Calculus for fuzzy functions with strongly linearly independent fuzzy coefficients

被引：7

作者：

Esmi, Estevao ^{[1
]}

Laiate, Beatriz ^{[1
]}

Pedro, Francielle Santo ^{[2
]}

Barros, Laecio C. ^{[1
]}

机构：

[1] Univ Estadual Campinas, Dept Matemat Aplicada, BR-13081970 Campinas, SP, Brazil

[2] Univ Fed Silo Paulo, Dept Multidisciplinar, BR-06110295 Osasco, SP, Brazil

来源：

FUZZY SETS AND SYSTEMS | 2022年 / 436卷

关键词：

Banach spaces; Strongly linear independence; Frechet derivative; Riemann integral; Fuzzy differential equations; VALUED FUNCTIONS; CONVEX-BODIES; SPACES; DIFFERENTIABILITY;

D O I：

10.1016/j.fss.2021.10.006

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper establishes a theory of calculus for fuzzy-number-valued functions whose range is embedded in a specific Banach space of fuzzy numbers. These spaces are generated by strongly linearly independent (SLI) fuzzy numbers whose operations are induced by an isomorphism with R-n. We use the notion of Frechet differentiability and Riemann integrability for these functions and present a fundamental theorem of calculus. Lastly, we develop a theory of fuzzy differential equations and provide an existence and uniqueness theorem.(c) 2021 Elsevier B.V. All rights reserved.

引用

页码：1 / 31

页数：31

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