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Theory and practice of uncertain programming
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This book provides a self-contained, comprehensive and up-to-date presentation of uncertain programming theory, including numerous modeling ideas, hybrid intelligent algorithms, and applications in system reliability design, project scheduling problem, vehicle routing problem, facility location problem, and machine scheduling problem.Abstract:
Real-life decisions are usually made in the state of uncertainty such as randomness and fuzziness. How do we model optimization problems in uncertain environments? How do we solve these models? In order to answer these questions, this book provides a self-contained, comprehensive and up-to-date presentation of uncertain programming theory, including numerous modeling ideas, hybrid intelligent algorithms, and applications in system reliability design, project scheduling problem, vehicle routing problem, facility location problem, and machine scheduling problem. Researchers, practitioners and students in operations research, management science, information science, system science, and engineering will find this work a stimulating and useful reference.read more
Citations
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Proceedings ArticleDOI
Clustering Fuzzy Web Transactions with Rough k-Means
TL;DR: This paper proposes a modified k-means clustering algorithm based on properties of rough set to group the gained fuzzy web access patterns and the results are proved to be effective.
Journal ArticleDOI
Adaptive racing ranking-based immune optimization approach solving multi-objective expected value programming
TL;DR: This work investigates a bio-inspired adaptive sampling immune optimization approach to solve a general kind of nonlinear multi-objective expected value programming without any prior noise distribution and develops a useful lower bound estimate to restrict the sample sizes of random variables.
Proceedings ArticleDOI
Modeling Time-Cost Trade-Off Problem with Fuzzy Activity Duration Times
Weimin Ma,Hua Ke +1 more
TL;DR: An expected value model for the fuzzy time-cost trade-off problem is proposed, in which credibility theory is applied to describe the uncertainty of activity durationtimes, and a searching method as a hybrid intelligent algorithmintegrating fuzzy simulation and genetic algorithm is produced to search the optimal schedules.
Journal ArticleDOI
A study on two-person zero-sum rough interval continuous differential games
TL;DR: The trust measure and the expected value operator of rough interval are used to find the $$ \upalpha $$α-trust and expected equilibrium strategies for the rough zero-sum two- person continuous differential games.
Book ChapterDOI
Models and algorithm of maximum flow problem in uncertain network
Chen Zhou,Jin Peng +1 more
TL;DR: In this paper, the algorithm for solving maximum flow problem in which all arc capacities of the network are uncertain variables is introduced and some models ofmaximum flow problem with uncertain arc capacities are exhibited.
References
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Book
Fuzzy sets
TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
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Multilayer feedforward networks are universal approximators
TL;DR: It is rigorously established that standard multilayer feedforward networks with as few as one hidden layer using arbitrary squashing functions are capable of approximating any Borel measurable function from one finite dimensional space to another to any desired degree of accuracy, provided sufficiently many hidden units are available.
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Dynamic Programming
TL;DR: The more the authors study the information processing aspects of the mind, the more perplexed and impressed they become, and it will be a very long time before they understand these processes sufficiently to reproduce them.
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The concept of a linguistic variable and its application to approximate reasoning—II☆
TL;DR: Much of what constitutes the core of scientific knowledge may be regarded as a reservoir of concepts and techniques which can be drawn upon to construct mathematical models of various types of systems and thereby yield quantitative information concerning their behavior.