Processing in relational structures: fuzzy relational equations
Fuzzy Sets and Systems - Special memorial volume on foundations of fuzzy reasoning
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
Multi-objective optimization problems with fuzzy relation equation constraints
Fuzzy Sets and Systems - Special issue: Optimization and decision support systems
Generalized variational inequalities with fuzzy relation
Journal of Computational and Applied Mathematics - Special issue: Papers presented at the 1st Sino--Japan optimization meeting, 26-28 October 2000, Hong Kong, China
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
Computers and Industrial Engineering
Journal of Computational and Applied Mathematics
Latticized linear optimization on the unit interval
IEEE Transactions on Fuzzy Systems
The quadratic programming problem with fuzzy relation inequality constraints
Computers and Industrial Engineering
Randomly generating test problems for fuzzy relational equations
Fuzzy Optimization and Decision Making
Mathematical and Computer Modelling: An International Journal
Linear optimization with an arbitrary fuzzy relational inequality
Fuzzy Sets and Systems
An algorithm for solving optimization problems with fuzzy relational inequality constraints
Information Sciences: an International Journal
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An optimization model with one linear objective function and fuzzy relation equation constraints was presented by Fang and Li (1999) as well as an efficient solution procedure was designed by them for solving such a problem. A more general case of the problem, an optimization model with one linear objective function and finitely many constraints of fuzzy relation inequalities, is investigated in this paper. A new approach for solving this problem is proposed based on a necessary condition of optimality given in the paper. Compared with the known methods, the proposed algorithm shrinks the searching region and hence obtains an optimal solution fast. For some special cases, the proposed algorithm reaches an optimal solution very fast since there is only one minimum solution in the shrunk searching region. At the end of the paper, two numerical examples are given to illustrate this difference between the proposed algorithm and the known ones.