Local and global fuzzy implications in an intuitionistic fuzzy setting

Ganeshsree Selvachandran, Abdul Razak Salleh

Research output: Contribution to journalArticle

Abstract

In this paper we introduce the concept of intuitionistic fuzzy IF-THEN rules and intuitionistic fuzzy implications. We introduce the concept and formulae of intuitionistic fuzzy IF-THEN rules and study the different interpretations of these rules to produce different types of intuitionistic fuzzy implications, which are then classified as local or global implications. Subsequently, six types of intuitionistic fuzzy implications are introduced, namely the intuitionistic fuzzy Dienes-Rescher, Lukasiewicz, Zadeh, Gödel, Mamdani minimum and Mamdani product implications. The first four implications are global implications while both the Mamdani implications are local implications. The behaviour and interaction between two intuitionistic fuzzy sets when an intuitionistic fuzzy IF-THEN rule and intuitionistic fuzzy implication is applied is then analyzed.

Original languageEnglish
Pages (from-to)2519-2529
Number of pages11
JournalInternational Journal of Mathematical Analysis
Volume8
Issue number49-52
DOIs
Publication statusPublished - 2014

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Fuzzy Implication
Fuzzy If-then Rules
Intuitionistic Fuzzy Set
Interaction

Keywords

  • Fuzzy implications
  • Fuzzy sets
  • Hedges
  • Intuitionistic fuzzy implications
  • Intuitionistic fuzzy sets

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Local and global fuzzy implications in an intuitionistic fuzzy setting. / Selvachandran, Ganeshsree; Salleh, Abdul Razak.

In: International Journal of Mathematical Analysis, Vol. 8, No. 49-52, 2014, p. 2519-2529.

Research output: Contribution to journalArticle

Selvachandran, Ganeshsree ; Salleh, Abdul Razak. / Local and global fuzzy implications in an intuitionistic fuzzy setting. In: International Journal of Mathematical Analysis. 2014 ; Vol. 8, No. 49-52. pp. 2519-2529.
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