Fuzzy Multicriteria Decision-Making (eBook, PDF)
Models, Methods and Applications
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Fuzzy Multicriteria Decision-Making (eBook, PDF)
Models, Methods and Applications
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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…mehr
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- Produktdetails
- Verlag: John Wiley & Sons
- Seitenzahl: 360
- Erscheinungstermin: 13. Oktober 2010
- Englisch
- ISBN-13: 9780470974049
- Artikelnr.: 37301284
- Verlag: John Wiley & Sons
- Seitenzahl: 360
- Erscheinungstermin: 13. Oktober 2010
- Englisch
- ISBN-13: 9780470974049
- Artikelnr.: 37301284
Planning, Operation, and Control: Motivation, Objectives, and Basic
Concepts. 1.1 Decision-Making and its Support. 1.2 Optimization and
Decision-Making Problems. 1.3 Multicriteria Decision-Making. 1.4 Group
Decision-Making. 1.5 Fuzzy Sets and their Role in Decision-Making
Processes. 1.6 Conclusions. References. 2 Notions and Concepts of Fuzzy
Sets: An Introduction. 2.1 Sets and Fuzzy Sets: A Fundamental Departure
from the Principle of Dichotomy. 2.2 Interpretation of Fuzzy Sets. 2.3
Membership Functions and Classes of Fuzzy Sets. 2.4 Fuzzy Numbers and
Intervals. 2.5 Linguistic Variables. 2.6 A Generic Characterization of
Fuzzy Sets: Some Fundamental Descriptors. 2.7 Geometric Interpretation of
Sets and Fuzzy Sets. 2.8 Fuzzy Sets and the Family of alpha-cuts. 2.9
Operations on Fuzzy Sets. 2.11 Conclusions. References. 3 Selected Design
and Processing Aspects of Fuzzy Sets. 3.1 The Development of Fuzzy Sets:
Elicitation of Membership Functions. 3.2 Aggregation Operations. 3.3
Transformations of Fuzzy Sets. 3.4 Conclusions. References. 4 Continuous
Models ofMulticriteria Decision-Making and their Analysis. 4.1 Continuous
Models (X,M Models) of Multicriteria Decision-Making. 4.2 Pareto-Optimal
Solutions. 4.3 Approaches to the Use of DM Information. 4.4 Methods of
Multiobjective Decision-Making. 4.5 Bellman-Zadeh Approach and its
Application to Multicriteria Decision-Making. 4.6 Multicriteria Resource
Allocation. 4.7 Adaptive Interactive Decision-Making System for
Multicriteria Resource Allocation. 4.8 Application of the Bellman-Zadeh
Approach to Multicriteria Problems. 4.9 Conclusions. References. 5
Introduction to Preference Modeling with Binary Fuzzy Relations. 5.1 Binary
Fuzzy Relations and their Fundamental Properties. 5.2 Preference Modeling
with Binary Fuzzy Relations. 5.3 Preference Structure of Binary Fuzzy
Preference Relations. 5.4 A Method for Constructing a Fuzzy Preference
Structure. 5.5 Consistency of Fuzzy Preference Relations. 5.6 Conclusions.
References. 6 Construction of Fuzzy Preference Relations. 6.1 Preference
Formats. 6.2 Ordering of Fuzzy Quantities and the Construction of Fuzzy
Preference Relations. 6.3 Transformation Functions and their Use for
Converting Different Preference Formats into Fuzzy Preference Relations.
6.4 A Method for Repairing Inconsistent Judgments. 6.5 Conclusions.
References. 7 Discrete Models of Multicriteria Decision-Making and their
Analysis. 7.1 Optimization Problems with Fuzzy Coefficients and their
Analysis. 7.2 Discrete Models (X, R Models) of Multiattribute
Decision-Making. 7.3 Basic Techniques of Analysis of X, R Models. 7.4
Interactive Decision-Making System for Multicriteria Analysis of
Alternatives in a Fuzzy Environment. 7.5 Multicriteria Analysis of
Alternatives with Fuzzy Ordering of Criteria. 7.6 Multicriteria Analysis of
Alternatives with the Concept of Fuzzy Majority. 7.7 Multicriteria Analysis
of Alternatives Based on an Outranking Approach (Fuzzy Promethee). 7.8
Application Examples. 7.9 Conclusions. References. 8 Generalization of a
Classic Approach to Dealing with Uncertainty of Information for
Multicriteria Decision Problems. 8.1 Classic Approach to Dealing with
Uncertainty of Information. 8.2 Choice Criteria. 8.3 Generalization of the
Classic Approach. 8.4 Modification of the Choice Criteria. 8.5 General
Scheme of Multicriteria Decision-Making under Uncertainty. 8.6 Application
Example. 8.7 Conclusions. References. 9 Group Decision-Making: Fuzzy
Models. 9.1 Group Decision-Making Problem and its Characteristics. 9.2
Strategies for the Analysis of Group Decision-Making Problems: Multiperson
and Multiattribute Aggregation Modes. 9.3 The Different Levels of Influence
of Each Expert in the Construction of the Collective Opinion. 9.4
Aggregation Operators for Constructing Collective Opinions on the Basis of
Fuzzy Models and their Properties. 9.5 Consistency of Pairwise Judgments in
Group Decision-Making. 9.6 Fuzzy Group Decision-Making Methods. 9.7
Conclusions. References. 10 Use of Consensus Schemes in Group
Decision-Making. 10.1 Consensus in Group Decision-Making. 10.2 Consensus
Schemes: Definition and Motivation. 10.3 Fuzzy Concordance and Fuzzy
Consensus Measures. 10.4 Moderator Interventions. 10.5 Optimal Consensus in
a Fuzzy Environment. 10.6 Consensus Schemes in Fuzzy Environment. 10.7 An
Application Related to the Balanced Scorecard Methodology. 10.8
Conclusions. References. Index.
Planning, Operation, and Control: Motivation, Objectives, and Basic
Concepts. 1.1 Decision-Making and its Support. 1.2 Optimization and
Decision-Making Problems. 1.3 Multicriteria Decision-Making. 1.4 Group
Decision-Making. 1.5 Fuzzy Sets and their Role in Decision-Making
Processes. 1.6 Conclusions. References. 2 Notions and Concepts of Fuzzy
Sets: An Introduction. 2.1 Sets and Fuzzy Sets: A Fundamental Departure
from the Principle of Dichotomy. 2.2 Interpretation of Fuzzy Sets. 2.3
Membership Functions and Classes of Fuzzy Sets. 2.4 Fuzzy Numbers and
Intervals. 2.5 Linguistic Variables. 2.6 A Generic Characterization of
Fuzzy Sets: Some Fundamental Descriptors. 2.7 Geometric Interpretation of
Sets and Fuzzy Sets. 2.8 Fuzzy Sets and the Family of alpha-cuts. 2.9
Operations on Fuzzy Sets. 2.11 Conclusions. References. 3 Selected Design
and Processing Aspects of Fuzzy Sets. 3.1 The Development of Fuzzy Sets:
Elicitation of Membership Functions. 3.2 Aggregation Operations. 3.3
Transformations of Fuzzy Sets. 3.4 Conclusions. References. 4 Continuous
Models ofMulticriteria Decision-Making and their Analysis. 4.1 Continuous
Models (X,M Models) of Multicriteria Decision-Making. 4.2 Pareto-Optimal
Solutions. 4.3 Approaches to the Use of DM Information. 4.4 Methods of
Multiobjective Decision-Making. 4.5 Bellman-Zadeh Approach and its
Application to Multicriteria Decision-Making. 4.6 Multicriteria Resource
Allocation. 4.7 Adaptive Interactive Decision-Making System for
Multicriteria Resource Allocation. 4.8 Application of the Bellman-Zadeh
Approach to Multicriteria Problems. 4.9 Conclusions. References. 5
Introduction to Preference Modeling with Binary Fuzzy Relations. 5.1 Binary
Fuzzy Relations and their Fundamental Properties. 5.2 Preference Modeling
with Binary Fuzzy Relations. 5.3 Preference Structure of Binary Fuzzy
Preference Relations. 5.4 A Method for Constructing a Fuzzy Preference
Structure. 5.5 Consistency of Fuzzy Preference Relations. 5.6 Conclusions.
References. 6 Construction of Fuzzy Preference Relations. 6.1 Preference
Formats. 6.2 Ordering of Fuzzy Quantities and the Construction of Fuzzy
Preference Relations. 6.3 Transformation Functions and their Use for
Converting Different Preference Formats into Fuzzy Preference Relations.
6.4 A Method for Repairing Inconsistent Judgments. 6.5 Conclusions.
References. 7 Discrete Models of Multicriteria Decision-Making and their
Analysis. 7.1 Optimization Problems with Fuzzy Coefficients and their
Analysis. 7.2 Discrete Models (X, R Models) of Multiattribute
Decision-Making. 7.3 Basic Techniques of Analysis of X, R Models. 7.4
Interactive Decision-Making System for Multicriteria Analysis of
Alternatives in a Fuzzy Environment. 7.5 Multicriteria Analysis of
Alternatives with Fuzzy Ordering of Criteria. 7.6 Multicriteria Analysis of
Alternatives with the Concept of Fuzzy Majority. 7.7 Multicriteria Analysis
of Alternatives Based on an Outranking Approach (Fuzzy Promethee). 7.8
Application Examples. 7.9 Conclusions. References. 8 Generalization of a
Classic Approach to Dealing with Uncertainty of Information for
Multicriteria Decision Problems. 8.1 Classic Approach to Dealing with
Uncertainty of Information. 8.2 Choice Criteria. 8.3 Generalization of the
Classic Approach. 8.4 Modification of the Choice Criteria. 8.5 General
Scheme of Multicriteria Decision-Making under Uncertainty. 8.6 Application
Example. 8.7 Conclusions. References. 9 Group Decision-Making: Fuzzy
Models. 9.1 Group Decision-Making Problem and its Characteristics. 9.2
Strategies for the Analysis of Group Decision-Making Problems: Multiperson
and Multiattribute Aggregation Modes. 9.3 The Different Levels of Influence
of Each Expert in the Construction of the Collective Opinion. 9.4
Aggregation Operators for Constructing Collective Opinions on the Basis of
Fuzzy Models and their Properties. 9.5 Consistency of Pairwise Judgments in
Group Decision-Making. 9.6 Fuzzy Group Decision-Making Methods. 9.7
Conclusions. References. 10 Use of Consensus Schemes in Group
Decision-Making. 10.1 Consensus in Group Decision-Making. 10.2 Consensus
Schemes: Definition and Motivation. 10.3 Fuzzy Concordance and Fuzzy
Consensus Measures. 10.4 Moderator Interventions. 10.5 Optimal Consensus in
a Fuzzy Environment. 10.6 Consensus Schemes in Fuzzy Environment. 10.7 An
Application Related to the Balanced Scorecard Methodology. 10.8
Conclusions. References. Index.