Results 231 to 240 of about 2,847,089 (287)

Fuzzy differential equations

Fuzzy Sets and Systems, 1987
A differential and integral calculus for fuzzy-set-valued mappings was developed in recent papers of Dubois and Prade, and Puri and Ralescu. The purpose of this paper is to study differential equations for fuzzy-set- valued mappings of a real variable whose values are normal, convex, upper semi-continuous and compactly supported fuzzy sets in \(R^ n\).
exaly   +3 more sources

The Behavior of Logistic Equation with Alley Effect in Fuzzy Environment: Fuzzy Differential Equation Approach [PDF]

open access: yesInternational Journal of Applied and Computational Mathematics, 2018
In this paper a fuzzy logistic equation with alley effect is introduced by considering some parameter as fuzzy numbers. Due to presence of the fuzzy number the corresponding differential equation in logistic equation model with alley effect becomes fuzzy
Animesh Mahata   +2 more
exaly   +2 more sources

Fuzzy differential equations

Fuzzy Sets and Systems, 2000
The authors consider the following fuzzy initial value problem \[ {du(t)\over dt}= f(t,u(t)),\quad t\in [0,\infty),\quad u(0)= u_0\in E^n,\tag{1} \] where \({du\over dt}\) denotes the Hukuhara derivative of function \(u,f:[0, \infty)\times E^n\to E^n\) is continuous, and the set \[ E^n:= \{u\in\mathbb{R}^n\to [0,1]\mid u\text{ satisfies (i)}\sim \text{(
Jong-Yeoul Park, Hyo Keun Han
openaire   +5 more sources

Fuzzy differential equations by fuzzy-transform

2015 Annual Conference of the North American Fuzzy Information Processing Society (NAFIPS) held jointly with 2015 5th World Conference on Soft Computing (WConSC), 2015
The fuzzy transform setting (F-transform), as a tool for general continuous approximation of functions, is proposed to approximate the solution of ordinary, interval or fuzzy (levelwise) differential equations; in particular, one of the basic properties of inverse F-transform allows a good approximation of the solution x(t), starting with the uniform ...
Davide Radi, Luciano Stefanini
openaire   +3 more sources

ON FUZZINESS AND DUALITY IN FUZZY DIFFERENTIAL EQUATIONS

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1996
In this work we define a conjugate fuzzy Cauchy problem and discuss the major differences between an ordinary and a conjugate fuzzy Cauchy problems. A necessary condition for the existence of a fuzzy solution to the conjugate fuzzy Cauchy problem is proposed.
Abraham Kandel   +2 more
openaire   +2 more sources

Fuzzy delay differential equations

Fuzzy Optimization and Decision Making, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vasile Lupulescu, Umber Abbas
openaire   +2 more sources

Solving Riccati Fuzzy Differential Equations

New Mathematics and Natural Computation, 2021
In this paper, a method for solving Riccati fuzzy differential equations is studied in great detail. To obtain the solution of Riccati fuzzy differential equations (RFDEs), we study the fuzzy differential equations (FDEs) using the concept of generalized [Formula: see text]-differentiability.
F. Karimi   +3 more
openaire   +2 more sources

A Fuzzy Fractional Power Series Approximation and Taylor Expansion for Solving Fuzzy Fractional Differential Equation

open access: yesDecision Analytics Journal
Fuzzy fractional differential has the strength to capture the senses of memory and uncertainty simultaneously involved in dynamical systems. However, a solution for fuzzy fractional differential equations is not always found regularly.
Payal Singh   +2 more
exaly   +2 more sources

Fuzzy differential equations without fuzzy convexity

Fuzzy Sets and Systems, 2013
Classical fuzzy differential equations defined in terms of the Hukuhara derivative depend critically on the convexity of the level sets and result in expanding level sets. Here Hullermeier's suggestion of defining fuzzy differential equations at each level set via differential inclusions is combined with ideas of Aubin on morphological equations, which
Peter E. Kloeden, Thomas Lorenz
openaire   +2 more sources

Home - About - Disclaimer - Privacy