Families of Fuzzy Sets and Lattice Isomorphisms Preparation

Subject Areas : Transactions on Fuzzy Sets and Systems

John Mordeson ¹ , Sunil Mathew ²

1 - Department of Mathematics, Creighton University, Omaha, Nebraska USA.
2 - Department of Mathematics, National Institute of Technology Calicut, Calicut, India.

Received: 2024-03-12 Accepted : 2024-05-07 Published : 2024-05-07

Keywords: Modern slavery, Government response, Vulnerability, Lattice isomorphisms, Fuzzy sets.,

Abstract :

In this paper, we discuss how theoretical results from one family of fuzzy sets can be carried over immediately to another family of fuzzy sets by the use of lattice isomorphisms. We also show that these families can occur naturally and that applications may not necessarily be carried over using these isomorphisms. We illustrate this using techniques from the study of human trafficking and its analysis using mathematics of uncertainty. We also consider the new definition of fuzzy set provided by Trillas and de Soto.

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