Linguistic variable, hedges and several distances on complex fuzzy sets

Abd Ulazeez M Alkouri, Abdul Razak Salleh

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

Complex fuzzy set (CFS) is a fuzzy set characterized by complex-valued membership function consisting of amplitude and phase terms, whose range of membership function extended to the unit circle in the complex plane. We often use words to describe variables in our daily life. Hence, the definition of linguistic variables and linguistic hedges on CFS are introduced. The most commonly used hedges are obtained. This paper also illustrates priority needs and advantages to introduce several distance measures in the case of complex fuzzy sets. Solutions to some problems in different fields are suggested through complex fuzzy distance measure and several distance measures between two complex fuzzy sets are introduced. The boundary for each distance of complex fuzzy sets is obtained.

Original languageEnglish
Pages (from-to)2527-2535
Number of pages9
JournalJournal of Intelligent and Fuzzy Systems
Volume26
Issue number5
DOIs
Publication statusPublished - 2014

Fingerprint

Linguistic Variables
Fuzzy sets
Linguistics
Fuzzy Sets
Distance Measure
Membership functions
Membership Function
Fuzzy Measure
Unit circle
Argand diagram
Term
Range of data

Keywords

  • complex fuzzy set
  • distances on complex fuzzy set
  • distances on fuzzy set
  • fuzzy set
  • linguistic hedges
  • Linguistic variables

ASJC Scopus subject areas

  • Artificial Intelligence
  • Engineering(all)
  • Statistics and Probability

Cite this

Linguistic variable, hedges and several distances on complex fuzzy sets. / Alkouri, Abd Ulazeez M; Salleh, Abdul Razak.

In: Journal of Intelligent and Fuzzy Systems, Vol. 26, No. 5, 2014, p. 2527-2535.

Research output: Contribution to journalArticle

Alkouri, Abd Ulazeez M ; Salleh, Abdul Razak. / Linguistic variable, hedges and several distances on complex fuzzy sets. In: Journal of Intelligent and Fuzzy Systems. 2014 ; Vol. 26, No. 5. pp. 2527-2535.
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