Delta-Induced Fuzzytopology, FuzzyTopology generated by Delta-open Set: On Delta Induced Fuzzy Topology and Topology generated by Generalized delta open Sets in fuzzy setting

In recent years, there are lots of works on induced fuzzy topological space which was first introduced by M.D.Weiss. R.Lowen called these spaces as topologically generated space. H.Maki continued work on generalized closed sets and closure operators by introducing the notion of a generalized Lambda- sets in a topological space (X,T) and by defining an associated closure operator i.e. the Lambda - closure operator. Caldas and Dontchev built on Maki's work by introducing and studying Lambdas and Vs sets in topology. Later on lots of Researchers are working in this field. The aim of the proposed work is to study Delta induced fuzzy topology. Since now a days lots of works are going on Delta Open sets and then to introduce a generalized concept of Delta Open sets .The concept of Delta Lambda Set, Delta V Set and the generalized Forms are studied. Their connection and the algebraic structure formed by this sets is also studied in this paper. This may help lot to the group of Researchers working in fuzzy topology and various applied field of fuzzy sets related to data mining and decision making

Dr(Mrs) Sharmistha Bhattacharya(Halder), Ph.D, Reader and Head, Dept of Mathematics, Tripura University, India