Youth Homelessness and Type-2 Fuzzy Sets

John N. Mordeson, Sunil Mathew () and G. Gayathri ()
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John N. Mordeson: Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA
Sunil Mathew: Department of Mathematics, National Institute of Technology Calicut, Kerala 673601, India
G. Gayathri: Department of Mathematics, National Institute of Technology Calicut, Kerala 673601, India

New Mathematics and Natural Computation (NMNC), 2023, vol. 19, issue 03, 875-889

Abstract: The United Nation’s Sustainable Development Goals (SDGs) encourage countries to solve many social problems. One of these problems is homelessness. We rank states in the United States with respect to youth homelessness and the achievement of these goals. We use fuzzy similarity measures to determine the degree of similarity between these rankings. Given a similarity measure between two categories, we introduce a method using type-2 fuzzy sets that determines a similarity of a subcategory of one category with the other category. In particular, given a similarity measure between youth homelessness and the SDGs, we determine a similarity measure between youth vulnerable to toxic stress and the SDGs and also youth vulnerable to human trafficking and the SDGs. We also use a relatively new similarity measure, an n-dimensional similarity measure.

Keywords: Homelessness; toxic stress; human trafficking; sustainable development goals; type-2 fuzzy sets; fuzzy similarity measures; state rankings (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S1793005723500400

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