Mappings and Connectedness on Hesitant Fuzzy Soft Multispaces

Kandil, A; El-Sheikh, SA; Raafat, Mahmoud; Hosny M.;

Abstract


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


Other data

Title Mappings and Connectedness on Hesitant Fuzzy Soft Multispaces
Authors Kandil, A; El-Sheikh, SA; Raafat, Mahmoud ; Hosny M.
Keywords TOPOLOGY
Issue Date 6-Aug-2020
Publisher HINDAWI LTD
Journal ADVANCES IN FUZZY SYSTEMS 
ISSN 1687-7101
DOI 10.1155/2020/8894850
Scopus ID 2-s2.0-85090208854
Web of science ID WOS:000561609600001

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