Analytic Hierarchy Process
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The Analytic Hierarchy Process
Planning, priority setting & resource allocation using the multicriteria decision making approach of the Analytic Hierarchy Process (AHP). Discover how to structure complex multi-person, multi-criteria, multi-time period problems with uncertainty & risk in hierarchic form, set priorities for the elements in each level according to their impact on the criteria or objectives of the next higher level, articulate your judgments through a series of pairwise comparisons, obtain a precise numerical measurement of the priority of each element, & synthesize all the judgments within the hierarchy to reach a best decision. THE ANALYTIC HIERARCHY PROCESS is a simple, yet powerful decision-making tool for planning, structuring priorities, weighing alternatives, allocating resources, analyzing policy impacts & resolving conflicts. This is the classical book on the AHP giving a complete grounding in the theory along with examples & applications. New theoretical results have been included in this revised & extended edition.
Introduction to the Analytic Hierarchy Process
The Analytic Hierarchy Process (AHP) has been one of the foremost mathematical methods for decision making with multiple criteria and has been widely studied in the operations research literature as well as applied to solve countless real-world problems. This book is meant to introduce and strengthen the readers’ knowledge of the AHP, no matter how familiar they may be with the topic. This book provides a concise, yet self-contained, introduction to the AHP that uses a novel and more pedagogical approach. It begins with an introduction to the principles of the AHP, covering the critical points of the method, as well as some of its applications. Next, the book explores further aspects of the method, including the derivation of the priority vector, the estimation of inconsistency, and the use of AHP for group decisions. Each of these is introduced by relaxing initial assumptions. Furthermore, this booklet covers extensions of AHP, which are typically neglected in elementary expositions of the methods. Such extensions concern different numerical representations of preferences and the interval and fuzzy representations of preferences to account for uncertainty. During the whole exposition, an eye is kept on the most recent developments of the method.
Models, Methods, Concepts & Applications of the Analytic Hierarchy Process
Models, Methods, Concepts and Applications of the Analytic Hierarchy Process is a volume dedicated to selected applications of the Analytic Hierarchy Process (AHP) focused on three themes: economics, the social sciences, and the linking of measurement with human values. (1) The AHP offers economists a substantially different approach to dealing with economic problems through ratio scales. The main mathematical models on which economics has based its quantitative thinking up to now are utility theory, which uses interval scales, and linear programming. We hope that the variety of examples included here can perhaps stimulate researchers in economics to try applying this new approach. (2) The second theme is concerned with the social sciences. The AHP offers psychologists and political scientists the methodology to quantify and derive measurements for intangibles. We hope that the examples included in this book will encourage them to examine the methods of AHP in terms of the problems they seek to solve. (3) The third theme is concerned with providing people in the physical and engineering sciences with a quantitative method to link hard measurement to human values. In such a process one needs to interpret what the measurements mean. A number is useless until someone understands what it means. It can have different meanings in different problems. Ten dollars are plenty to satisfy one's hunger but are useless by themselves in buying a new car. Such measurements are only indicators of the state of a system, but do not relate to the values of the human observers of that system. AHP methods can help resolve the conflicts between hard measurement data and human values.