In this paper, we introduce the concept of a mapping on hesitant fuzzy soft multisets and present some results. The notions of inverse image and the identity mapping are introduced and their basic properties are investigated. Therefore, the types of mappings and the composition of two hesitant fuzzy soft multi mappings with the same dimension are presented. The concept of hesitant fuzzy soft multi topology is defined and some types of a hesitant fuzzy soft multi mapping are presented in details such as continuity, open, closed and homeomorphism. Also, their properties and results are investigated. Furthermore, the concept of hesitant fuzzy soft multi connected spaces is introduced and studied.

soft multiset, hesitant fuzzy soft multiset.

Received: January 28, 2020; Accepted: August 29, 2020; Published: January 8, 2021

How to cite this article: Kandil, S. A. El-Sheikh, M. Hosny and M. Raafat, Mappings and connectedness on hesitant fuzzy soft multi spaces, Advances in Fuzzy Sets and Systems 26(1) (2021), 1-39. DOI: 10.17654/FS026010001

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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