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Hesitant Fuzzy Topological Spaces

Author

Listed:
  • Jeong-Gon Lee

    (Division of Applied Mathematics, Nanoscale Science and Technology Institute, Wonkwang University, Iksan 54538, Korea)

  • Kul Hur

    (Department of Applied Mathematics, Wonkwang University, 460, Iksan-daero, Iksan-Si, Jeonbuk 54538, Korea)

Abstract

In this study, we define a hesitant fuzzy topology and base, obtain some of their properties, respectively, and give some examples. Next, we introduce the concepts of a hesitant fuzzy neighborhood, Q-neighborhood, closure, and interior and obtain some of their properties, respectively. Furthermore, we define a hesitant fuzzy continuous mapping and investigate some of its properties. Furthermore, we define a hesitant fuzzy subspace and obtain some of its properties. In particular, we obtain the Pasting lemma. We investigate the concept of hesitant fuzzy product space and study some of its properties.

Suggested Citation

  • Jeong-Gon Lee & Kul Hur, 2020. "Hesitant Fuzzy Topological Spaces," Mathematics, MDPI, vol. 8(2), pages 1-21, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:188-:d:316226
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