The Algorithms Of The Minimal Solutions Of Fuzzy Relational Equations On BL-algebra

.bstract:In this paper, the problem of solving a system of fuzzy relational quations with sup-*composition defined on BL-algebra is investigated. In articular, I study relation between the minimal solutions of the equation⊙X=B (where "⊙" denotes sup-*composition, A=(aij)i∈I,j∈J, I, J ce finite sets) and Binding-components. Then, The relation between the (?)imal solutions of the equation A⊙X=B and the covering is discussed. An gorithm for solving minimal solutions of the fuzzy equations is proposed. In he last, I talk about the relation between the minimal solutions of the equation⊙X=B and the FRI paths and give another algorithm for solving minimal (?)lutions of the fuzzy equations.