Open AccessFuzzy Fréchet Manifold
Author(s) -
Ahmad Ghanawi Jasim,
Z. D. Al-Nafie
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1818/1/012064
Subject(s) - fuzzy logic , mathematics , manifold (fluid mechanics) , fréchet derivative , pure mathematics , space (punctuation) , artificial intelligence , computer science , banach space , mechanical engineering , engineering , operating system
In this paper, we introduced the concepts of fuzzy Fréchet space, fuzzy Fréchet continuous mapping between fuzzy Fréchet spaces, and the differentiability of fuzzy Fréchet continuous mapping between fuzzy Fréchet spaces. Moreover, we constructed a fuzzy Fréchet manifold and proved some properties on it.