This book is a presentation of my recent research work into the theory and applications of mathematical relations between finite sets. The consequent results and concepts are expressed in 'conjunction' with the idea of a union of simplicial complexes and the algorithms and overall methodology have become known as Q-Analysis. The mathematical ideas are essentially comhinatorial and are developed in Section-A of the book, whilst Section-R contains an application to a community study (that of the IJniversity of Rssex). All of the work has been published elsewhere, in the usual form of papers, and a comprehensive introduction to the whole approach will be found in my earlier book, Mathematical Structure in Human Affairs (Heinemann, London 1974). Much of the research work referred to in this present hook would not have been possible without the co-operation of my research team, of whom I would particularly like to thank J.II. Johnson, and its puhlication owes a lot to the secretarial help provided by ~Iary Low. R.H. Atkin IJniversity of Rssex U.K.

This volume is the product of the Conference on Cognitive Process Models of Foreign Policy Decision-Making which was held in London at the Richardson Institute for Conflict and Peace Research from March 17-24, 1973. We would like to thank Michael Nicholson, Director of the Richardson Institute, for acting as the host of the Conference. Support for the Conference and the preparation of the Conference papers for publication was provided by the Mathematical Social Sciences Board (MSSB). The MSSB is funded by aNational Science Foundation grant which is administered by the Center for Advanced Study in the Behavioral Sciences as the primary grantee. We are grateful to Hayward Alker, Jr. and William H. Riker of the MSSB for their help and encouragement. The graph shown on the cover is a cognitive map representation of the output from our computer simulation of foreign pOlicy decision-making. We would like to thank Robert Axelrod and Gary Raffel of the University of Michigan for generating the graph. PART I INTRODUCTION 1 CHAPTER 1 THOUGHT AND ACTION IN FOREIGN POLICY G. MATTHEW BONHAM The American University MICHAEL J. SHAPIRO University of Hawaii Introduction The papers assembled here constitute, and to some extent represent, widely disparate views of foreign policy thinking and decision-making. As is the case with almost any collective enterprise, it is possible to suggest some noteworthy resemblances among the contributions to this volume and to indicate grounds for distinguishing them from other "approaches.

Technological progress is a major factor chaping economic growth. Today's standard of living is a direct result of scientific advances and technical change in the past. Since uncontrolled technological progress has become amenace to our well being and may actually threat our survival, it is necessary to learn to manage technological progress and direct innovative activities in such a manner that both private wants and social needs playa dominant role in determining the rate and direction of technical change. This requires a better understanding of the processes of technical change, of their impact on and interrelationships with economic and social developments and of the means and measures by which both individuals and governments can influence and direct technological progress. To this end, the Ninistry for Research and Technology of the Federal Republ ic of Germany and the National Science Foundation of the Uni ted States of America invited a group of scholars, corporate managers and civil servants to a one week seminar on "Technolo gical Innovation". The seminar took place in April, 1976, in Bonn, Federal Republ ic of Germany. Most papers presented at this meeting were specifically prepared for the seminar. With this volume, they are made available to a larger audience to further stimulate discussion not only among scholars interested in innovation research and technology policy questions but also among managers, union officials, civil ser vants and others directly or indirectly concerned with and affected by technical change.

Picture processing by computer has found its application in various fields. Character recognition has shown the most practical success. Furthermore, the techniques span much more sophisticated applications such as interpretation of biomedical images and X-ray films, measurement of images in nuclear physics, processing of a large volume of pictorial data sent from the satellites, etc. The particular problem attacked in this thesis is computer analysis and identification of human faces. Pictures of human faces are successfully analyzed by a computer program which extracts face feature points, such as nose, mouth, eyes, and so on. The program was tested with more than 800 photographs The research has been done with main emphasis on the method of how to incorporate the picture structures into the picture anlysis program. The success of the program is due to the employment of a flexible picture analysis scheme with feedbacks, which will be described in the next chapter. An experiment on face identification of 20 people was also conducted. I-1. Picture Analysis and Recognition- New Aspects When shown the pictures of the human face of Fig. 1-1, we can immediately tell the positions of the nose, mouth and eyes; and more- over, we can say that both pictures surely portray the same person. Picture analysis and recognition by computer concerns itself with this type of two-dimensional image processing. In this thesis, I selected human-face pictures as objects of processing.

This monograph is intended for an advanced undergraduate or graduate course of engineering and management science. as well as for persons in business. industry. military or in any field. who want an introductory and a capsule look into the methods of group decision making under multiple criteria. This is a sequel to our previous works entitled "Multiple Objective Decision Making--Methods and Applications (No. 164 of the Lecture Notes). and "Multiple Attribute Decision Making--Methods and Applications (No. 186 of the Lecture Notes). Moving from a single decision maker (the consideration of Lecture Notes 164 and 186) to a multiple decision maker setting introduces a great deal of complexity into the analysis. The problem is no longer the selection of the most preferred alternative among the nondominated solutions according to one individual's (single decision maker's) preference structure. The analysis is extended to account for the conflicts among different interest groups who have different objectives. goals. and so forth. Group decision making under multiple criteria includes such diverse and interconnected fields as preference analysis. utility theory. social choice theory. committee decision theory. theory of voting. game theory. expert evaluation analysis. aggregation of qualitative factors. economic equilibrium theory. etc; these are simplified and systematically classified for beginners. This work is to provide readers with a capsule look into the existing methods. their characteristics. and applicability in the complexity of group decision making.