- Esfahan, Iran
Ali Daryab
Sistan and Baluchestan, Faculty of Mathematics, Graduate Student
- Fuzzy sets,Fuzzy Optimization, Applied Mathematics, Operations Research, Operations research and Optimization, Soft Computing, Optimization (Mathematical Programming), and 4 moreMathematical Modelling, Computer Programming, Nonlinear Optimization, numerical methods, mathematical modelling, and Operational Reaserch and optimizationedit
The Karush–Kuhn–Tucker (KKT) optimality conditions and saddle point optimality conditions in fuzzy programming problems have been studied in literature by various authors under different conditions. In this paper, by considering a... more
The Karush–Kuhn–Tucker (KKT) optimality conditions
and saddle point optimality conditions in
fuzzy programming problems have been studied in
literature by various authors under different conditions.
In this paper, by considering a partial order
relation on the set of fuzzy numbers, and convexity
with differentiability of fuzzy mappings, we have obtained
the Fritz John (FJ) constraint qualification
and KKT necessary conditions for a fuzzy optimization
problem with fuzzy coefficients, for first time.
Owing to the help of the KKT optimality conditions,
we then discuss, the saddle point optimality conditions,
associated with a fuzzy optimization problem
under convexity and differentiability of fuzzy mappings.
and saddle point optimality conditions in
fuzzy programming problems have been studied in
literature by various authors under different conditions.
In this paper, by considering a partial order
relation on the set of fuzzy numbers, and convexity
with differentiability of fuzzy mappings, we have obtained
the Fritz John (FJ) constraint qualification
and KKT necessary conditions for a fuzzy optimization
problem with fuzzy coefficients, for first time.
Owing to the help of the KKT optimality conditions,
we then discuss, the saddle point optimality conditions,
associated with a fuzzy optimization problem
under convexity and differentiability of fuzzy mappings.
Research Interests:
In this paper, the optimization problems with fuzzy coefficients in unconstrained and constrained cases are discussed. We have proposed a method for these problems using concept of alpha -cuts for fuzzy numbers, and by considering a... more
In this paper, the optimization problems with fuzzy coefficients in unconstrained and constrained cases are
discussed. We have proposed a method for these problems using concept of alpha -cuts for fuzzy numbers, and by
considering a partial ordering on the set of all fuzz y numbers. Base on our proposed method, solving an optimization
problem with fuzzy coefficients converts to solve a crisp multi -objective optimization problem.
discussed. We have proposed a method for these problems using concept of alpha -cuts for fuzzy numbers, and by
considering a partial ordering on the set of all fuzz y numbers. Base on our proposed method, solving an optimization
problem with fuzzy coefficients converts to solve a crisp multi -objective optimization problem.