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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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An EOQ model of deteriorating item in imprecise environment with dynamic deterioration and credit linked demand

TL;DR: An inventory model for a deteriorating item with time dependent deterioration has been developed in imprecise environment and non-linear optimization problems for different models are solved using a gradient based optimization technique – Generalized Reduced Gradient (GRG) method.
Journal ArticleDOI

Uncertain agency models with multi-dimensional incomplete information based on confidence level

TL;DR: This paper characterizes the incomplete information by uncertain variable, because it has been an appropriate tool to depict subjective assessment and model human uncertainty, and presents another decision rule based on confidence level.
Journal ArticleDOI

Optimal pricing decisions in a fuzzy dual-channel supply chain

TL;DR: Two pricing models, including centralized decision model and manufacturer-leader Stackelberg game, with consideration of different market power structures are adopted, determined using game theoretical approach and fuzzy set theory for each model.
Journal ArticleDOI

An uncertain contract model for rural migrant worker's employment problems

TL;DR: If the rural migrant worker’s own income at home is higher, she is less willing to pay much effort on work, i.e., the rural migrants’ optimal effort level decreases with her Income at home.
Journal ArticleDOI

A multi-objective chance-constrained network optimal model with random fuzzy coefficients and its application to logistics distribution center location problem

TL;DR: A multi-objective network optimal model with random fuzzy coefficients for the logistics distribution center location problem is proposed and the spanning tree-based genetic algorithm by the Prüfer number representation is introduced to solve the crisp multiobjective programming.
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.