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General Type-2 Fuzzy Topological Spaces
Department of Mathematics, College of Education, AL-Mustinsiryah University, Baghdad, Iraq
Department of Mathematics, College of Education, AL-Mustinsiryah University, Baghdad, Iraq
- 1 Department of Mathematics, College of Education, AL-Mustinsiryah University, Baghdad, Iraq
- 2 Department of Mathematics, College of Education, AL-Mustinsiryah University, Baghdad, Iraq
Advances in Pure Mathematics·Volume 08 (2018)·Pages 771–781·Published 21 September 2018·DOI10.4236/apm.2018.89047
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Abstract
In this paper, a presented definition of type-2 fuzzy sets and type-2 fuzzy set operation on it was given. The aim of this work was to introduce the concept of general topological space s w ere extended in type-2 fuzzy sets with the structural properties such as open sets, closed sets, interior, closure and neighborhoods in topological spaces were extended to general type-2 fuzzy topological spaces and many related theorems are proved.
KeywordsType-2 Fuzzy SetInterval Type-2 Fuzzy Topological SpaceGeneral Type-2 Fuzzy Topological SpacesType-2 Fuzzy Open SetsType-2 Fuzzy Closed SetsType-2 Fuzzy InteriorType-2 Fuzzy ClosureNeighborhood of a Type-2 Fuzzy Set
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