On Pseudo Fuzzy Length Space and Quotient of Fuzzy Length Space

In this paper we recall the definition of fuzzy length space on a fuzzy set after that we recall basic definitions and properties of this space. Then we introduce the notion pseudo fuzzy length space on a fuzzy set to prove that the fuzzy completion of pseudo fuzzy length is a fuzzy length space. Finally we defined the quotient of a fuzzy length space then we defined the fuzzy length to the quotient space

Properties of Fuzzy Closed Linear Operator

In this paper we recall the definition of fuzzy norm of a fuzzy bounded linear operator and the fuzzy convergence of sequence of fuzzy bounded linear operators in order to prove the uniform fuzzy bounded theorem and fuzzy open mapping theorem. The definition of fuzzy closed linear operators on fuzzy normed spaces is introduced in order to prove the fuzzy closed graph theorem