Change search
CiteExportLink to record
Permanent link

Direct link
Cite
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
Continuous Fuzzy Sets as Probabilities of Continuous Fuzzy Events
Responsible organisation
2010 (English)Conference paper, (Refereed) Published
Abstract [en]

In the first part of this study we explore continuous fuzzy numbers in the interval- and the alpha-cut forms to detect their similar nature. The conversion from one form to the other is a question of using the appropriate apparatus, which we also provide. Since the fuzzy numbers can reproduce fuzzy events we then will make a trial of extending the concept of fuzzy probability, defined by R. Yager for discrete fuzzy events, on continuous fuzzy events. In order to fulfill the task we utilize conclusions made about fuzzy numbers to propose an initial conception of approximating the Gauss curve by a particularly designed function originated from the pi-class functions. Due to the procedure of the approximation, characterized by an irrelevant cumulative error, we expand fuzzy probabilities of continuous fuzzy events in the form of continuous fuzzy sets. Furthermore, we assume that this sort of probability holds some conditions formulated for probabilities of discrete fuzzy events.

Place, publisher, year, edition, pages
Barcelona: IEEE Society , 2010.
Keyword [en]
fuzzy number, alpha cut, probability of discrete fuzzy events, pi function, approximation of the Gaussian curve, continuous probabilitiy of a continuous fuzzy event
National Category
Mathematics Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:bth-7755ISI: 000287453602028Local ID: oai:bth.se:forskinfoC5E240BCBC0D3390C1257772007185C6ISBN: 978-1-4244-6920-8 (print)OAI: oai:DiVA.org:bth-7755DiVA: diva2:835416
Conference
World Congress in Computational Intelligence 2010 - WCCI 2010
Available from: 2012-09-18 Created: 2010-08-01 Last updated: 2016-09-20Bibliographically approved

Open Access in DiVA

No full text

Search in DiVA

By author/editor
Rakus-Andersson, Elisabeth
MathematicsProbability Theory and Statistics

Search outside of DiVA

GoogleGoogle Scholar

Total: 11 hits
CiteExportLink to record
Permanent link

Direct link
Cite
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