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Fuzzy linguistic variable matrix and parabola-based fuzzy normal distribution: A method for designing fuzzy linguistic terms

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearch

Abstract

This paper attempts to present the new approach to design sufficient number of systematic fuzzy linguistics in matrix form and map the Fuzzy Linguistic Variable Matrix, which contains linguistic terms, into numeric domain using Fuzzy Normal Distribution based on the Parabola-based Membership Function. Existing fuzzy set theory is difficult to design the systematic and sufficient fuzzy linguistics. Due to this reason, in most practice, giving insufficient fuzzy linguistics induces inaccurate calculation whilst giving excessive fuzzy linguistics induces the parameter design problems and calculation performance. This paper presents Fuzzy Linguistic Variable Matrix and Parabola-based Fuzzy Normal Distribution (FND) as preferred framework to address the problem.

Original languageEnglish
Title of host publicationIntelligent Information Processing III
Place of PublicationBoston MA USA
PublisherSpringer
Pages205-215
Number of pages11
ISBN (Electronic)9780387446417
ISBN (Print)9780387446394
DOIs
Publication statusPublished - 2006
Externally publishedYes
EventInternational Conference on Intelligent Information Processing (IIP) 2006 - Adelaide, Australia
Duration: 20 Sept 200623 Sept 2006
https://link.springer.com/book/10.1007/978-0-387-44641-7

Publication series

NameIFIP International Federation for Information Processing
Volume228
ISSN (Print)1571-5736

Conference

ConferenceInternational Conference on Intelligent Information Processing (IIP) 2006
Abbreviated titleIIP 2006
Country/TerritoryAustralia
CityAdelaide
Period20/09/0623/09/06
Internet address

Keywords

  • Directional hedge linguistics
  • Fuzzy linguistics variable matrix
  • Fuzzy logic
  • Fuzzy normal distribution
  • Fuzzy set
  • Parabola-based membership function

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