A new derivative concept for set-valued and fuzzy-valued functions. Differential and integral calculus in quasilinear metric spaces
type: Item
instance of: scholarly article
title: A new derivative concept for set-valued and fuzzy-valued functions. Differential and integral calculus in quasilinear metric spaces
zbMATH Open document ID: 1464.26030
author: Vasile Lupulescu
author: Donal O'Regan
published in: Fuzzy Sets and Systems
publication date: 2021-06-24T00:00:00Z
Mathematics Subject Classification ID: 26E50
Mathematics Subject Classification ID: 26E25
zbMATH DE Number: 7363050
MaRDI profile type: Publication
full work available at URL: j.fss.2020.04.002
OpenAlex ID: W3018652002
cites work: Toward the existence and uniqueness of solutions of second-order fuzzy differential equations
cites work: A differential calculus for multifunctions
cites work: One Hundred Years Since the Introduction of the Set Distance by Dimitrie Pompeiu
cites work: Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
cites work: Mathematics of fuzzy sets and fuzzy logic
cites work: On the differentiability of multifunctions
cites work: Trajectory integrals of set valued functions
cites work: Generalized derivative and \(\pi \)-derivative for set-valued functions
cites work: Calculus for interval-valued functions using generalized Hukuhara derivative and applications
cites work: Q5403811
cites work: Q5613035
cites work: Q4870855
cites work: Fréchet derivative for linearly correlated fuzzy function
cites work: Calculus for linearly correlated fuzzy function using Fréchet derivative and Riemann integral
cites work: Normed vector spaces consisting of classes of convex sets
cites work: Differentiability on semilinear spaces
cites work: Elementary fuzzy calculus
cites work: On normed almost linear spaces
cites work: Q3784664
cites work: Riemann integration in Banach spaces
cites work: Fuzzy differential equations
cites work: A boundary value problem for second order fuzzy differential equations
cites work: Variation of constant formula for first order fuzzy differential equations
cites work: Q3263036
cites work: Q5543500
cites work: Q4650359
cites work: Q5484956
cites work: Q4462609
cites work: The Cauchy problem of fuzzy differential equations under generalized differentiability
cites work: Hukuhara differentiability of interval-valued functions and interval differential equations on time scales
cites work: Fractional calculus for interval-valued functions
cites work: On a class of fuzzy functional differential equations
cites work: Initial value problem for fuzzy differential equations under dissipative conditions
cites work: Q3504941
cites work: Interval differential equations with a second type Hukuhara derivative
cites work: Interval Cauchy problem with a second type Hukuhara derivative
cites work: On set differential equations in Banach spaces - a second type Hukuhara differentiability approach
cites work: Second type Hukuhara differentiable solutions to the delay set-valued differential equations
cites work: Calculus for interval functions of a real variable
cites work: Q4517081
cites work: On quasilinear spaces of convex bodies and intervals.
cites work: Algebraische und metrische Strukturen in der Intervallrechnung und einige Anwendungen
cites work: Q4160060
cites work: Q4091811
cites work: Numerical solution of fuzzy differential equations under generalized differentiability
cites work: LINEAR FIRST-ORDER FUZZY DIFFERENTIAL EQUATIONS
cites work: Q3527104
cites work: A note on the extension principle for fuzzy sets
cites work: Differentiation of multivalued mappings. \(T\)-derivative
cites work: Approximation of continuous convex-cone-valued functions by monotone operators
cites work: Differentials of fuzzy functions
cites work: Fuzzy random variables
cites work: An Embedding Theorem for Spaces of Convex Sets
cites work: Q4111705
cites work: Representation of Semigroups as Systems of Compact Convex Sets
cites work: Comparison results for fuzzy differential equations
cites work: On the existence of solutions to periodic boundary value problems for fuzzy linear differential equations
cites work: On the fuzzy initial value problem
cites work: Q5287551
cites work: Differentiation of interval functions
cites work: Generalized Hukuhara differentiability of interval-valued functions and interval differential equations
cites work: A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
cites work: Boundaries of Semilinear Spaces and Semialgebras
cites work: The concept of a linguistic variable and its application to approximate reasoning. I
cites work: Fuzzy sets
DOI: 10.1016/J.FSS.2020.04.002