Fuzzy Systems

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Generalized ℑ-g Closed Sets with Respect to Fuzzy Ideal


Affiliations
1 Research Scholar in Sathyabama University, Sholinganallur, Chennai, India
2 R.V.Govt Arts College, Chengalpattu, India
     

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A fuzzy ideal on a set X is a non empty collection of subsets of X with heredity property which is also closed under finite unions.  The concept of generalized closed sets was introduced by Levine.  The concept of generalized A-g closed sets with respect to a fuzzy ideal is introduced and studied in this article, which extend the classical theory on generalized closed sets. The theorems regarding,Á-g closed, Á-g open and Á compact are discussed.


Keywords

C-Compact, Compatible Ideal ℑ , ℑC-Compact, V-g–Topology Generalized.
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  • Generalized ℑ-g Closed Sets with Respect to Fuzzy Ideal

Abstract Views: 258  |  PDF Views: 1

Authors

M. Mary Victoria Florence
Research Scholar in Sathyabama University, Sholinganallur, Chennai, India
R. Alagar
R.V.Govt Arts College, Chengalpattu, India

Abstract


A fuzzy ideal on a set X is a non empty collection of subsets of X with heredity property which is also closed under finite unions.  The concept of generalized closed sets was introduced by Levine.  The concept of generalized A-g closed sets with respect to a fuzzy ideal is introduced and studied in this article, which extend the classical theory on generalized closed sets. The theorems regarding,Á-g closed, Á-g open and Á compact are discussed.


Keywords


C-Compact, Compatible Ideal ℑ , ℑC-Compact, V-g–Topology Generalized.