Please use this identifier to cite or link to this item: http://umt-ir.umt.edu.my:8080/handle/123456789/3218
Title: New notions of generalized closed sets in fuzzy topological spaces
Authors: Nurul Adilla Farhana Abdul Wahab
Keywords: QA 611.2 .N8 2013
Nurul Adilla Farhana Abdul Wahab
Tesis PPIMG 2013
Topology
Fuzzy topology
Fuzzy mathematics
Issue Date: Sep-2013
Publisher: Terengganu: Universiti Malaysia Terengganu
Abstract: By considering A as a set in a space of points X which is characterized by a membership function,μ A (x), fuzzy sets and their properties are studied. Based on the concept of fuzzy set, Chang (1968) developed fuzzy topological spaces. In this thesis, two new notions of fuzzy generalized closed sets namely fuzzy θ-semigeneralized closed set and fuzzy θ-generalized semi-closed set are introduced. Moreover, some properties and characterizations of these two notions are obtained and the relationships among other notions from previous research are investigated. Counterexamples are shown if the implications of the relation are not true. Based on these two notions, new types of fuzzy separation axioms called fuzzy θ-generalized semi-T1/2, fuzzy semi-θ-T0, fuzzy semi-θ-T1 and fuzzy semi-θ-T2 spaces are obtained. Various mappings are developed from these new notions such as fuzzy θ-semi-generalized continuity, fuzzy θ-generalized semi-continuity, fuzzy θ-semi*generalized continuity, fuzzy θ-semi-generalized irresolute mapping, fuzzy θ-generalized semi-irresolute mapping, fuzzy θ-semi-generalized closed mapping and fuzzy θ-generalized semi-closed mapping.
URI: http://hdl.handle.net/123456789/3218
Appears in Collections:Pusat Pengajian Informatik dan Matematik Gunaan

Files in This Item:
File Description SizeFormat 
QA 611.2 .N8 2013 Abstract.pdf190.32 kBAdobe PDFView/Open
QA 611.2 .N8 2013 FullText.pdf
  Restricted Access
816.39 kBAdobe PDFView/Open Request a copy


Items in UMT-IR are protected by copyright, with all rights reserved, unless otherwise indicated.