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Uncertainty of Multi-granulation Hesitant Fuzzy Rough Sets Based on Three-Way Decisions

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Intelligent Computing Methodologies (ICIC 2020)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 12465))

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Abstract

Three-way decisions, whose extensive application finds relevance in risk decision making, have become an indispensable tool for handling uncertainty information. This paper investigates the decision-theoretic rough sets approach in the framework of multi-granulation hesitant fuzzy approximation space. Primarily, a basic theoretical framework has been developed by combining decision-theoretic with multi-granulation rough sets using three-way decisions. Thereafter, two types of double parameter rough membership degree of a hesitant fuzzy set have been constructed based on the multi-granulation decision-theoretic hesitant fuzzy rough sets, and their basic properties and relationship are discussed. Further, a modified entropy has been constructed.

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Shan’xi Normal University, Linfen, Shanxi, 041004, People’s Republic of China

    Hong Wang & Huanhuan Cheng

Authors
  1. Hong Wang
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  2. Huanhuan Cheng
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Correspondence to Hong Wang .

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Editors and Affiliations

  1. Machine Learning and Systems Biology, Tongji University, Shanghai, China

    De-Shuang Huang

  2. School of Electrical, Computer and Telecommunications Engineering, University of Wollongong, North Wollongong, NSW, Australia

    Prashan Premaratne

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Wang, H., Cheng, H. (2020). Uncertainty of Multi-granulation Hesitant Fuzzy Rough Sets Based on Three-Way Decisions. In: Huang, DS., Premaratne, P. (eds) Intelligent Computing Methodologies. ICIC 2020. Lecture Notes in Computer Science(), vol 12465. Springer, Cham. https://doi.org/10.1007/978-3-030-60796-8_46

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  • DOI: https://doi.org/10.1007/978-3-030-60796-8_46

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-60795-1

  • Online ISBN: 978-3-030-60796-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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