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Intuitionistic Fuzzy Laplacian Twin Support Vector Machine for Semi-supervised Classification
In general, data contain noises which come from faulty instruments, flawed measurements or faulty communication. Learning with data in the context of...
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Develo** an efficient coupled function-based topology optimization code for designing lightweight compliant structures using the BESO algorithm
In this article, an engineering computational method is developed for implementing the Bi-directional Evolutionary Structural Optimization algorithm...
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On identifying fuzzy knees in fuzzy multi-criteria optimization problems
This paper introduces and analyzes the idea of fuzzy knee in fuzzy multi-criteria optimization problems. The fuzzy decision feasible region of the...
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Abstraction: Mathematics Since the Twentieth Century
The revolutions in mathematics in the nineteenth century paved the way for rapid development and unprecedented expansion in mathematics in the...
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Historical steps of development of convexity as a field
In this chapter we will show historical steps of the development of convexity as a field and, in addition, developments of the relations between...
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Engineering Applications of Design Optimization Under Uncertainty
This chapter summarizes various engineering applications of design optimization under uncertainty into two categories, i.e., reliability-based design...
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Advanced Analytics for Rock Blasting and Explosives Engineering in Mining
Blasting is a fundamental operation in the mining of metal and non-metal mine sites. There is a historical story of using explosive material in both...
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Advanced Analytics for Surface Mine Planning
Planning is one of the fundamental tasks for surface mine projects, and it can play a critical role in the success and results obtained after the...
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Graph Theory – A Survey on the Occasion of the Abel Prize for László Lovász
In this survey, we explain a few key ideas of the theory of graphs, and how these ideas have grown to form the foundation of entire research areas....
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Sets, Functions, and Cardinality
A set is a collection of objects and a function is a rule to associate objects of two sets, where the terms “collection” and “rule” are well-defined...
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Mazzola’s Sonata Construction: A Technical Approach and Its Limits
This chapter gives a prototypical example of mathematical methods that should play a role in musical composition of the future. Mazzola’s sonata is...
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Optimal Design of Smart Composites
In the present chapter, optimal design problems related to smart composites are investigated. First, the mechanical properties of a smart composite...
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Starshaped sets
This is an expository paper about the fundamental mathematical notion of starshapedness, emphasizing the geometric, analytical, combinatorial, and...
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DC programming and DCA: thirty years of developments
The year 2015 marks the 30th birthday of DC (Difference of Convex functions) programming and DCA (DC Algorithms) which constitute the backbone of...
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The Algorithmic-Device View of Informal Rigorous Mathematical Proof
A new approach to informal rigorous mathematical proof is offered. To this end, algorithmic devices are characterized and their central role in...
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Pattern Recognition for Biometrics and Bioinformatics
Biometrics and Bioinformatics are among the most important and successful applications of machine learning methods. Biometrics are physical...
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Calculus with MATLAB
The Mathworks Corp. is the world’s leading developer of technical computing software MATLAB for engineers and scientists in industries, government,...
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Support Vector Machines
SVM is one of the most popular nonparametric classification algorithms. It is optimal and is based on computational learning theory. This chapter is...
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The Algorithmic-Device View of Informal Rigorous Mathematical Proof
A new approach to informal rigorous mathematical proof is offered. To this end, algorithmic devices are characterized and their central role in...