 Four types of grey β-covering models and their applicationsMohamed Atef and Sifeng Liu Mathematics and Computers in Simulation (MATCOM), 2024, vol. 223, issue C, 108-129 Abstract: To handle the limitations of a fuzzy β-neighbourhood, many researchers apply this notion to different structures to allow them to make a suitable decision in some real problems. In this article, we introduce the notions of grey β-neighbourhood and grey complementary β-neighbourhood, and then we establish the grey β-covering approximation space (GβCAS). The relevant characteristics are also examined. Furthermore, we construct two new GβCAS models to combine the definitions of a grey β-neighbourhood and a grey complementary β-neighbourhood and explain their relations. In addition, employing grey β-neighbourhoods, we investigate four types of β-neighbourhoods and use them to build four rough approximation models. Hence, in order to give a new approach to MADM in grey β-covering approximation space, we establish a novel methodology based on GCβAS models called multi-attribute grey decision making (MAGDM). Finally, with comparisons to current studies, a numerical example is given to demonstrate the feasibility and usefulness of our suggested methodologies. Keywords: Grey sets; Grey β-neighbourhood; Grey complementary β-neighbourhood; Grey β-coverings; MADM (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:223:y:2024:i:c:p:108-129 DOI: 10.1016/j.matcom.2024.03.033 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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