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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Our aim in this paper is to study the notion of group, fuzzy group, topological group, and fuzzy topological group on the (fuzzy) function space FC(Y,Z).
📌 3 Key Takeaways
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Objective & Hypothesis:Function spaces play an important role in complex analysis, in the theory of differential equations, in functional analysis and in almost every other branch of modern mathematics.
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Key Findings & Data:Let FC(Y,Z) be the set of all fuzzy continuous functions from a fuzzy topological space Y into a fuzzy topological space Z.
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Conclusion & Impact:Our aim in this paper is to study the notion of group, fuzzy group, topological group, and fuzzy topological group on the (fuzzy) function space FC(Y,Z).
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Group · Fuzzy group · Topological group
Abstract
Function spaces play an important role in complex analysis, in the theory of differential equations, in functional analysis and in almost every other branch of modern mathematics. Let FC(Y,Z) be the set of all fuzzy continuous functions from a fuzzy topological space Y into a fuzzy topological space Z. Our aim in this paper is to study the notion of group, fuzzy group, topological group, and fuzzy topological group on the (fuzzy) function space FC(Y,Z).
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Cite This Article
Ganster, M., Georgiou, D. N., Jafari, S. (2005). ON FUZZY TOPOLOGICAL GROUPS AND FUZZY CONTINUOUS FUNCTIONS. Hacettepe Journal of Mathematics and Statistics, Volume: 34 Special Issue. https://ajindex.com/articles/1403835