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

Ganeshsree Selvachandran; Omar Awad Mashaan; Abdul Ghafur Ahmad

doi:10.1007/978-981-10-2777-2_19

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

Ganeshsree Selvachandran, Omar Awad Mashaan, Abdul Ghafur Ahmad

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other › peer-review

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 language	English
Title of host publication	Soft Computing in Data Science
Subtitle of host publication	2nd International Conference, SCDS 2016, Proceedings
Editors	Bee Wah Yap, Azlinah Hj. Mohamed, Michael W. Berry
Place of Publication	Singapore Singapore
Publisher	Springer
Pages	213-223
Number of pages	11
Edition	1st
ISBN (Electronic)	9789811027772
ISBN (Print)	9789811027765
DOIs	https://doi.org/10.1007/978-981-10-2777-2_19
Publication status	Published - 2016
Externally published	Yes
Event	International Conference on Soft Computing in Data Science 2016 - Kuala Lumpur, Malaysia Duration: 21 Sept 2016 → 22 Sept 2016 Conference number: 2nd https://link.springer.com/book/10.1007/978-981-10-2777-2 (Proceedings)

Publication series

Name	Communications in Computer and Information Science
Volume	652
ISSN (Print)	1865-0929

Conference

Conference	International Conference on Soft Computing in Data Science 2016
Abbreviated title	SCDS 2016
Country/Territory	Malaysia
City	Kuala Lumpur
Period	21/09/16 → 22/09/16
Internet address	https://link.springer.com/book/10.1007/978-981-10-2777-2 (Proceedings)

Keywords

Complex fuzzy set
Fuzzy annulus
Interval-valued fuzzy set

Access to Document

10.1007/978-981-10-2777-2_19

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 B. W. Yap, A. H. Mohamed, & M. W. Berry (Eds.), Soft Computing in Data Science: 2nd International Conference, SCDS 2016, Proceedings (1st ed., pp. 213-223). (Communications in Computer and Information Science; Vol. 652). Springer. https://doi.org/10.1007/978-981-10-2777-2_19

Selvachandran, Ganeshsree ; Mashaan, Omar Awad ; Ahmad, Abdul 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. editor / Bee Wah Yap ; Azlinah Hj. Mohamed ; Michael W. Berry. 1st. ed. Singapore Singapore : Springer, 2016. pp. 213-223 (Communications in Computer and Information Science).

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title = "Algebraic and graphical interpretation of complex fuzzy annulus (An extension of complex fuzzy sets)",

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.",

keywords = "Complex fuzzy set, Fuzzy annulus, Interval-valued fuzzy set",

author = "Ganeshsree Selvachandran and Mashaan, {Omar Awad} and Ahmad, {Abdul Ghafur}",

note = "Funding Information: The author would like to gratefully acknowledge the financial assistance received from the Ministry of Education, Malaysia and UCSI University, Malaysia under Grant no. FRGS/1/2014/ST06/UCSI/03/1. Publisher Copyright: {\textcopyright} Springer Nature Singapore Pte Ltd. 2016.; International Conference on Soft Computing in Data Science 2016, SCDS 2016 ; Conference date: 21-09-2016 Through 22-09-2016",

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doi = "10.1007/978-981-10-2777-2_19",

language = "English",

isbn = "9789811027765",

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Selvachandran, G, Mashaan, OA & Ahmad, AG 2016, Algebraic and graphical interpretation of complex fuzzy annulus (An extension of complex fuzzy sets). in BW Yap, AH Mohamed & MW Berry (eds), Soft Computing in Data Science: 2nd International Conference, SCDS 2016, Proceedings. 1st edn, Communications in Computer and Information Science, vol. 652, Springer, Singapore Singapore, pp. 213-223, International Conference on Soft Computing in Data Science 2016, Kuala Lumpur, Malaysia, 21/09/16. 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, Abdul Ghafur.
Soft Computing in Data Science: 2nd International Conference, SCDS 2016, Proceedings. ed. / Bee Wah Yap; Azlinah Hj. Mohamed; Michael W. Berry. 1st. ed. Singapore Singapore: Springer, 2016. p. 213-223 (Communications in Computer and Information Science; Vol. 652).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other › peer-review

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AB - 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.

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Selvachandran G, Mashaan OA, Ahmad AG. Algebraic and graphical interpretation of complex fuzzy annulus (An extension of complex fuzzy sets). In Yap BW, Mohamed AH, Berry MW, editors, Soft Computing in Data Science: 2nd International Conference, SCDS 2016, Proceedings. 1st ed. Singapore Singapore: Springer. 2016. p. 213-223. (Communications in Computer and Information Science). doi: 10.1007/978-981-10-2777-2_19

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

Abstract

Publication series

Conference

Keywords

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