Alternative views on fuzzy numbers and their application to fuzzy differential equations

被引：0
作者：
Borzabadi, Akbar H. [1 ]
Heidari, Mohammad [2 ]
Torres, Delfim F. M. [3 ]
机构：
[1] Univ Sci & Technol Mazandaran, Dept Math, Behshahr, Iran
[2] Islamic Azad Univ, Ayatollah Amoli Branch, Young Researchers & Elite Club, Amol, Iran
[3] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, Portugal
来源：
JOURNAL OF MATHEMATICAL MODELING | 2024年 / 12卷 / 04期
关键词：
Parametric representation of fuzzy numbers; fuzzy valued functions; fuzzy differential equations; INTERVAL-VALUED FUNCTIONS; PARAMETRIC REPRESENTATION;
D O I：
10.22124/JMM.2024.26277.2325
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider fuzzy valued functions from two parametric representations of alpha-level sets. New concepts are introduced and compared with available notions. Following the two proposed approaches, we study fuzzy differential equations. Their relation with Zadeh's extension principle and the generalized Hukuhara derivative is discussed. Moreover, we prove existence and uniqueness theorems for fuzzy differential equations. Illustrative examples are given.
引用
收藏
页码：623 / 654
页数：32
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