This chapter provides an overview of Analytic Hierarchy Process (AHP), which is a systematic procedure for representing the elements of any problem hierarchically. It organizes the basic rationality by breaking down a problem into its smaller constituent parts and then guides decision makers through a series of pair-wise comparison judgments to express the relative strength or intensity of impact of the elements in the hierarchy. These judgments are then translated to numbers. The AHP includes procedures and principles used to synthesize the many judgments to derive priorities among criteria and subsequently for alternative solutions. It is useful to note that the numbers thus obtained are ratio scale estimates and correspond to so-called hard numbers. Problem solving is a process of setting priorities in steps. One step decides on the most important elements of a problem, another on how best to repair, replace, test, and evaluate the elements, and another on how to implement the solution and measure performance.

The Analytic Hierarchy Process

A Scaling Method for Priorities in Hierarchical Structures

Fuzzy Set Theory - And Its Applications, Third Edition is a textbook for courses in fuzzy set theory. It can also be used as an introduction to the subject. The character of a textbook is balanced with the dynamic nature of the research in the field by including many useful references to develop a deeper understanding among interested readers. The book updates the research agenda (which has witnessed profound and startling advances since its inception some 30 years ago) with chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research. All chapters have been updated. Exercises are included.

https://www.springer.com/productFlyer_978-0-7923-7435-0.pdf?SGWID=0-0-1297-33300503-0

Fuzzy Set Theory - and Its Applications

I have developed "tennis elbow" from lugging this book around the past four weeks, but it is worth the pain, the effort, and the aspirin. It is also worth the (relatively speaking) bargain price. Including appendixes, this book contains 894 pages of text. The entire panorama of the neural sciences is surveyed and examined, and it is comprehensive in its scope, from genomes to social behaviors. The editors explicitly state that the book is designed as "an introductory text for students of biology, behavior, and medicine," but it is hard to imagine any audience, interested in any fragment of neuroscience at any level of sophistication, that would not enjoy this book. The editors have done a masterful job of weaving together the biologic, the behavioral, and the clinical sciences into a single tapestry in which everyone from the molecular biologist to the practicing psychiatrist can find and appreciate his or

Principles of Neural Science

How to make a decision: The analytic hierarchy process

Financial and intangible factors in fleet lease or buy decision

Mathematical methods of operations research

In this paper we study the U.S.-OPEC oil conflict and compute the payoff matrix for each of the two players using the Analytic Hierarchy Process by first evaluating the strategies of each player according to their intrinsic merits and then according to their relative strengths when considered against each of the opponent's strategies. We compose the two results to derive the pay-off matrix. We then identify and study equilibrium payoffs and discuss their strategies.

The U.S.-OPEC energy conflict the payoff matrix by the Analytic Hierarchy Process

This paper describes an expert system to predict National Hockey League (NHL) game outcome. A new method based on both data and judgments is used to estimate the hockey game performance. There are many facts and judgments that could influence an outcome. We employed the support vector machine to determine the importance of these factors before we incorporate them into the prediction system. Our system combines data and judgments and used them to predict the win–lose outcome of all the 89 post-season games before they took place. The accuracy of our prediction with the combined factors was 77.5%. This is to date the best accuracy reported of hockey games prediction.

Expert System for Ice Hockey Game Prediction: Data Mining with Human Judgment

The Analytic Hierarchy Process (AHP) is a well-known multi-criteria decision making method that has been applied to solve problems in diverse areas. The present paper deals with applications of the AHP in the transportation sector. We describe three applications of the AHP namely, (1) A governmental agency with jurisdiction over a certain area must decide on whether to build or not to build a bridge or a tunnel across a river presently served by a privately owned ferry. The factors or control criteria which affect both the benefits and costs of crossing a river are given in two hierarchies that fall into three categories: economic, social, and environmental. The decision is made in terms of the ratios of the priorities of the alternatives from the benefits hierarchy to those from the costs hierarchy although the AHP also has a second way to synthesize benefits and costs involving strategic criteria not used in this example. (2) In planning alternative strategies for the future of the Sudan’s transport system, the method of anticipatory scenario construction was used. The construction of the composite scenario was based on the use of the method of priorities to compare the individual scenarios as to their feasibility and desirability to the various forces which will shape changes in Sudanese society. (3) Here we apply the dependence with a feedback system in making a decision to buy a car made by an American, a European, or a Japanese company on the basis of three criteria: cost, repair, and durability.

Thomas L. Saaty

Papers

Financial and intangible factors in fleet lease or buy decision

Mathematical methods of operations research

The U.S.-OPEC energy conflict the payoff matrix by the Analytic Hierarchy Process

Expert System for Ice Hockey Game Prediction: Data Mining with Human Judgment

The Analytic Hierarchy Process in the Transportation Sector