Complex intuitionistic fuzzy sets

Abdulazeez S. Alkouri, Abdul Razak Salleh

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

54 Citations (Scopus)

Abstract

This paper presents a new concept of complex intuitionistic fuzzy set (CIFS) which is generalized from the innovative concept of a complex fuzzy set (CFS) by adding the non-membership term to the definition of CFS. The novelty of CIFS lies in its ability for membership and non-membership functions to achieve more range of values. The ranges of values are extended to the unit circle in complex plane for both membership and non-membership functions instead of [0, 1] as in the conventional intuitionistic fuzzy functions. We define basic operations namely complement, union, and intersection on CIFSs. Properties of these operations are derived.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
Pages464-470
Number of pages7
Volume1482
DOIs
Publication statusPublished - 2012
Event2nd International Conference on Fundamental and Applied Sciences 2012, ICFAS 2012 - Kuala Lumpur
Duration: 12 Jun 201214 Jun 2012

Other

Other2nd International Conference on Fundamental and Applied Sciences 2012, ICFAS 2012
CityKuala Lumpur
Period12/6/1214/6/12

Fingerprint

fuzzy sets
membership functions
unions
complement
intersections

Keywords

  • Complex fuzzy sets
  • Complex intuitionistic fuzzy sets
  • Fuzzy sets
  • Intuitionistic fuzzy sets

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Alkouri, A. S., & Salleh, A. R. (2012). Complex intuitionistic fuzzy sets. In AIP Conference Proceedings (Vol. 1482, pp. 464-470) https://doi.org/10.1063/1.4757515

Complex intuitionistic fuzzy sets. / Alkouri, Abdulazeez S.; Salleh, Abdul Razak.

AIP Conference Proceedings. Vol. 1482 2012. p. 464-470.

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

Alkouri, AS & Salleh, AR 2012, Complex intuitionistic fuzzy sets. in AIP Conference Proceedings. vol. 1482, pp. 464-470, 2nd International Conference on Fundamental and Applied Sciences 2012, ICFAS 2012, Kuala Lumpur, 12/6/12. https://doi.org/10.1063/1.4757515
Alkouri AS, Salleh AR. Complex intuitionistic fuzzy sets. In AIP Conference Proceedings. Vol. 1482. 2012. p. 464-470 https://doi.org/10.1063/1.4757515
Alkouri, Abdulazeez S. ; Salleh, Abdul Razak. / Complex intuitionistic fuzzy sets. AIP Conference Proceedings. Vol. 1482 2012. pp. 464-470
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