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Title: A New Form of Generalized Closed Sets in Intuitionistic Fuzzy Topological Spaces
Researcher: Gomathi M
Guide(s): Jayanthi D
Keywords: Physical Sciences,Mathematics,Mathematics
University: Avinashilingam Deemed University For Women
Completed Date: 16.7.2018
Abstract: This thesis mainly deals with the study of a new class of sets in intuitionistic fuzzy topological newlinespaces called intuitionistic fuzzy and#946; generalized and#945; closed sets. Further the corresponding open sets, newlinetheoretical applications, continuous mappings, almost continuous mappings, contra continuous newlinemappings, completely continuous mappings, perfectly continuous mappings, quasi continuous newlinemappings, closed mappings, open mappings, almost closed mappings and connectedness are being newlineintroduced and their respective properties are discussed in intuitionistic fuzzy topological spaces. newlineIn Chapter I, the recent developments in intuitionistic fuzzy topology contributed by various newlineauthors is mentioned and definitions defined by them are presented. Also a short introduction of newlineintuitionistic fuzzy closed sets, intuitionistic fuzzy open sets, intuitionistic fuzzy continuous mappings, newlineintuitionistic fuzzy contra continuous mappings, intuitionistic fuzzy almost continuous mappings, newlineintuitionistic fuzzy almost contra continuous mappings, intuitionistic fuzzy completely continuous newlinemappings, intuitionistic fuzzy perfectly continuous mappings, intuitionistic fuzzy quasi continuous newlinemappings, intuitionistic fuzzy closed mappings, intuitionistic fuzzy open mappings and intuitionistic newlinefuzzy almost closed mappings are given. This forms the basement for the remaining chapters of this newlinethesis. newlineIn Chapter II, intuitionistic fuzzy and#946; generalized and#945; closed sets, intuitionistic fuzzy and#946; generalized newlineand#945; open sets are introduced. The relations between these newly introduced intuitionistic fuzzy sets and newlinefew of the already existing intuitionistic fuzzy sets are being discussed. Further some of the newlinecharacterizations of these newly introduced intuitionistic fuzzy sets are produced. Some of the newlinetheoretical applications of intuitionistic fuzzy and#946; generalized and#945; closed sets are analyzed. newlineIn Chapter III, intuitionistic fuzzy and#946; generalized and#945; continuous mappings, intuitionistic fuzzy newlinecontra and#946; generalized and#945; continuous mappings are introduced and the liaison of it with s
Pagination: 144 p.
Appears in Departments:Department of Mathematics

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01_title.pdfAttached File85.02 kBAdobe PDFView/Open
02_certificate.pdf368.22 kBAdobe PDFView/Open
03_acknowledgement.pdf90.18 kBAdobe PDFView/Open
04_contents.pdf91.06 kBAdobe PDFView/Open
05_introduction.pdf1.36 MBAdobe PDFView/Open
06_review of literature.pdf1.46 MBAdobe PDFView/Open
07_chapter 1.pdf1.47 MBAdobe PDFView/Open
08_chapter 2.pdf1.58 MBAdobe PDFView/Open
09_chapter 3.pdf1.95 MBAdobe PDFView/Open
10_chapter 4.pdf1.75 MBAdobe PDFView/Open
11_chapter 5.pdf1.91 MBAdobe PDFView/Open
12_summary and conclusion.pdf1.33 MBAdobe PDFView/Open
13_references.pdf1.47 MBAdobe PDFView/Open

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