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
Resolution of composite fuzzy relation equations based on Archimedean triangular norms
Fuzzy Sets and Systems
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Multi-objective optimization problems with fuzzy relation equation constraints
Fuzzy Sets and Systems - Special issue: Optimization and decision support systems
Fuzzy relation equations for coding/decoding processes of images and videos
Information Sciences—Informatics and Computer Science: An International Journal
Fuzzy Optimization and Decision Making
Fuzzy Optimization and Decision Making
Łukasiewicz transform and its application to compression and reconstruction of digital images
Information Sciences: an International Journal
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
On optimizing a linear objective function subjected to fuzzy relation inequalities
Fuzzy Optimization and Decision Making
A survey on fuzzy relational equations, part I: classification and solvability
Fuzzy Optimization and Decision Making
Comparison of fuzzy reasoning methods
Fuzzy Sets and Systems
Multi-objective optimization with a max-t-norm fuzzy relational equation constraint
Computers & Mathematics with Applications
On the unique solvability of fuzzy relational equations
Fuzzy Optimization and Decision Making
On various eigen fuzzy sets and their application to image reconstruction
Information Sciences: an International Journal
An efficient solution procedure for fuzzy relation equations with max-product composition
IEEE Transactions on Fuzzy Systems
An accelerated approach for solving fuzzy relation equations with a linear objective function
IEEE Transactions on Fuzzy Systems
Hi-index | 0.20 |
In this paper, optimization of a linear objective function with fuzzy relational inequality constraints is investigated whereby an arbitrary function is considered as fuzzy composition. The feasible solution set is determined and compared with some common results in the literature. A necessary and sufficient condition and three other necessary conditions are presented to conceptualize the feasibility of the problem. It is shown that in general a lower bound is always attainable for the optimal objective value. Moreover, we prove that the optimal solution of the problem is obtained if the problem is defined by a non-decreasing or non-increasing function. An algorithm is presented to summarize the process and an example is described to illustrate the algorithm.