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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 ArticleDOI

Random fuzzy delayed renewal processes

TL;DR: A delayed renewal process with random fuzzy interarrival times is proposed in this paper based on the random fuzzy theory, and useful theorems such as the elementary renewal theorem, the Blackwell renewal theorem and the Smith key renewal theorem are extended.
Proceedings ArticleDOI

A Distance Method for Multi-Period Fuzzy Multi-Attribute Decision Making

Shaowen Yao
TL;DR: In this paper, the multi-period fuzzy multi-attribute decision making is discussed, where the attribute values are considered as riangular fuzzy variables and a new approach to determine the weights of all periods is proposed.
Journal ArticleDOI

Portfolio selection under uncertainty by the ordered modular average operator

TL;DR: The mean-variance model in this work using OMA with the decumulative probabilities can encode not only the decision makers’ assessment of relative likelihoods but also the confidence attached to such assessment in the evaluation.
Journal ArticleDOI

Remanufacturing with patented technique royalty under asymmetric information and uncertain markets

TL;DR: In this article, a dual-channel recycling closed-loop supply chain (CLSC) was studied and the royalty strategy involving cost-reducing technique for remanufacturing patented products was investigated.
Journal ArticleDOI

A note on uncertain sequence

TL;DR: It is proved that the uncertain integral of a deterministic function with respect to a Liu process has a normal uncertainty distribution and some convergence theorems for continuous uncertain measures are derived.
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.