A note on the generalized difference and the generalized differentiability
From MaRDI portal
Publication:1676880
DOI10.1016/j.fss.2015.02.015zbMath1373.26033OpenAlexW1982606567MaRDI QIDQ1676880
Luciana T. Gomes, Laécio Carvalho de Barros
Publication date: 10 November 2017
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.fss.2015.02.015
Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Fuzzy real analysis (26E50)
Related Items
EXISTENCE CRITERIA FOR THE UNIQUE SOLUTION OF FIRST ORDER LINEAR FUZZY DIFFERENTIAL EQUATIONS ON THE SPACE OF LINEARLY CORRELATED FUZZY NUMBERS ⋮ Generalized fuzzy differentiability with LU-parametric representation ⋮ A Mellin transform method for solving fuzzy differential equations ⋮ On the stability for implicit uncertain fractional integral equations with fuzzy concept ⋮ The generalized fuzzy derivative is interactive ⋮ Characterizations of generalized differentiable fuzzy functions ⋮ Calculus for linearly correlated fuzzy number-valued functions ⋮ First-order linear fuzzy differential equations on the space of linearly correlated fuzzy numbers ⋮ Calculus of linear fuzzy-number-valued functions using the generalized derivative and the Riemann integral of fuzzy \(n\)-cell-number-valued functions ⋮ Optimality conditions for fuzzy optimization in several variables under generalized differentiability ⋮ Sensitivity of option prices via fuzzy Malliavin calculus ⋮ Comparison between the linearly correlated difference and the generalized Hukuhara difference of fuzzy numbers ⋮ New metric-based derivatives for fuzzy functions and some of their properties ⋮ Optimality conditions for interval valued optimization problems ⋮ Addition and subtraction of interactive fuzzy numbers via family of joint possibility distributions ⋮ A class of nonconvex fuzzy optimization problems under granular differentiability concept ⋮ Hukuhara difference of Z-numbers ⋮ Unnamed Item ⋮ Newton method to obtain efficient solutions of the optimization problems with interval-valued objective functions ⋮ A Newton method for capturing efficient solutions of interval optimization problems ⋮ Periodic problem of first order nonlinear uncertain dynamic systems ⋮ Variational-like inequalities for \(n\)-dimensional fuzzy-vector-valued functions and fuzzy optimization ⋮ Generalized differentiability for \(n\)-dimensional fuzzy-number-valued functions and fuzzy optimization ⋮ A quasi-Newton method with rank-two update to solve interval optimization problems ⋮ A survey on the initial value problems of fuzzy implicit fractional differential equations ⋮ Non-instantaneous impulses interval-valued fractional differential equations with Caputo-Katugampola fractional derivative concept ⋮ Existence results for extremal solutions of interval fractional functional integro-differential equations ⋮ A note on initial value problems for fractional fuzzy differential equations ⋮ Compatibility between fuzzy set operations and level set operations: applications to fuzzy difference ⋮ Generalized derivatives and optimization problems for \(n\)-dimensional fuzzy-number-valued functions ⋮ Fuzzification of real-valued functions based on the form of decomposition theorem: applications to the differentiation and integrals of fuzzy-number-valued functions ⋮ Toward the existence and uniqueness of solutions for fractional integro-differential equations under uncertainty ⋮ Uncertain fractional differential equations on a time scale under granular differentiability concept ⋮ On the initial value problem for fuzzy differential equations of non-integer order \(\alpha \in (1,2)\)
Cites Work
- Unnamed Item
- Differentials of fuzzy functions
- Soft methods for handling variability and imprecision. Selected papers based on the presentations at the 4th international conference on soft methods in probability and statistics (SMPS'2008), Toulouse, France, September 8--10, 2008.
- A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
- Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
- Generalized differentiability of fuzzy-valued functions