A VIEW ON FUZZY PEANO SPACE AND ITS APPLICATION ON RAIL CONNECTIVITY NETWORK

A VIEW ON FUZZY PEANO SPACE AND ITS APPLICATION ON RAIL CONNECTIVITY NETWORK

K. Sugapriya, B. Amudhambigai

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Abstract

By using fuzzy path connectedness of a fuzzy topological space (X, T), a wide class of a space named as the fuzzy Peano space has been de ned in this paper. Some of the interesting properties of a Fuzzy Peano Space are discussed. As an appli- cation of the Fuzzy path connectedness, it is aimed to  nd the perfect shortest path to cover all the selected cities at the earliest time. In this connection the properties of Fuzzy path connectedness are used to determine the fuzzy Hamiltonian Cycle which is used in rail connectivity network to  nd the perfect shortest path.

Keywords

Fuzzy locally path connected spaces, universal fuzzy locally path connected spaces, fuzzy Peano spaces and rail connectivity network.