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Spherical Fuzzy Numbers and Multi-criteria Decision-Making

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Decision Making with Spherical Fuzzy Sets

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 392))

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Abstract

In this work, spherical fuzzy numbers that are generalization of the fuzzy numbers and intuitionistic fuzzy numbers are defined. Then, two special forms of spherical fuzzy numbers called spherical trapezoidal fuzzy numbers (STF-numbers) and spherical triangular fuzzy numbers (STrF-numbers) are defined with laws of their operations and their properties. Also, a distance measure and some arithmetic and geometric operators on both the STF-numbers and STrF-numbers are developed. Finally, by using the STF-numbers and STrF-numbers, two multi-criteria decision making methods are developed and two examples are given to illustrate the proposed methods.

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Author information

Authors and Affiliations

  1. Kilis Aralık University, 79000, Kilis, Turkey

    Irfan Deli

  2. Department of Mathematics, Gaziosmanpaşa University, 60250, Tokat, Turkey

    Naim Çağman

Authors
  1. Irfan Deli
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  2. Naim Çağman
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Corresponding author

Correspondence to Irfan Deli .

Editor information

Editors and Affiliations

  1. Department of Industrial Engineering, Faculty of Management, Istanbul Technical University, Istanbul, Turkey

    Cengiz Kahraman

  2. Turkish Air Force Academy, National Defence University, Istanbul, Turkey

    Fatma Kutlu Gündoğdu

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Deli, I., Çağman, N. (2021). Spherical Fuzzy Numbers and Multi-criteria Decision-Making. In: Kahraman, C., Kutlu Gündoğdu, F. (eds) Decision Making with Spherical Fuzzy Sets. Studies in Fuzziness and Soft Computing, vol 392. Springer, Cham. https://doi.org/10.1007/978-3-030-45461-6_3

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