Dr. Constantin Virgil Negoita

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Fuzzy Systems

Preface

Trying to apply mathematics to soft sciences, researchers are susceptible to trends of fashion. The system approach has shown their readiness to accept a new methodology. It seems to me that not only does an examination of this methodology cast light on the challenges currently facing the human systems, but it also a case study of a topic that has come of age.

There can be little argument that the expertise of System Theory is potentially relevant to soft sciences. But the way in which this potential can be fruitfully realized is less obvious. This book contends that the first step in the process of a applying System Theory to human systems must be the development of paradigm. The basic assumption is that synthesis means conflict resolution. Structural stability questions motivate the introduction of new mathematical tools, and fuzzy systems theory shows in a very precise way how modern algebra can be used in the understanding of decision processes.

The book consists of series of essays. It is consistently characterized by the experience of the author as head of research stuff at the Institute of Management in Bucharest, and owes much of its present form to the comments and contributions of the participants in seminars, in which the first concern was to formulate the questions before obtaining the answers.

This book owes its existence in large measure to the Editor, Dr. J. Rose, who convinced me that whatever work has been done by us in this field should be published in the form of an unified and readable presentation.

Contents

  • Series Preface v
  • Preface vii
    1. Introduction 1
    2. An Approach to Complexity 6
    3. Concepts, Decision and Vagueness 16
    4. Fuzzy Sets 31
    5. The Categorical Approach 50
    6. Synthesis Processes 71
    7. Fuzziness in Management 81
    8. References 102
    9. Index 109

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