ピタゴラス模糊分数密空間におけるピタゴラス模糊フレームに関する調査
N B Gnanachristy1, G K Revathi2
1Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology Chennai, Vandalur-Kelambakkam Road, Chennai, 600127, Tamilnadu, India.
Scientific reports
|January 6, 2026
まとめ
この研究は、位相概念を拡張したピタゴラス模糊フレームを導入する。研究者たちは、ピタゴラス模糊構造空間内での挙動を探求し、主要な特性と連続関数を定義した。
科学分野:
- トポロジー
- ファジィ集合論
背景:
- フレームは位相空間を一般化します。
- ピタゴラス模糊集合はフレームとして定義されます。
研究 の 目的:
- ピタゴラス模糊フレームの挙動を調査します。
- ピタゴラス模糊構造空間を定義し、探求します。
- これらの空間内の特性を調べます。
主な方法:
- ピタゴラス模糊フレームの定義。
- ピタゴラス模糊構造空間の確立。
- ピタゴラス模糊閉集合、密集合、連続関数などの概念の導入。
主要な成果:
- ピタゴラス模糊構造空間は、ピタゴラス模糊フレームを使用して定義されます。
- 様々なファジィ集合の特性(閉集合、密集合、 nowhere dense、somewhere dense)が確立されます。
- ピタゴラス模糊連続性と分離公理が探求されます。
結論:
- この研究は、ピタゴラス模糊フレームの研究のためのフレームワークを提供します。
- 定義された概念は、これらのファジィ構造の挙動の理解に役立ちます。
- ピタゴラス模糊分数密集合と空間のさらなる探求が行われます。
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