Continuous Maps and Irresolute Maps Via Fuzzy Hypersoft θ Open set , K. K., , , , B. Premamalini, K. Chitirakala, A. Vadivel International Journal of Neutrosophic Science, 2025 The purpose of this paper is to introduce and study fuzzy hypersoft θ continuous maps, fuzzy hypersoft θ semi continuous maps, fuzzy hypersoft θ pre continuous maps and fuzzy hypersoft θ irresolute maps in fuzzy hypersoft topological spaces with examples. Further, we derived some useful results and properties related to them.
FUZZY HYPERSOFT CONTINUOUS MAPS, IRRESOLUTE MAPS AND ITS APPLICATION Palestine Journal of Mathematics, 2025
MORE ON HOMEOMORPHISMS IN FUZZY HYPERSOFT TOPOLOGICAL SPACES AND THEIR APPLICATION IN COVID-19 DIAGNOSIS USING COTANGENT SIMILARITY MEASURE S. Aranganayagi, K. Chitirakala, M. Saraswathi, A. Vadivel South East Asian Journal of Mathematics and Mathematical Sciences, 2024 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.
E -continuous maps and e -irresolute maps in neutrosophic soft topological spaces P. Revathi, K. Chitirakala, A. Vadivel Aip Conference Proceedings, 2024 In this paper, we introduce and investigate neutrosophic soft e-continuous maps and neutrosophic soft e-irresolute maps in neutrosophic soft topological spaces with examples.Further, we derive some useful results and properties related to them.
δ-separation Axioms on Fuzzy Hypersoft Topological Spaces P. Surendra, , , , A. Vadivel, K. Chitirakala International Journal of Neutrosophic Science, 2024 In this article, the concept of fuzzy hypersoft δ (resp. semi, pre, δ semi δ pre)-separation axioms in fuzzy hypersoft topological spaces are introduced by developing fuzzy hypersoft δ (resp. semi, pre, δ semi δ pre)-neighbourhood with respect to fuzzy hypersoft points. Also, the properties and relations between fuzzy hypersoft δ (resp. semi, pre, δ semi δ pre)- Ti- spaces (i = 0, 1, 2, 3, 4) are discussed.
More on Open Maps and Closed Maps in Fuzzy Hypersoft Topological Spaces and Application in Covid-19 Diagnosis using Cotangent Similarity Measure S. Aranganayagi, , , , , M. Saraswathi, K. Chitirakala, G. V. R. Reddy International Journal of Neutrosophic Science, 2023 maps, fuzzy hypersoft pre open maps, fuzzy hypersoft δ open maps, fuzzy hypersoft δ pre open maps, fuzzy hypersoft δ semi open maps, fuzzy hypersoft e open maps, fuzzy hypersoft δα open maps, fuzzy hypersoft e∗ open maps and their respective closed maps in fuzzy hypersoft topological spaces. Also, we have discussed the properties of various forms of fuzzy hypersoft open and closed maps. Moreover, a new cotangent similarity measure for fuzzy hypersoft sets is introduced and an application in Covid-19 diagnosis is explained with an example.
δ-open sets in Neutrosophic Hypersoft Topological Spaces P. Surendra, , , , K. Chitirakala, A. Vadivel International Journal of Neutrosophic Science, 2023 In this paper, neutrosphic hypersoft δ-open sets are introduced by defining the neutrosophic hypersoft regular open sets, pre-open sets, δ-interior and δ-closure. Under the guidance of these definitions, neutrosophic hyper- soft δ semi-open sets and δ pre-open sets are also introduced. Further, we have deduced inuitionistic hypersoft topology and fuzzy hypersoft topology from the neutrosophic hypersoft topology. Moreover, we discuss about the relations between neutrosphic hypersoft δ-open sets, δ semi-open sets, δ pre-open sets, semi-open sets and pre-open sets and their properties with examples.
Soft e-separation axioms in neutrosophic soft topological spaces P. Revathi, K. Chitirakala, A. Vadivel Journal of Physics Conference Series, 2021 In this paper, the idea of neutrosophic soft e-neighbourhood and neutrosophic soft e-separation axioms in neutrosophic soft topological spaces are introduces. Later, we discussed about the concept of neutrosophic soft e-separation axioms of neutrosophic soft topological spaces is diffused in different results with respect to neutrosophic soft points. Furthermore, we discuss the properties of neutrosophic soft e-Ti-spaces (i = 0,1, 2, 3,4) and the relations between them.
