Hesitant Fuzzy Topological Spaces

Jeong-Gon Lee and Kul Hur
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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

Mathematics, 2020, vol. 8, issue 2, 1-21

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.

Keywords: hesitant fuzzy set; hesitant fuzzy topology; hesitant fuzzy bees; hesitant fuzzy neighborhood and Q-neighborhood; hesitant fuzzy closure; hesitant fuzzy interior; hesitant fuzzy continuous mapping; hesitant fuzzy subspace; hesitant fuzzy product space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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