Fuzzy Reasoning in Decision Making and Optimization
This book starts with the basic concepts of fuzzy arithmetics and progresses through the analysis of sup-t-norm-extended arithmetic operations, possibilistic linear systems and fuzzy reasoning approaches to fuzzy optimization. Four applications of (interdependent) fuzzy optimization and fuzzy reason...
| Κύριοι συγγραφείς: | , |
|---|---|
| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
Heidelberg :
Physica-Verlag HD : Imprint: Physica,
2002.
|
| Έκδοση: | 1st ed. 2002. |
| Σειρά: | Studies in Fuzziness and Soft Computing,
82 |
| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 1. Fuzzy Sets and Fuzzy Logic
- 1.1 Fuzzy sets
- 1.2 Operations on fuzzy sets
- 1.3 The extension principle
- 1.4 t-norm-based operations on fuzzy numbers
- 1.5 Product-sum of triangular fuzzy numbers
- 1.6 Hamacher-sum of triangular fuzzy numbers
- 1.7 t-norm-based addition of fuzzy numbers
- 1.8 A functional relationship between t-norm-based addition and multiplication
- 1.9 On generalization of Nguyen's theorems
- 1.10 Measures of possibility and necessity
- 1.11 A law of large numbers for fuzzy numbers
- 1.12 Metrics for fuzzy numbers
- 1.13 Possibilistic mean value and variance of fuzzy numbers
- 1.14 Auxiliary lemmas
- 1.15 Fuzzy implications
- 1.16 Linguistic variables
- 2. Fuzzy Multicriteria Decision Making
- 2.1 Averaging operators
- 2.2 Obtaining maximal entropy OWA operator weights
- 2.3 OWA Operators for Ph.D. student selection
- 2.4 Possibility and necessity in weighted aggregation
- 2.5 Benchmarking in linguistic importance weighted aggregations
- 3. Fuzzy Reasoning
- 3.1 The theory of approximate reasoning
- 3.2 Aggregation in fuzzy system modeling
- 3.3 Multiple fuzzy reasoning schemes
- 3.4 Some properties of the compositional rule of inference
- 3.5 Computation of the compositional rule of inference under t-norms
- 3.6 On the generalized method-of-case inference rule
- 4. Fuzzy Optimization
- 4.1 Possibilistic linear equality systems
- 4.2 Sensitivity analysis of ãx = b? and ã?x = b??.
- 4.3 Possibilistic systems with trapezoid fuzzy numbers
- 4.4 Flexible linear programming
- 4.5 Fuzzy linear programming with crisp relations
- 4.6 Possibilistic linear programming
- 4.7 Possibilistic quadratic programming
- 4.8 Multiobjective possibilistic linear programming
- 5. Fuzzy Reasoning for Fuzzy Optimization
- 5.1 Fuzzy reasoning for FMP
- 5.2 Optimization with linguistic variables
- 5.3 Multiobjective optimization with lingusitic variables
- 5.4 Interdependent multiple criteria decision making
- 5.4.1 The linear case
- 5.4.2 Application functions
- 5.5 MOP with interdependent objectives
- 5.6 Additive linear interdependences
- 5.7 Additive nonlinear interdependences
- 5.8 Compound interdependences
- 5.9 Biobjective interdependent decision problems
- 6. Applications in Management
- 6.1 Nordic Paper Inc
- 6.2 A fuzzy approach to real option valuation
- 6.3 The Woodstrat project
- 6.4 Soft computing methods for reducing the bullwhip effect
- 6.4.1 The bullwhip effect, some additional details
- 6.4.2 Explanations for the bullwhip effect: standard results
- 6.4.3 Demand signal processing
- 6.4.4 Order batching
- 6.4.5 Price variations
- 6.4.6 A fuzzy approach to demand signal processing
- 6.4.7 A fuzzy logic controller to demand signal processing
- 6.4.8 A hybrid soft computing platform for taming the bullwhip effect
- 7. Future Trends in Fuzzy Reasoning and Decision Making
- 7.1 Software agents and agent-based systems
- 7.2 Intelligence and software agents
- 7.3 Scenario agents
- 7.4 Scenarios and scenario planning: key features
- 7.5 Forecasting
- 7.6 Industry foresight
- 7.7 The scenario agent
- 7.8 Interpretation agent
- 7.9 Coping with imprecision
- 7.10 Interpretation in a business environment
- 7.11 Mental models and cognitive maps
- 7.12 A preliminary description of an interpretation agent
- 7.13 An interpretation agent: details.
