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Two algorithms for solving linear optimization problems subject to a system of fuzzy relational inequalities (FRI) with the max-Einstein composition was proposed by Abbasi Molai [1]. However, it is too expensive to obtain the optimal solution by verifying a lot of quasi-minimal solutions. In this paper, some rules are proposed for reducing the size of problem and obtaining the optimal solution without...
Fuzzy relational equations have played an important role in fuzzy modeling and applied to many practical problems. Most theories of fuzzy relational equations based on a premise that the solution set is not empty. However, this is often not the case in practical applications. A broader theory of fuzzy relational equations that would allow us to determine an adequate approximate solution when no real...
Fuzzy relational equations have played an important role in fuzzy modeling and applied to many practical problems. Most theories of fuzzy relational equations based on a premise that the solution set is not empty. However, this is often not the case in practical applications. Recently, Chakraborty et al. presented an efficient algorithm to solve the best approximate solution for the fuzzy relational...
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