In this paper, we introduce the concept of mapping on hesitant fuzzy soft multisets and present some results for this type of\nmappings. The notions of inverse image and identity mapping are defined, and their basic properties are investigated. Hence,\nkinds of mappings and the composition of two hesitant fuzzy soft multimapping with the same dimension are presented. The\nconcept of hesitant fuzzy soft multitopology is defined, and certain types of hesitant fuzzy soft multimapping such as continuity,\nopen, closed, and homeomorphism are presented in detail. Also, their properties and results are studied. In addition, the concept\nof hesitant fuzzy soft multiconnected spaces is introduced.
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