An introduction to fuzzy soft topological spaces

Yıl 2014, Cilt: 43 Sayı: 2, 197 - 208, 01.04.2014

Abdulkadir Aygünoğlu Vildan Çetkin Halis Aygun

Öz

The aim of this study is to define fuzzy soft topology which will be
compatible to the fuzzy soft theory and investigate some of its fundamental properties. Firstly, we recall some basic properties of fuzzy soft
sets and then we give the definitions of cartesian product of two fuzzy
soft sets and projection mappings. Secondly, we introduce fuzzy soft
topology and fuzzy soft continuous mapping. Moreover, we induce a
fuzzy soft topology after given the definition of a fuzzy soft base. Also,
we obtain an initial fuzzy soft topology and give the definition of product fuzzy soft topology. Finally, we prove that the category of fuzzy
soft topological spaces FSTOP is a topological category over SET.

Anahtar Kelimeler

fuzzy soft set, fuzzy soft topology, fuzzy soft base, initial fuzzy soft topology, product fuzzy soft topology

Kaynakça

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