Dependence and independence: From linear hierarchies to nonlinear networks

Thomas Saaty
Joseph M. Katz Graduate School of Business
University of Pittsburgh
United States
Masahiro Takizawa
Yamaha Motor Company

Publication date: Jan, 1986

Journal: European journal of operational research
Vol.: 26- Issue: 2- Pages: 229-237

Abstract: Most decisions need to be free from assumptions of independence to be faithful to the complex problems in which they arise. This paper illustrates how to generate priorities for decisions involving general types of dependence of criteria on alternatives, criteria on criteria and alternatives on alternatives. It is based on the feedback system framework of the Analytic Hierarchy Process of which a hierarchy is a special case.

Keywords: Decisions, Analytic Hierarchy Process, AHP, Dependence, Priorities