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Theory and practice of uncertain programming

Baoding Liu
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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.

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Journal Article

A Study on Vehicle Routing Problem in the Delivery of Fresh Agricultural Products under Random Fuzzy Environment

TL;DR: A hybrid intelligent algorithm integrating random fuzzy simulation and genetic algorithm is designed to solve the delivery of fresh agricultural products vehicle routing problem with a heterogeneous fleet of vehicles and a time window constraints.
Journal ArticleDOI

Rough posynomial geometric programming

TL;DR: A rough posynomial geometric programming is put forward by the author and this model is advantageous for us to consider questions not only from the quantity of aspect, but from the quality because it contains more information than a traditional geometric programming one.
Journal ArticleDOI

The p-distance of uncertain variables

TL;DR: The properties of nonnegativity, identification, symmetry, and triangle inequality for the p- distance of uncertain variables and uncertain vectors were obtained and it was deduced the metric space which is constituted by p-distance is complete.
Journal ArticleDOI

A genetic algorithm based approach to solve multi-resource multi-objective knapsack problem for vegetable wholesalers in fuzzy environment

TL;DR: A modified multi-objective genetic algorithm (NSGA-II by Deb et al. in IEEE Trans Evol Comput 6(2):192–197, 2002) that is to maximise the profit and minimise the time to collect the objects is explained.
Proceedings ArticleDOI

Selection of Target Wells and Layers for Fracturing with Fuzzy Mathematics Method

TL;DR: This study successfully applies the fuzzy theory to the job to fracturing, an important technique of fracturing, and develops a optimizing method based on fuzzy mathematics that can optimize the selection of objective strata for fracturing treatment.
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.