On Pseudo Fuzzy Length Space and Quotient of Fuzzy Length Space

Jehad R. Kider; Jaafar Imran Mousa

Jehad R. Kider Applied Mathematics, Department of Applied Science, University of Technology, Baghdad, Iraq
Jaafar Imran Mousa Department of Mathematics and Computer Applications, School of Applied Sciences, University of Technology, Iraq

Keywords: Fuzzy length space on fuzzy set, Pseudo fuzzy length space on a fuzzy set, Fuzzy continuous operator.

Abstract

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.

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On Pseudo Fuzzy Length Space and Quotient of Fuzzy Length Space

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