Multiperson Decision Making Models Using Fuzzy Sets And Possibility Theory

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Multiperson Decision Making Models Using Fuzzy Sets and Possibility Theory

Author : J. Kacprzyk
Publisher : Springer Science & Business Media
ISBN 13 : 9400921098
Total Pages : 349 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Multiperson Decision Making Models Using Fuzzy Sets and Possibility Theory by : J. Kacprzyk

Download or read book Multiperson Decision Making Models Using Fuzzy Sets and Possibility Theory written by J. Kacprzyk and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Decision making is certainly a very crucial component of many human activities. It is, therefore, not surprising that models of decisions play a very important role not only in decision theory but also in areas such as operations Research, Management science, social Psychology etc . . The basic model of a decision in classical normative decision theory has very little in common with real decision making: It portrays a decision as a clear-cut act of choice, performed by one individual decision maker and in which states of nature, possible actions, results and preferences are well and crisply defined. The only compo nent in which uncertainty is permitted is the occurence of the different states of nature, for which probabilistic descriptions are allowed. These probabilities are generally assumed to be known numerically, i. e. as single probabili ties or as probability distribution functions. Extensions of this basic model can primarily be conceived in three directions: 1. Rather than a single decision maker there are several decision makers involved. This has lead to the areas of game theory, team theory and group decision theory. 2. The preference or utility function is not single valued but rather vector valued. This extension is considered in multiattribute utility theory and in multicritieria analysis. 3.

Fuzzy Sets, Decision Making, and Expert Systems

Author : Hans-Jürgen Zimmermann
Publisher : Springer Science & Business Media
ISBN 13 : 9400932499
Total Pages : 342 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Fuzzy Sets, Decision Making, and Expert Systems by : Hans-Jürgen Zimmermann

Download or read book Fuzzy Sets, Decision Making, and Expert Systems written by Hans-Jürgen Zimmermann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the two decades since its inception by L. Zadeh, the theory of fuzzy sets has matured into a wide-ranging collection of concepts, models, and tech niques for dealing with complex phenomena which do not lend themselves to analysis by classical methods based on probability theory and bivalent logic. Nevertheless, a question which is frequently raised by the skeptics is: Are there, in fact, any significant problem areas in which the use of the theory of fuzzy sets leads to results which could not be obtained by classical methods? The approximately 5000 publications in this area, which are scattered over many areas such as artificial intelligence, computer science, control engineering, decision making, logic, operations research, pattern recognition, robotics and others, provide an affirmative answer to this question. In spite of the large number of publications, good and comprehensive textbooks which could facilitate the access of newcomers to this area and support teaching were missing until recently. To help to close this gap and to provide a textbook for courses in fuzzy set theory which can also be used as an introduction to this field, the first volume ofthis book was published in 1985 [Zimmermann 1985 b]. This volume tried to cover fuzzy set theory and its applications as extensively as possible. Applications could, therefore, only be described to a limited extent and not very detailed.

Readings in Fuzzy Sets for Intelligent Systems

Author : Didier J. Dubois
Publisher : Morgan Kaufmann
ISBN 13 : 1483214508
Total Pages : 929 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Readings in Fuzzy Sets for Intelligent Systems by : Didier J. Dubois

Download or read book Readings in Fuzzy Sets for Intelligent Systems written by Didier J. Dubois and published by Morgan Kaufmann. This book was released on 2014-05-12 with total page 929 pages. Available in PDF, EPUB and Kindle. Book excerpt: Readings in Fuzzy Sets for Intelligent Systems is a collection of readings that explore the main facets of fuzzy sets and possibility theory and their use in intelligent systems. Basic notions in fuzzy set theory are discussed, along with fuzzy control and approximate reasoning. Uncertainty and informativeness, information processing, and membership, cognition, neural networks, and learning are also considered. Comprised of eight chapters, this book begins with a historical background on fuzzy sets and possibility theory, citing some forerunners who discussed ideas or formal definitions very close to the basic notions introduced by Lotfi Zadeh (1978). The reader is then introduced to fundamental concepts in fuzzy set theory, including symmetric summation and the setting of fuzzy logic; uncertainty and informativeness; and fuzzy control. Subsequent chapters deal with approximate reasoning; information processing; decision and management sciences; and membership, cognition, neural networks, and learning. Numerical methods for fuzzy clustering are described, and adaptive inference in fuzzy knowledge networks is analyzed. This monograph will be of interest to both students and practitioners in the fields of computer science, information science, applied mathematics, and artificial intelligence.

Fuzzy Sets in Decision Analysis, Operations Research and Statistics

Author : Roman Slowiński
Publisher : Springer Science & Business Media
ISBN 13 : 1461556457
Total Pages : 467 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Fuzzy Sets in Decision Analysis, Operations Research and Statistics by : Roman Slowiński

Download or read book Fuzzy Sets in Decision Analysis, Operations Research and Statistics written by Roman Slowiński and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy Sets in Decision Analysis, Operations Research and Statistics includes chapters on fuzzy preference modeling, multiple criteria analysis, ranking and sorting methods, group decision-making and fuzzy game theory. It also presents optimization techniques such as fuzzy linear and non-linear programming, applications to graph problems and fuzzy combinatorial methods such as fuzzy dynamic programming. In addition, the book also accounts for advances in fuzzy data analysis, fuzzy statistics, and applications to reliability analysis. These topics are covered within four parts: Decision Making, Mathematical Programming, Statistics and Data Analysis, and Reliability, Maintenance and Replacement. The scope and content of the book has resulted from multiple interactions between the editor of the volume, the series editors, the series advisory board, and experts in each chapter area. Each chapter was written by a well-known researcher on the topic and reviewed by other experts in the area. These expert reviewers sometimes became co-authors because of the extent of their contribution to the chapter. As a result, twenty-five authors from twelve countries and four continents were involved in the creation of the 13 chapters, which enhances the international character of the project and gives an idea of how carefully the Handbook has been developed.

Fuzzy Logic in Its 50th Year

Author : Cengiz Kahraman
Publisher : Springer
ISBN 13 : 3319310933
Total Pages : 406 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Fuzzy Logic in Its 50th Year by : Cengiz Kahraman

Download or read book Fuzzy Logic in Its 50th Year written by Cengiz Kahraman and published by Springer. This book was released on 2016-05-17 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a multifaceted perspective on fuzzy set theory, discussing its developments over the last 50 years. It reports on all types of fuzzy sets, from ordinary to hesitant fuzzy sets, with each one explained by its own developers, authoritative scientists well known for their previous works. Highlighting recent theorems and proofs, the book also explores how fuzzy set theory has come to be extensively used in almost all branches of science, including the health sciences, decision science, earth science and the social sciences alike. It presents a wealth of real-world sample applications, from routing problem to robotics, and from agriculture to engineering. By offering a comprehensive, timely and detailed portrait of the field, the book represents an excellent reference guide for researchers, lecturers and postgraduate students pursuing research on new fuzzy set extensions.

Fuzzy Multiple Objective Decision Making

Author : Young-Jou Lai
Publisher : Springer Science & Business Media
ISBN 13 : 3642579493
Total Pages : 493 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Fuzzy Multiple Objective Decision Making by : Young-Jou Lai

Download or read book Fuzzy Multiple Objective Decision Making written by Young-Jou Lai and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last 25 years, the fuzzy set theory has been applied in many disciplines such as operations research, management science, control theory, artificial intelligence/expert system, etc. In this volume, methods and applications of crisp, fuzzy and possibilistic multiple objective decision making are first systematically and thoroughly reviewed and classified. This state-of-the-art survey provides readers with a capsule look into the existing methods, and their characteristics and applicability to analysis of fuzzy and possibilistic programming problems. To realize practical fuzzy modelling, it presents solutions for real-world problems including production/manufacturing, location, logistics, environment management, banking/finance, personnel, marketing, accounting, agriculture economics and data analysis. This book is a guided tour through the literature in the rapidly growing fields of operations research and decision making and includes the most up-to-date bibliographical listing of literature on the topic.

Consensus Under Fuzziness

Author : J. Kacprzyk
Publisher : Springer Science & Business Media
ISBN 13 : 146156333X
Total Pages : 297 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Consensus Under Fuzziness by : J. Kacprzyk

Download or read book Consensus Under Fuzziness written by J. Kacprzyk and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: We live, unfortunately, in turbulent and difficult times plagued by various political, economic, and social problems, as well as by natural disasters worldwide. Systems become more and more complicated, and this concerns all levels, exemplified first by global political alliances, groups of countries, regions, etc., and secondly, by multinational (global) corporations and companies of all sizes. These same concerns affect all social groups. This all makes decision processes very complicated. In virtually all decision processes in these complicated systems, there are various actors (decision makers) who represent individual subjects (persons, countries, companies, etc.) and their respective interest groups. To reach a meaningful (good) decision, opinions of all such actors must be taken into account or a given decision may be rejected and not implemented. Ideally, a decision would be made after a consensus between the parties involved had been attained. So, consensus is a very desirable situation. In most real-world cases there is considerable uncertainty concerning all aspects of the decision making process. Moreover, opinions, goals, constraints, etc. are usually imprecisely known. This makes the decision making process difficult as one cannot employ conventional "hard" tools.

Fuzzy Multicriteria Decision-Making

Author : Witold Pedrycz
Publisher : John Wiley & Sons
ISBN 13 : 1119957389
Total Pages : 328 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Fuzzy Multicriteria Decision-Making by : Witold Pedrycz

Download or read book Fuzzy Multicriteria Decision-Making written by Witold Pedrycz and published by John Wiley & Sons. This book was released on 2011-06-15 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy Multicriteria Decision-Making: Models, Algorithms and Applications addresses theoretical and practical gaps in considering uncertainty and multicriteria factors encountered in the design, planning, and control of complex systems. Including all prerequisite knowledge and augmenting some parts with a step-by-step explanation of more advanced concepts, the authors provide a systematic and comprehensive presentation of the concepts, design methodology, and detailed algorithms. These are supported by many numeric illustrations and a number of application scenarios to motivate the reader and make some abstract concepts more tangible. Fuzzy Multicriteria Decision-Making: Models, Algorithms and Applications will appeal to a wide audience of researchers and practitioners in disciplines where decision-making is paramount, including various branches of engineering, operations research, economics and management; it will also be of interest to graduate students and senior undergraduate students in courses such as decision making, management, risk management, operations research, numerical methods, and knowledge-based systems.

Computing with Words in Information/Intelligent Systems 2

Author : Lotfi Zadeh
Publisher : Physica
ISBN 13 : 3790818720
Total Pages : 610 pages
Book Rating : 4.7/5 (98 download)

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Book Synopsis Computing with Words in Information/Intelligent Systems 2 by : Lotfi Zadeh

Download or read book Computing with Words in Information/Intelligent Systems 2 written by Lotfi Zadeh and published by Physica. This book was released on 2013-06-29 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two volumes consisting of Foundations and Applications provide the current status of theoretical and empirical developments in "computing with words". In philosophy, the twentieth century is said to be the century of language. This is mainly due to Wittgenstein who said: "The meaning of a word is its use in the language game". "The concept game is a concept with blurred edges". In the first phrase, "the language game" implies the everyday human activity with language, and in the latter, "game" simply implies an ordinary word. Thus, Wittgenstein precisely stated that a word is fuzzy in real life. Unfortunately this idea about a word was not accepted in the conventional science. We had to wait for Zadeh's fuzzy sets theory. Remembering Wittgenstein's statement, we should consider, on the one hand, the concept of "computing with words" from a philosophical point of view. It deeply relates to the everyday use of a word in which the meaning of a word is fuzzy in its nature.

Recent Developments in the Ordered Weighted Averaging Operators: Theory and Practice

Author : Ronald R. Yager
Publisher : Springer Science & Business Media
ISBN 13 : 3642179096
Total Pages : 300 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Recent Developments in the Ordered Weighted Averaging Operators: Theory and Practice by : Ronald R. Yager

Download or read book Recent Developments in the Ordered Weighted Averaging Operators: Theory and Practice written by Ronald R. Yager and published by Springer Science & Business Media. This book was released on 2011-02-03 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the state of the art of new developments, and some interesting and relevant applications of the OWA (ordered weighted averaging) operators. The OWA operators were introduced in the early 1980s by Ronald R. Yager as a conceptually and numerically simple, easily implementable, yet extremely powerful general aggregation operator. That simplicity, generality and implementability of the OWA operators, combined with their intuitive appeal, have triggered much research both in the foundations and extensions of the OWA operators, and in their applications to a wide variety of problems in various fields of science and technology. Part I: Methods includes papers on theoretical foundations of OWA operators and their extensions. The papers in Part II: Applications show some more relevant applications of the OWA operators, mostly means, as powerful yet general aggregation operators. The application areas are exemplified by environmental modeling, social networks, image analysis, financial decision making and water resource management.

Between Mind and Computer: Fuzzy Science and Engineering

Author : P-Z Wang
Publisher : World Scientific
ISBN 13 : 9814602299
Total Pages : 404 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Between Mind and Computer: Fuzzy Science and Engineering by : P-Z Wang

Download or read book Between Mind and Computer: Fuzzy Science and Engineering written by P-Z Wang and published by World Scientific. This book was released on 1994-01-24 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The “Fuzzy Explosion” emanating from Japan has compelled more people than ever to ponder the meaning and potential of fuzzy engineering. Scientists all over are now beginning to harness the power of fuzzy recognition and decision-making — reminescent of the way the human mind works — in computer applications. In this book a blue-ribbon list of contributors discusses the latest developments in topics such as possibility logic programming, truth-valued flow inference, fuzzy neural-logic networks and default knowledge representation. This volume is the first in a series aiming to document advances in fuzzy set theory and its applications. Contents:Foreword (L Zadeh)Preface (P-Z Wang & K-F Loe)Hypothetical Reasoning in Possibilistic Logic: Basic Notions, Applications and Implementation Issues (S Benferhat et al.)An Automatic Start-Up and Shut-Down Control of a Drum-Type Boiler Using Fuzzy Logic (Z Bien et al.)Applicability of the Fuzzy Controller (J J Buckley)Fuzzy Representation and Inference Methods (I B Turksen)Fuzzy Neural-Logic Networks (S C Chan et al.)I-Fuzzy Structure: The World of Strictly Monotonous Norms (L T Kóczy)Fuzzy Decision Making: A Survey (P-T Chang & E S Lee)Fuzzy Topology Stratifications and Category Theory (Y-M Liu)Foundations of Fuzzy Logic Programming (M Mukaidono & H Kikuchi)Optimization of Fuzzy Models for System Analysis, Pattern Recognition and Knowledge Engineering (W Pedrycz)Non Standard Fuzzy Arithmetic (E Sanchez)Fuzzy Random Dynamic Systems (G-Y Wang & J-P Ou)Truth Valued Flow Inference and Its Mathematical Theory (P-Z Wang & H-M Zhang)Default Knowledge Representation in the Theory of Approximate Reasoning: An Implementation (H Scarpelli et al.). Readership: Computer scientists. Keywords:Fuzzy Science;Fuzzy Engineering;Knowledge Representation;Fuzzy Representation;Fuzzy Neural Networks;Fuzzy Control;Fuzzy Structure;Fuzzy Decision Making;Fuzzy Logic Programming;Fuzzy Modeling;Hypothetical Reasoning;Truth-Valued Inference;Fuzzy Random Dynamic Systems;Fuzzy Topology;Possibilistic LogicReviews: “Between Mind and Computers presents a wealth of information about fuzzy logic and its applications. In my view, it is a must-read for everyone who is interested in developing a thorough understanding of the theory and an up-to-date familiarity with its applications.” Foreword by Lotfi A Zadeh University of California, Berkeley

Views on Fuzzy Sets and Systems from Different Perspectives

Author : Rudolf Seising
Publisher : Springer Science & Business Media
ISBN 13 : 354093801X
Total Pages : 604 pages
Book Rating : 4.5/5 (49 download)

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Book Synopsis Views on Fuzzy Sets and Systems from Different Perspectives by : Rudolf Seising

Download or read book Views on Fuzzy Sets and Systems from Different Perspectives written by Rudolf Seising and published by Springer Science & Business Media. This book was released on 2009-04-03 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the complete philosophy of Fuzzy Set Theory. It offers a collection of views from scholars involved in various research projects concerning fuzziness in science, technology, economic systems, social sciences, logics and philosophy.

Modeling Decisions for Artificial Intelligence

Author : Vicenç Torra
Publisher : Springer
ISBN 13 : 3642162924
Total Pages : 299 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Modeling Decisions for Artificial Intelligence by : Vicenç Torra

Download or read book Modeling Decisions for Artificial Intelligence written by Vicenç Torra and published by Springer. This book was released on 2010-10-31 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 7th InternationalConference on Modeling Decisions for Artificial Intelligence, MDAI 2010,held in Perpignan, France, in October 2010. The 25 papers presented were carefully reviewed and selected from 43submissions. The volume also contains extended abstracts of the threeinvited papers. The topics covered are aggregation operators anddecision making; clustering and similarity; computational intelligence;and data privacy.

Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables

Author : Shoumei Li
Publisher : Springer Science & Business Media
ISBN 13 : 9401599327
Total Pages : 399 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables by : Shoumei Li

Download or read book Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables written by Shoumei Li and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: After the pioneering works by Robbins {1944, 1945) and Choquet (1955), the notation of a set-valued random variable (called a random closed set in literatures) was systematically introduced by Kendall {1974) and Matheron {1975). It is well known that the theory of set-valued random variables is a natural extension of that of general real-valued random variables or random vectors. However, owing to the topological structure of the space of closed sets and special features of set-theoretic operations ( cf. Beer [27]), set-valued random variables have many special properties. This gives new meanings for the classical probability theory. As a result of the development in this area in the past more than 30 years, the theory of set-valued random variables with many applications has become one of new and active branches in probability theory. In practice also, we are often faced with random experiments whose outcomes are not numbers but are expressed in inexact linguistic terms.

Multicriteria and Multiagent Decision Making with Applications to Economics and Social Sciences

Author : Aldo G. S. Ventre
Publisher : Springer
ISBN 13 : 3642356354
Total Pages : 321 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Multicriteria and Multiagent Decision Making with Applications to Economics and Social Sciences by : Aldo G. S. Ventre

Download or read book Multicriteria and Multiagent Decision Making with Applications to Economics and Social Sciences written by Aldo G. S. Ventre and published by Springer. This book was released on 2013-12-06 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a comprehensive and timely report on the topic of decision making and decision analysis in economics and the social sciences. The various contributions included in the book, selected using a peer review process, present important studies and research conducted in various countries around the globe. The majority of these studies are concerned with the analysis, modeling and formalization of the behavior of groups or committees that are in charge of making decisions of social and economic importance. Decisions in these contexts have to meet precise coherence standards and achieve a significant degree of sharing, consensus and acceptance, even in uncertain and fuzzy environments. This necessitates the confluence of several research fields, such as foundations of social choice and decision making, mathematics, complexity, psychology, sociology and economics. A large spectrum of problems that may be encountered during decision making and decision analysis in the areas of economics and the social sciences, together with a broad range of tools and techniques that may be used to solve those problems, are presented in detail in this book, making it an ideal reference work for all those interested in analyzing and implementing mathematical tools for application to relevant issues involving the economy and society.

Fuzzy Sets and Their Extensions: Representation, Aggregation and Models

Author : Humberto Bustince
Publisher : Springer
ISBN 13 : 3540737235
Total Pages : 674 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Fuzzy Sets and Their Extensions: Representation, Aggregation and Models by : Humberto Bustince

Download or read book Fuzzy Sets and Their Extensions: Representation, Aggregation and Models written by Humberto Bustince and published by Springer. This book was released on 2007-10-30 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: This carefully edited book presents an up-to-date state of current research in the use of fuzzy sets and their extensions. It pays particular attention to foundation issues and to their application to four important areas where fuzzy sets are seen to be an important tool for modeling and solving problems. The book’s 34 chapters deal with the subject with clarity and effectiveness. They include four review papers introducing some non-standard representations

Decision Theory With Imperfect Information

Author : Aliev Rafig Aziz
Publisher : World Scientific
ISBN 13 : 9814611050
Total Pages : 468 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Decision Theory With Imperfect Information by : Aliev Rafig Aziz

Download or read book Decision Theory With Imperfect Information written by Aliev Rafig Aziz and published by World Scientific. This book was released on 2014-08-08 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every day decision making in complex human-centric systems are characterized by imperfect decision-relevant information. The principal problems with the existing decision theories are that they do not have capability to deal with situations in which probabilities and events are imprecise. In this book, we describe a new theory of decision making with imperfect information. The aim is to shift the foundation of decision analysis and economic behavior from the realm bivalent logic to the realm fuzzy logic and Z-restriction, from external modeling of behavioral decisions to the framework of combined states.This book will be helpful for professionals, academics, managers and graduate students in fuzzy logic, decision sciences, artificial intelligence, mathematical economics, and computational economics.