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Algebraic and Graphical Interpretation of Complex Fuzzy Annulus (an Extension of Complex Fuzzy Sets)

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Soft Computing in Data Science (SCDS 2016)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 652))

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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.

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Acknowledgments

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.

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Authors and Affiliations

  1. Department of Actuarial Science and Applied Statistics, Faculty of Business and Information Science, UCSI University, Jalan Menara Gading, Cheras, 56000, Kuala Lumpur, Malaysia

    Ganeshsree Selvachandran

  2. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600, UKM Bangi, Selangor DE, Malaysia

    Omar Awad Mashaan & Abdul Ghafur Ahmad

Authors
  1. Ganeshsree Selvachandran
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  2. Omar Awad Mashaan
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  3. Abdul Ghafur Ahmad
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Corresponding author

Correspondence to Ganeshsree Selvachandran .

Editor information

Editors and Affiliations

  1. University of Tennessee, Knoxville, Tennessee, USA

    Michael W. Berry

  2. Universiti Teknologi MARA, Shah Alam, Malaysia

    Azlinah Hj. Mohamed

  3. Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Shah Alam, Malaysia

    Bee Wah Yap

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Selvachandran, G., Mashaan, O.A., Ahmad, A.G. (2016). Algebraic and Graphical Interpretation of Complex Fuzzy Annulus (an Extension of Complex Fuzzy Sets). In: Berry, M., Hj. Mohamed, A., Yap, B. (eds) Soft Computing in Data Science. SCDS 2016. Communications in Computer and Information Science, vol 652. Springer, Singapore. https://doi.org/10.1007/978-981-10-2777-2_19

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  • DOI: https://doi.org/10.1007/978-981-10-2777-2_19

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-2776-5

  • Online ISBN: 978-981-10-2777-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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