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Theory and practice of uncertain programming
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TLDR
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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Journal ArticleDOI
Credibilistic Clustering: The Model and Algorithms
TL;DR: Based on some randomly generated data sets, experimental results show that CCA can deal with the “coincident problem” with good clustering results, and it is more robust to noise than PCA.
Journal ArticleDOI
A Chance Constrained Programming Model for Reliable Emergency Vehicles Relocation Problem
TL;DR: In this article, the authors extended the DYNACO model with chance-constrained programming framework for the optimal redeployment of emergency vehicles and solved the problem using genetic algorithm and Monte-Carlo simulation.
Journal ArticleDOI
Uncertain systems are universal approximators
Zixiong Peng,Xiaowei Chen +1 more
TL;DR: In this article, it was shown that uncertain systems are universal approximators, which means that they are capable of approximating any continuous function on a compact set to arbitrary accuracy, which can be viewed as an existence theorem of an optimal uncertain system for a wide variety of problems.
Journal ArticleDOI
Fuzzy age-dependent replacement policy and SPSA algorithm based-on fuzzy simulation
TL;DR: A fuzzy age-dependent replacement policy is considered in which the lifetimes of components are treated as fuzzy variables and a programming model is formulated to minimize the long-term expected cost per unit time.
Some Properties of Product Uncertain Measure
Zixiong Peng,Kakuzo Iwamura +1 more
TL;DR: In this paper, the product uncertain measure is shown to be an uncertain measure, which also means that the product axiom is consistent with other axioms in uncertainty theory, which is the first fundamental concept of uncertainty theory.
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.
Journal ArticleDOI
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.
Book
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.
Journal ArticleDOI
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.