Foreword |
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xi | |
Preface |
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xiii | |
Acknowledgments |
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xxi | |
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Part I Environmental, Business and Other Applications of Interactive Decision Maps |
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Introduction to Interactive Decision Maps |
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3 | (32) |
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Visualization in decision screening |
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3 | (4) |
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Visualization of the Pareto frontier in a regional environmental problem |
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7 | (9) |
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Interactive Decision Maps |
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16 | (5) |
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21 | (8) |
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Computational aspects of the IDM technique |
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29 | (6) |
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35 | (34) |
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Ocean waste management decisions |
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36 | (4) |
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Search for efficient water-related strategies of regional agricultural development |
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40 | (8) |
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Analysis of long-term development of a national economy |
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48 | (5) |
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Searching for trans-boundary air pollution control strategies |
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53 | (7) |
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Searching for smart strategies for abatement of global climate change |
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60 | (9) |
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69 | (30) |
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On the real-life application of decision support techniques: identification of national goals |
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69 | (5) |
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DSS for water quality planning in river basins |
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74 | (7) |
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DSS for screening of water quality improvement plans |
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81 | (18) |
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Reasonable Goals Method and its Applications |
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99 | (30) |
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Introduction to the Reasonable Goals Method |
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100 | (9) |
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RGM in water quality planning |
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109 | (2) |
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Screening of national energy production strategies |
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111 | (4) |
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Selection of a location for rural health practice |
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115 | (4) |
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RGM on the Web: application server for e-commerce |
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119 | (5) |
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Several other applications |
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124 | (2) |
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RGM as a tool for database visualization, data mining and cost-benefit analysis |
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126 | (3) |
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Non-Linear Systems and Other New Developments |
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129 | (36) |
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Feasible Goals Method for non-linear models |
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129 | (11) |
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FGM/IDM technique for non-linear models |
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140 | (6) |
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RGM/IDM technique for non-linear models |
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146 | (1) |
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Visualization of risk-related decision problems |
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147 | (7) |
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Visualization in Data Envelopment Analysis |
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154 | (11) |
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Part II Computational Methods of the IDM Technique |
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Computational Methods for Static Models |
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165 | (54) |
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Methods based on convolution of linear inequalities |
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170 | (12) |
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Methods for polyhedral approximation of convex bodies |
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182 | (17) |
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Approximating the Edgeworth--Pareto Hull in the convex case |
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199 | (2) |
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Approximating the FCS for non-linear models |
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201 | (9) |
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Approximating the EPH in the non-linear case |
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210 | (9) |
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Computational Methods for Dynamic Systems |
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219 | (18) |
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Approximation of FCSs and EPHs for dynamic systems |
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220 | (3) |
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Approximation of reachable sets for convex systems |
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223 | (2) |
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Reduction-based methods for constructing reachable sets |
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225 | (5) |
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Approximating and estimating reachable sets for non-convex systems |
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230 | (1) |
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Approximating the FCS for systems in partial derivatives |
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231 | (6) |
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Part III Several Topics Related to Mathematical Basis of IDM |
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Theory of Iterative Methods for Polyhedral Approximation of Convex Bodies |
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237 | (26) |
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Polyhedral approximation of compact convex bodies |
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237 | (2) |
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Asymptotic theory of polyhedral approximation of compact convex bodies |
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239 | (5) |
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Augmentation and cutting schemes |
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244 | (2) |
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H-classes of adaptive methods |
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246 | (3) |
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Optimality and efficiency of H-methods |
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249 | (1) |
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Optimality and efficiency of H1-methods |
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250 | (7) |
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Several optimal methods for polyhedral approximation of CCB |
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257 | (3) |
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260 | (3) |
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Perturbations of Solution Sets of Linear Systems |
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263 | (16) |
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Perturbations of convex bodies given by linear mappings |
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264 | (2) |
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Perturbations of solution sets of linear systems in Banach space |
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266 | (3) |
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Perturbations of solution sets of finite-dimensional linear inequality systems |
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269 | (4) |
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Perturbations of solution sets of linear systems of equalities and inequalities |
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273 | (2) |
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Perturbations of solution sets of linear equality systems |
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275 | (1) |
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Condition number for finite-dimensional systems and its application |
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276 | (3) |
Epilogue: New applications of IDM technique in Web |
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279 | (10) |
References |
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289 | (14) |
Author Index |
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303 | (4) |
Index |
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307 | |