilken kvalitativa faktorer som påverkar den ofta kvalitativa variabeln är uttryckta som först verbala beskrivningar och efteråt vaga tal. Vi kan fortfarande avgöra vilken påverkan faktorerna har på den testade variabeln. Den introducerade "fuzzy" verbala mängd, som har fått sina axiom, hjälper till att lösa den ovanstående frågan.

Place, publisher, year, edition, pages
Santiago, Chile: IOS Press , 2002.
Keyword [en]
Fuzzy verbal numbers, Fuzzy space of verbal numbers, Fuzzy factor analysis
National Category
Mathematics
Identifiers
URN: urn:nbn:se:bth-9497Local ID: oai:bth.se:forskinfoD4BDD32337B5D580C1256E2700665E96ISBN: 4 274 90558 6 C3055 (Ohmsha) (print)OAI: oai:DiVA.org:bth-9497DiVA: diva2:837362
Conference
Soft Computing Systems, Design, Management and Applications
Available from: 2012-09-18 Created: 2004-01-26 Last updated: 2016-09-20Bibliographically approved

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf