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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
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Journal ArticleDOI
A branch and efficiency algorithm to design a sustainable two-echelon supply chain network considering traffic congestion and uncertainty
TL;DR: In this paper , a branch and efficiency (B&E) algorithm is developed, which includes an optimization model and an evaluation model simultaneously minimizes the total cost of the supply chain, maximizes the sustainability score, and minimizes inequity among customers.
Proceedings ArticleDOI
A dependent-chance programming model for fuzzy time-cost trade-off problem
TL;DR: A new fuzzy time-cost trade-off model with the philosophy of dependent-chance programming is proposed, in which credibility theory is applied to describe the uncertainty of activity durations, to reveal how to obtain the optimal balance of the project completion time and the project cost in fuzzy environment.
Journal ArticleDOI
Uncertain Relations on a Finite Set and their Properties
TL;DR: In this paper, the property of the uncertain relations is examined by the uncertainty theory, and a simple example is presented to illustrate the method of calculating the property index of an uncertain relation based on uncertain theory.
Possibility measure, product possibility space and the notion of independence
Kakuzo Iwamura,Masayuki Kageyama +1 more
TL;DR: In this article, the authors discuss possibility measure, product possibility space, and the notion of independence in their full details, and discuss the possibility measure as a metric for product possibility spaces.
References
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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.