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The book delves into the concepts of convexity and concavity within linear spaces, highlighting their significance in solving optimization problems, whether single or multi-objective. It explores generalized convex sets and concave functions, demonstrating their utility beyond traditional convex scenarios, including ensuring local optima are global. The second part addresses decision-making and optimization under uncertainty, showcasing the broader applications of these mathematical principles in real-world contexts.
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Generalized Concavity in Fuzzy Optimization and Decision Analysis, Jaroslav Ramík, Milan Vlach
- Language
- Released
- 2012
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- (Paperback)
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- Title
- Generalized Concavity in Fuzzy Optimization and Decision Analysis
- Language
- English
- Authors
- Jaroslav Ramík, Milan Vlach
- Publisher
- Springer US
- Released
- 2012
- Format
- Paperback
- Pages
- 316
- ISBN13
- 9781461355779
- Category
- Business and Economics, Mathematics
- Description
- The book delves into the concepts of convexity and concavity within linear spaces, highlighting their significance in solving optimization problems, whether single or multi-objective. It explores generalized convex sets and concave functions, demonstrating their utility beyond traditional convex scenarios, including ensuring local optima are global. The second part addresses decision-making and optimization under uncertainty, showcasing the broader applications of these mathematical principles in real-world contexts.