This article introduces a procedure for solving an analytic hierarchy
process (AHP) problem under fuzzy environment. In this method the attr
ibutes are considered as inputs and the outputs to the AHP hierarchy l
evels. The concept of fuzzy relational equation has been used to model
the AHP problem and to articulate the inherent input-output relations
among the attributes. This model of AHP gives the solutions correspon
ding to the various combination operators of the fuzzy relations. This
leads to the ranking of the attributes (at each hierarchy level) in t
he AHP problem.