Recent advances in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: foundations * On max- * fuzzy systems

[1-4], 127-142 pages ; 21 cm

Bibliography p. 142

[1-4], 127-142 stron ; 21 cm

Bibliografia s. 142

In this article we investigate problem of solving fuzzy linear equations for max−∗ product. The problem of solving fuzzy relational equations and inequalities with max−min product was introduced by Sanchez in 1976 and by Pappis and Sugeno in 1985. Our considerations concern solving fuzzy linear equations with max−∗ product, where ∗ is a binary operation with additional properties. We illustrate this problem for different classes of binary operation ∗. We investigate correlation between properties of the binary operation and the form and properties of solution such equations. Moreover, we illustrate the problem of solving of fuzzy linear systems based on solving fuzzy linear equations with max−min product.