Fuzzy sets, uncertainty, and information
Fuzzy sets, uncertainty, and information
Further contributions to the study of finite fuzzy relations equations
Fuzzy Sets and Systems
Adaptation in natural and artificial systems
Adaptation in natural and artificial systems
Modern heuristic techniques for combinatorial problems
Modern heuristic techniques for combinatorial problems
Some results on the resolution of fuzzy relation equations
Fuzzy Sets and Systems
Genetic algorithms + data structures = evolution programs (3rd ed.)
Genetic algorithms + data structures = evolution programs (3rd ed.)
Fuzzy set theory—and its applications (3rd ed.)
Fuzzy set theory—and its applications (3rd ed.)
Solving fuzzy relation equations with a linear objective function
Fuzzy Sets and Systems
Optimization of fuzzy relation equations with max-product composition
Fuzzy Sets and Systems
Solving nonlinear optimization problems with fuzzy relation equation constraints
Fuzzy Sets and Systems
Genetic Algorithms in Search, Optimization and Machine Learning
Genetic Algorithms in Search, Optimization and Machine Learning
Pattern Recognition with Fuzzy Objective Function Algorithms
Pattern Recognition with Fuzzy Objective Function Algorithms
Multiple Objective Optimization with Vector Evaluated Genetic Algorithms
Proceedings of the 1st International Conference on Genetic Algorithms
Compaction of Symbolic Layout Using Genetic Algorithms
Proceedings of the 1st International Conference on Genetic Algorithms
Proceedings of the 5th International Conference on Genetic Algorithms
Genetic Algorithms for Multiobjective Optimization: FormulationDiscussion and Generalization
Proceedings of the 5th International Conference on Genetic Algorithms
A Variant of Evolution Strategies for Vector Optimization
PPSN I Proceedings of the 1st Workshop on Parallel Problem Solving from Nature
An overview of evolutionary algorithms in multiobjective optimization
Evolutionary Computation
Solving interval-valued fuzzy relation equations
IEEE Transactions on Fuzzy Systems
An efficient solution procedure for fuzzy relation equations with max-product composition
IEEE Transactions on Fuzzy Systems
Fuzzy Optimization and Decision Making
Optimization of fuzzy relational equations with max-av composition
Information Sciences: an International Journal
On the minimal solutions of max--min fuzzy relational equations
Fuzzy Sets and Systems
Information Sciences: an International Journal
An algorithm for solving fuzzy relation equations with max-T composition operator
Information Sciences: an International Journal
On the resolution and optimization of a system of fuzzy relational equations with sup-T composition
Fuzzy Optimization and Decision Making
A note on systems with max--min and max-product constraints
Fuzzy Sets and Systems
Optimization of linear objective function under max-product fuzzy relational constraint
FS'08 Proceedings of the 9th WSEAS International Conference on Fuzzy Systems
On optimizing a linear objective function subjected to fuzzy relation inequalities
Fuzzy Optimization and Decision Making
Computers and Industrial Engineering
Journal of Computational and Applied Mathematics
Fuzzy inventory model with two warehouses under possibility constraints
Fuzzy Sets and Systems
Multi-objective optimization with a max-t-norm fuzzy relational equation constraint
Computers & Mathematics with Applications
Fuzzy Optimization and Decision Making
Solving the minimal solutions of max-product relation equation by graph method and branch method
AICI'11 Proceedings of the Third international conference on Artificial intelligence and computational intelligence - Volume Part I
Satisficing solutions of multi-objective fuzzy optimization problems using genetic algorithm
Applied Soft Computing
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Linear optimization with an arbitrary fuzzy relational inequality
Fuzzy Sets and Systems
Multi-objective reliability-redundancy allocation problem using particle swarm optimization
Computers and Industrial Engineering
Linear optimization with bipolar max-min constraints
Information Sciences: an International Journal
Resolution of fuzzy relational equations - Method, algorithm and software with applications
Information Sciences: an International Journal
An algorithm for solving optimization problems with fuzzy relational inequality constraints
Information Sciences: an International Journal
Hi-index | 0.00 |
This paper studies a new class of optimization problems which have multiple objective functions subject to a set of fuzzy relation equations. Since the feasible domain of such a problem is in general non-convex and the objective functions are not necessarily linear, traditional optimization methods may become ineffective and inefficient. Taking advantage of the special structure of the solution set, a reduction procedure is developed to simplify a given problem. Moreover, a genetic-based algorithm is proposed to find the "Pareto optimal solutions". The major components of the proposed algorithm together with some encouraging test results are reported.