Fuzzy Sets and Systems
The mean value of a fuzzy number
Fuzzy Sets and Systems - Fuzzy Numbers
Information Sciences—Intelligent Systems: An International Journal
A note on fuzzy Volterra integral equations
Fuzzy Sets and Systems
Numerical solutions of fuzzy differential and integral equations
Fuzzy Sets and Systems - Special issue on fuzzy modeling and dynamics
On operations and order relations between fuzzy values
Fuzzy Sets and Systems
The approximate solutions of fuzzy functional integral equations
Fuzzy Sets and Systems
On Henstock integrals of interval-valued functions and fuzzy-valued functions
Fuzzy Sets and Systems
On henstock integral of fuzzy-number-valued functions (I)
Fuzzy Sets and Systems
Algebraic structures for fuzzy numbers from categorial point of view
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Error estimation in the approximation of the solution of nonlinear fuzzy Fredholm integral equations
Information Sciences: an International Journal
Some properties of the space of fuzzy-valued continuous functions on a compact set
Fuzzy Sets and Systems
Solutions to fuzzy integral equations with arbitrary kernels
International Journal of Approximate Reasoning
Ranking fuzzy numbers based on the areas on the left and the right sides of fuzzy number
Computers & Mathematics with Applications
Theory and applications of fuzzy Volterra integral equations
IEEE Transactions on Fuzzy Systems
Gradual Numbers and Their Application to Fuzzy Interval Analysis
IEEE Transactions on Fuzzy Systems
Hi-index | 0.20 |
In this paper we present the algebraic and topological structure of one-sided fuzzy numbers and introduce the notion of side preserving fuzzy-number-valued function. We define the dual decomposition of a commutative monoid and prove that the sets of left-sided fuzzy numbers and right-sided fuzzy numbers realize a dual decomposition of the additive monoid of all fuzzy numbers. We prove the usefulness of right-sided fuzzy numbers in epidemiology presenting an application of these fuzzy numbers to a mathematical model for the spread of infectious diseases with a rate of contact that varies seasonally.