Abstract

In this article, $ FH_{y}S $ homeomorphism, $ FH_{y}S $ semi homeomorphism, $ FH_{y}S $ $ \delta $ homeomorphism, $ FH_{y}S $ pre homeomorphism, $ FH_{y}S $ $ \delta $ pre homeomorphism, $ FH_{y}S $ $ \delta $ semi homeomorphism, $ FH_{y}S $ $ \delta \alpha $ homeomorphism, $ FH_{y}S $ $ e $- homeomorphism, $ FH_{y}S $ $ e^{*} $ homeomorphism and various forms of $ FH_{y}S $ C homeomorphisms in $ FH_{y}S $ topological spaces are introduced and studied. Also, we have discussed the properties of various forms of $ FH_{y}S $ homeomorphisms. Moreover, a new cotangent similarity measure for $ FH_{y}S $ sets is introduced and applied in the Covid-19 diagnosis using an example.

Keywords and Phrases

$ FH_{y}S $ homeomorphism, $ FH_{y}S $ $ \delta $ homeomorphism, $ FH_{y}S $ $ e $-homeomorphism, $ FH_{y}S $ $ e $-C homeomorphism, cotangent similarity measure.

A.M.S. subject classification

03E72, 54A10, 54A40, 54C05, 54C10.

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