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Tables of Contents for Fuzzy Reasoning in Decision Making and Optimization
Chapter/Section Title
Page #
Page Count
Fuzzy Sets and Fuzzy Logic
Fuzzy sets
1
6
Operations on fuzzy sets
7
5
The extension principle
12
7
t-norm-based operations on fuzzy numbers
19
2
Product-sum of triangular fuzzy numbers
21
3
Hamacher-sum of triangular fuzzy numbers
24
4
t-norm-basd addition of fuzzy numbers
28
2
A functional relationshipo between t-norm-based addition and multiplication
30
3
On generalization of Nguyen's theorems
33
2
Measures of possibility and necessity
35
3
A law of large numbers for fuzzy numbers
38
6
Metrics for fuzzy numbers
44
2
Possibilistic mean value and variance of fuzzy numbers
46
7
Auxiliary lemmas
53
4
Fuzzy implications
57
3
Linguistic variables
60
5
Fuzzy Multicriteria Decision Making
Averaging operators
65
8
Obtaining maximal entropy OWA operator weights
73
5
OWA Operators for Ph. D. student selection
78
7
Possibility and necessity in weighted aggregation
85
7
Benchmarking in linguistic importance weighted aggregations
92
9
Fuzzy Reasoning
The theory of approximate reasoning
101
3
Aggregation in fuzzy system modeling
104
3
Multiple fuzzy reasoning schemes
107
4
Some properties of the compositional rule of inference
111
4
Computation of the compositional rule of inference under t-norms
115
4
On the generalized method-of-case inference rule
119
4
Fuzzy Optimization
Possibilistic linear equality systems
123
7
Sensitivity analysis of ax = b and aδ x = bδ
130
4
Possibilistic systems with trapezoid fuzzy numbers
134
2
Flexible linear programming
136
6
Fuzzy linear programming with crisp relations
142
2
Possibilistic linear programming
144
4
Possibilistic quadratic programming
148
2
Multiobjective possibilistic linear programming
150
7
Fuzzy Reasoning for Fuzzy Optimization
Fuzzy reasoning for FMP
157
13
Extension to nonlinear FMP
161
1
Relation to classical LP problems
162
1
Crisp objective and fuzzy coefficients in constraints
163
1
Fuzzy objective function and crisp constraints
164
1
Relation to Zimmermann's soft constraints
164
2
Relation to Buckley's possibilistic LP
166
4
Optimization with linguistic variables
170
7
Multiobjective optimization with linguistic variables
177
2
Interdependent multiple criteria decision making
179
11
The linear case
184
2
Application functions
186
4
MOP with interdependent objectives
190
3
Additive linear interdependences
193
6
Additive nonlinear interdependences
199
2
Compound interdependences
201
2
Biobjective interdependent decision problems
203
4
Applications in Management
Nordic Paper Inc.
207
5
Outline of a macro algorithm
209
3
A fuzzy approach to real option valuation
212
7
Probabilistic real option valuation
213
2
A hybrid approach to real option valuation
215
4
The Woodstrat project
219
17
Fuzzy hyperknowledge support systems
220
11
Cognitive maps for hyperknowledge representation
231
1
Adaptive FCM for strategy formation
232
4
Soft computing methods for reducing the bullwhip effect
236
19
The bullwhip effect, some additional details
240
2
Explanations for the bullwhip effect: standard results
242
1
Demand signal processing
243
1
Order batching
244
2
Price variations
246
1
A fuzzy approach to demand signal processing
247
1
A fuzzy logic controller to demand signal processing
248
2
A hybrid soft computing platform for taming the bull-whip effect
250
5
Future Trends in Fuzzy Reasoning and Decision Making
Software agents and agent-based systems
255
6
Intelligence and software agents
261
3
Scenario agents
264
4
The scenario agent: basic functionality
267
1
Scenarios and scenario planning: key features
268
4
Forecasting
272
3
Industry foresight
275
3
The scenario agent
278
9
Support for OW scenarios
279
2
Support for model-based scenarios
281
4
Support for scenario building and foresight
285
2
Interpretation agent
287
3
The interpretation agent: basic functionality
288
2
Coping with imprecision
290
3
Interpretation in a business environment
293
2
Mental models and cognitive maps
295
1
A preliminary description of an interpretation agent
296
4
An interpretation agent: details
300
19
Interpretation support for OW scenarios
302
3
Interpretation support for model-based scenarios
305
4
Interpretation support for decision models
309
3
Interpretation support for data sources
312
1
Generic interpretation of agent structures
313
1
Approximate reasoning and sense-making
313
1
Support for sense-making and interpretation
314
5
Bibliography
319
18
Index
337