2005•Journal of Mathematical Research and ExpositionRequires access

Induced I-Fuzzy Topological Spaces

Fang Jin-ming

Abstract

In this paper, we introduce the concept of generated I-fuzzy topological space and study the connection between (X, τ) and its corresponding generated space (IX,ω(τ)). We give the properties of operators ω and ι and introduce the concepts of induced I-Fuzzy topological space, I-Fuzzy background topological space and stratified I-Fuzzy topological space.

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Key concepts: Mathematics, Topological space, Zero-dimensional space, Fuzzy logic, Space (punctuation), Topology (electrical circuits), Topological vector space, Connected space