Generalized differentiability of fuzzy-valued functions
Barnabás Bede,Luciano Stefanini +1 more
Reads0
Chats0
TLDR
Using novel generalizations of the Hukuhara difference for fuzzy sets, new generalized differentiability concepts for fuzzy valued functions are introduced and studied.About:
This article is published in Fuzzy Sets and Systems.The article was published on 2013-11-01 and is currently open access. It has received 497 citations till now. The article focuses on the topics: Fuzzy number & Fuzzy set.read more
Citations
More filters
Journal ArticleDOI
Fuzzy optimization in gH- symmetrically differentiable fuzzy function of several variables
TL;DR: This paper defines a new concept called Levelwise generalized hukuhara symmetric (LgHs) derivative of functions which are of fuzzy valued and with several variables and introduces a concept of midpoint and radius function which allows for a connection between generalized gHs differentiability and classic definitions for the cases of differentiability in functions which is real valued.
Posted Content
On Ekeland's variational principle for interval-valued functions with applications
TL;DR: In this article, the Dancs-Hegedus-Medvegyev theorem was derived for interval-valued functions and two versions of Ekeland's variational principle involving generalized Hukuhara Gateaux differentiability were derived.
Journal ArticleDOI
Directional derivatives and subdifferential of convex fuzzy mapping on n-dimensional time scales and applications to fuzzy programming
TL;DR: In this paper , the notions of directional derivative, differential and subdifferential of fuzzy mapping f : Λ n → F 1 , where ǫ n denotes a n-dimensional time scale and F 1 is the fuzzy number space are discussed.
Journal ArticleDOI
Stability result for fractional fuzzy neutral integro-differential equations
Journal ArticleDOI
A fuzzy mathematical model for tumor growth pattern using generalized Hukuhara derivative and its numerical analysis
TL;DR: In this article , a fuzzy environment has been designed to address a more accurate mathematical tumor growth model and the complete pattern of tumor growth mechanism is captured with the fuzzy mathematical model using fuzzy differential equation.
References
More filters
Journal ArticleDOI
Fuzzy differential equations
TL;DR: F fuzzy-set-valued mappings of a real variable whose values are normal, convex, upper semicontinuous and compactly supported fuzzy sets in Rn are studied and the existence and uniqueness theorem for a solution to a fuzzy differential equation is given.
Journal ArticleDOI
Elementary fuzzy calculus
Roy H. Goetschel,William Voxman +1 more
TL;DR: This paper shall view fuzzy numbers in a topological vector space setting using the customary vector space operations together with the metric given in [4] to define differentiation and integration of fuzzy-valued functions in ways that parallel closely the corresponding definitions for real differentiation and Integration.
Journal ArticleDOI
Differentials of fuzzy functions
Madan L. Puri,Dan A. Ralescu +1 more
TL;DR: The Radstrom embedding theorem is generalized and is used to define the concept of the differential of a fuzzy function.
Journal ArticleDOI
Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
Barnabás Bede,Sorin G. Gal +1 more
TL;DR: generalized concepts of differentiability (of any order n@?N), which solves this shortcoming of fuzzy number differentiability, are introduced and some concrete applications to partial and ordinary fuzzy differential equations with fuzzy input data of the form c@?g(x).
Journal ArticleDOI
On the fuzzy initial value problem
TL;DR: Generalizations to fuzzy integral equations and fuzzy functional differential equations are indicated and the extension principle and the use of extremal solutions of deterministic initial value problems are applied.
Related Papers (5)
Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
Barnabás Bede,Sorin G. Gal +1 more