Algebraic and graphical interpretation of complex fuzzy annulus (An extension of complex fuzzy sets)

Ganeshsree Selvachandran, Omar Awad Mashaan, Abd. Ghafur Ahmad

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

Abstract

Complex fuzzy sets, which include complex-valued grades of memberships, are extensions of standard fuzzy sets that better represent time-periodic problem parameters. However, the membership functions of complex fuzzy sets are difficult to enumerate, as they are subject to personal preferences and bias. To overcome this problem, we generalize complex fuzzy sets to the complex fuzzy annulus, whose image is a sub-disk lying in the unit circle in the complex plane. The set theoretic operations of this concept are introduced and their algebraic properties are verified. The proposed model is then applied to a real-life problem, namely, the influencers of the Malaysian economy and the time lag between the occurrences of these influencers and their first manifestations in the economy.

Original languageEnglish
Title of host publicationSoft Computing in Data Science - 2nd International Conference, SCDS 2016, Proceedings
PublisherSpringer Verlag
Pages213-223
Number of pages11
Volume652
ISBN (Print)9789811027765
DOIs
Publication statusPublished - 2016
Event2nd International Conference on Soft Computing in Data Science, SCDS 2016 - Kuala Lumpur, Malaysia
Duration: 21 Sep 201622 Sep 2016

Publication series

NameCommunications in Computer and Information Science
Volume652
ISSN (Print)18650929

Other

Other2nd International Conference on Soft Computing in Data Science, SCDS 2016
CountryMalaysia
CityKuala Lumpur
Period21/9/1622/9/16

Fingerprint

Fuzzy sets
Membership functions

Keywords

  • Complex fuzzy set
  • Fuzzy annulus
  • Interval-valued fuzzy set

ASJC Scopus subject areas

  • Computer Science(all)

Cite this

Selvachandran, G., Mashaan, O. A., & Ahmad, A. G. (2016). Algebraic and graphical interpretation of complex fuzzy annulus (An extension of complex fuzzy sets). In Soft Computing in Data Science - 2nd International Conference, SCDS 2016, Proceedings (Vol. 652, pp. 213-223). (Communications in Computer and Information Science; Vol. 652). Springer Verlag. https://doi.org/10.1007/978-981-10-2777-2_19

Algebraic and graphical interpretation of complex fuzzy annulus (An extension of complex fuzzy sets). / Selvachandran, Ganeshsree; Mashaan, Omar Awad; Ahmad, Abd. Ghafur.

Soft Computing in Data Science - 2nd International Conference, SCDS 2016, Proceedings. Vol. 652 Springer Verlag, 2016. p. 213-223 (Communications in Computer and Information Science; Vol. 652).

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

Selvachandran, G, Mashaan, OA & Ahmad, AG 2016, Algebraic and graphical interpretation of complex fuzzy annulus (An extension of complex fuzzy sets). in Soft Computing in Data Science - 2nd International Conference, SCDS 2016, Proceedings. vol. 652, Communications in Computer and Information Science, vol. 652, Springer Verlag, pp. 213-223, 2nd International Conference on Soft Computing in Data Science, SCDS 2016, Kuala Lumpur, Malaysia, 21/9/16. https://doi.org/10.1007/978-981-10-2777-2_19
Selvachandran G, Mashaan OA, Ahmad AG. Algebraic and graphical interpretation of complex fuzzy annulus (An extension of complex fuzzy sets). In Soft Computing in Data Science - 2nd International Conference, SCDS 2016, Proceedings. Vol. 652. Springer Verlag. 2016. p. 213-223. (Communications in Computer and Information Science). https://doi.org/10.1007/978-981-10-2777-2_19
Selvachandran, Ganeshsree ; Mashaan, Omar Awad ; Ahmad, Abd. Ghafur. / Algebraic and graphical interpretation of complex fuzzy annulus (An extension of complex fuzzy sets). Soft Computing in Data Science - 2nd International Conference, SCDS 2016, Proceedings. Vol. 652 Springer Verlag, 2016. pp. 213-223 (Communications in Computer and Information Science).
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