Fuzzy sets, uncertainty, and information
Fuzzy sets, uncertainty, and information
Fuzzy Sets and Systems
Solving fuzzy relation equations with a linear objective function
Fuzzy Sets and Systems
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Solving interval-valued fuzzy relation equations
IEEE Transactions on Fuzzy Systems
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In this paper, an optimization model with a linear objective function subject to a system of interval-valued fuzzy relational equations is presented. We convert the problem to an equivalent problem involving 0-1 integer programming and present a procedure to find an optimal solution. For solving it more effectively, we propose a method to simplify the work of computing. Two numerical examples are provided to illustrate the performance of our procedure.