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Approximations of Fuzzy Numbers by General Trapezoidal Fuzzy Numbers

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Innovative Management in Information and Production

Abstract

Recently, many scholars investigated interval, triangular, trapezoidal, and semi-trapezoidal approximations of fuzzy numbers. These researches can be grouped into two classes: one is to study approximations of fuzzy numbers without any constraint; the other one is to study approximations preserving some attributes. In this paper, we propose two general approximations of fuzzy numbers named general f-trapezoidal approximation and general f-triangular approximation. The two approximations will generalize those approximations of the first class under the Euclidean distance. Finally, we propose an efficient algorithm for computing the proposed approximations and illustrate by an example.

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, National University of Tainan, 33, Sec. 2, Shu-Lin St., Tainan city, 70005, Taiwan

    Chi-Tsuen Yeh & Pei-Hau Lin

Authors
  1. Chi-Tsuen Yeh
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  2. Pei-Hau Lin
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Corresponding author

Correspondence to Pei-Hau Lin .

Editor information

Editors and Affiliations

  1. Waseda University, Hibikino, Wakamatsu-ku, Kitakyushu-City 2-7, Fukuoka, 808-0135, Japan

    Junzo Watada

  2. Research Institute of Quantitative Econo, Zhejiang Gongshang University, Jiaogong Road, Hangzhou 149, Zhejiang Province, 310012, China, People's Republic

    Bing Xu

  3. , Dept. of Mathematical Sciences, National Chengchi University, ZhiNan Rd. 64Sec.2, Taipei City, 11605, Taiwan R.O.C.

    Berlin Wu

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Yeh, CT., Lin, PH. (2014). Approximations of Fuzzy Numbers by General Trapezoidal Fuzzy Numbers. In: Watada, J., Xu, B., Wu, B. (eds) Innovative Management in Information and Production. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4857-0_41

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  • DOI: https://doi.org/10.1007/978-1-4614-4857-0_41

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-4856-3

  • Online ISBN: 978-1-4614-4857-0

  • eBook Packages: EngineeringEngineering (R0)

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