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Methods and Applications of Interval Analysis

https://doi.org/10.1137/1.9781611970906
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Cores and Stable Sets for Interval-Valued Games
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Cooperation under Interval Uncertainty
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Some Characterizations of Convex Interval Games
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Interval Solutions for TU-Games
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Measuring Poverty: An Interval Based Composite Indicator Approach
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The Analysis and the Measurement of Poverty: An Interval-Based Composite Indicator
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Preference Incorporation into Moea/D Using an Outranking Approach with Imprecise Model Parameters
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False Data Injection Attacks Detection and States Restoration Based on Power System Interval Dynamic State Estimation
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Influence of the Equation of State for Intermediate to High Pressure Systems on the Thermodynamic, Thermic and Aerodynamic Properties of Gases
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Collision Chart for Deadlock-Free Velocity Planning: Application to Multi-Robot Traffic
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False Data Injection Attacks Detection and States Restoration Based on Power System Interval Dynamic State Estimation
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Collision Chart for Deadlock-Free Velocity Planning: Application to Multi-Robot Traffic
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A Consistent and Categorical Axiomatization of Differentiation Arithmetic Applicable to First and Higher Order Derivatives
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Analytical solution of one-dimensional advection-diffusion equation with Interval Parameters
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Solving a decision problem with graded rewards
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The displacement bound estimation for structures with an interval description of uncertain parameters
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Algorithmic Differentiation and Differencing
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Interval Analysis for Circuits
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Fuzzy Expert Systems and Fuzzy Reasoning
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Fast display of curves and surfaces with correct topology in all resolutions
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Finding all characteristic curves of nonlinear resistive circuits using linear programming
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Interval optimization for integrated electrical and natural‐gas systems with combined cooling, heating, and power considering demand response
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State feedback control for stabilization of PMSM ‐based servo‐drive with parametric uncertainty using interval analysis
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Digital Arithmetic
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Uncertainty Analysis
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The Use of Threat, Vulnerability, and Consequence (TVC) Analysis for Decision Making on The Deployment of Limited Security Resources
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Interval Computation as an Important Part of Granular Computing: An Introduction
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Particle Filtering Combined with Interval Methods for Tracking Applications
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Particle Filtering Combined with Interval Methods for Tracking Applications
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Bibliography
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Random and Stochastic Structural–Acoustic Analysis
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Grey Systems Theory for Solid Waste Management
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Systems Analysis for the Future of Solid Waste Management: Challenges and Perspectives
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Nonlinear Algebraic Equations
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Interval Finite Element Method
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Universal Intervals
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Affine‐Contractor Approach to Handle Nonlinear Dynamical Problems in Uncertain Environment
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Trapezoidal Fuzzy Numbers (TrFN) and its Application in Solving Assignment Problems by Hungarian Method: A New Approach
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On Trajectory Tracking Model Predictive Control of an Unmanned Quadrotor Helicopter Subject to Aerodynamic Disturbances
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Perturbation method for computing eigenvalue bounds in structural vibration systems with interval parameters
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An approximate method for the standard interval eigenvalue problem of real non‐symmetric interval matrices
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Comparison between non‐probabilistic interval analysis method and probabilistic approach in static response problem of structures with uncertain‐but‐bounded parameters
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Computing eigenvalue bounds of structures with uncertain‐but‐non‐random parameters by a method based on perturbation theory
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TheN-body problem in quantum mechanics
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Letter to the editor finding all solutions of non‐linear resistive circuit equations via interval analysis
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Eigenvalue range determination for interval and parametric matrices
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Finding all solutions of weakly nonlinear equations using the dual simplex method
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Improving the efficiency of interval analysis by Kevorkian's decomposition technique
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Quantile‐induced uncertain heavy ordered weighted averaging operator and the application in incentive evaluation problems
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On the use of interval mathematics in fuzzy expert systems
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New Approach for Integer Ambiguity Resolution using Interval Analysis
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The Elementary Theory of Interval Real Numbers
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Fast quantum algorithms for handling probabilistic and interval uncertainty
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Nondominated solutions in a fully fuzzy linear programming problem
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A property of eigenvalue bounds for a class of symmetric tridiagonal interval matrices
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Interval finite element method for dynamic response of closed‐loop system with uncertain parameters
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Computing bounds to real eigenvalues of real‐interval matrices
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Transient waves in composite‐laminated plates with uncertain load and material property
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Interval static displacement analysis for structures with interval parameters
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Robust stability analysis of structures with uncertain parameters using mathematical programming approach
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Uncertain static plane stress analysis with interval fields
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Comparison of static response of structures using convex models and interval analysis method
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A Newton iteration‐based interval analysis method for nonlinear structural systems with uncertain‐but‐bounded parameters
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Nonlinear convex and concave relaxations for the solutions of parametric ODEs
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Taylor‐model‐based enclosure of invariant manifolds for planar diffeomorphisms and applications
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Reliability analysis of structures based on a probability‐uncertainty hybrid model
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Reliability assessment for failure‐dependent and uncertain systems: A Bayesian network based on copula method and probability‐box
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Deterministic global optimization for nonlinear model predictive control of hybrid dynamic systems
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Accelerated quantitative feedback theory interval automatic loop shaping algorithm
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Interval QFT: a mathematical and computational enhancement of QFT
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Modeling and design of networked control systems using a stochastic switching systems approach
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Reliability‐Based Optimization Design with Interval Parameters for Reducing Yaw Braking Noise
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The Alternating Direction Explicit (ADE) Method for One-Factor Problems
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Rounding Error Analysis of Interval Algorithms
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Existence Regions and Error Bounds for Implicit and Inverse Functions
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Using Interval Methods for the Numerical Solution of ODE's
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Enclosure Methods as Applied to Linear Periodic ODEs and Matrices
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A Unified Approach to Enclosure Methods for Eigenpairs
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Novel Techniques for Robust Voxelization and Visualization of Implicit Surfaces
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On the Complexity of Exclusion Algorithms for Optimization
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Computing in the Field of Complex Algebraic Numbers
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A Parser for the Interval Evaluation of Analytical Functions and its Application to Engineering Problems
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Global Optimization Methods for Harmonic Retrieval
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Automatic Differentiation: Point and Interval
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Automatic differentiation: Point and interval; Automatic differentiation: Point and interval Taylor operators; Bounding derivative ranges; Global optimization: Application to phase equilibrium problems; Interval analysis: Application to chemical engineering design problems; Interval analysis:…
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Asynchronous distributed optimization algorithms; Automatic differentiation: Parallel computation; Automatic differentiation: Point and interval; Automatic differentiation: Point and interval Taylor operators; Bounding derivative ranges; Global optimization: Application to phase equilibrium…
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Automatic differentiation: Point and interval; Automatic differentiation: Point and interval Taylor operators; Bounding derivative ranges; Contraction-mapping; Global optimization: Application to phase equilibrium problems; Global optimization methods for systems of nonlinear equations; Interval…
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αBB algorithm; Automatic differentiation: Point and interval; Automatic differentiation: Point and interval Taylor operators; Bounding derivative ranges; Continuous global optimization: Applications; Continuous global optimization: Models, algorithms and software; Global optimization: Application…
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ABS algorithms for linear equations and linear least squares; Automatic differentiation: Point and interval; Automatic differentiation: Point and interval Taylor operators; Bounding derivative ranges; Cholesky factorization; Global optimization: Application to phase equilibrium problems; Interval…
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Mixed Integer Nonlinear Programming
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Bounding Derivative Ranges
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Numerical Computations
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Solvability of systems of interval linear equations and inequalities
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Integrated Risk Analysis for Sustainable Water Resources Management
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Structural Model Validation and the Lack-of-Knowledge Theory
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Use of Constraint Programming for Design
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Nonlinear Predictive Control Using Constraints Satisfaction
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Benchmarking on Approaches to Interval Observation Applied to Robust Fault Detection
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Reconstructing Metabolic Networks Using Interval Analysis
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HPC-ICTM: The Interval Categorizer Tessellation-Based Model for High Performance Computing
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Counting the Number of Connected Components of a Set and Its Application to Robotics
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Interval-Based Markov Decision Processes for Regulating Interactions Between Two Agents in Multi-agent Systems
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A Domain Theoretic Account of Euler’s Method for Solving Initial Value Problems
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Compressing 3D Measurement Data Under Interval Uncertainty
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The Distributed Interval Geometric Machine Model
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Interval Methods: An Introduction
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Performance of Taylor Model Methods for Validated Integration of ODEs
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On the Use of Intervals in Scientific Computing: What Is the Best Transition from Linear to Quadratic Approximation?
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Improved Solution Enclosures for Over- and Underdetermined Interval Linear Systems
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Exchange Values and Self-regulation of Exchanges in Multi-agent Systems: The Provisory, Centralized Model
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Introducing Interval Analysis in Fuzzy Cognitive Map Framework
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Interval Analysis and Robotics
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Program correctness and machine arithmetic
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An interval method for systems of ode
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Interval test and existence theorem
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On an interval computational method for finding the reachable set in time-optimal control problems
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On the optimality of inclusion algorithms
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Algebraic computation, numerical computation and verified inclusions
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Fuzzy Sets
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Introduction
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Fuzzy Sets
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Fuzzy Sets
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Optimization and Decision Making under Interval and Fuzzy Uncertainty: Towards New Mathematical Foundations
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Guaranteed Optimization of the Parameters of Continuous-Time Knowledge-Based Models
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A Population and Interval Constraint Propagation Algorithm
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Sensitivity and Uncertainty Analysis in Optimization Programs Using an Evolutionary Approach
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A Pattern Language for Parallel Application Programs
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Self-Adaptive Multi-sensor Systems
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Grid-Based Histogram Arithmetic for the Probabilistic Analysis of Functions
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Optimal Pruning in Parametric Differential Equations
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A New Approach to Incorporate Uncertainty in Terrain Modeling
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Static Analyses of the Precision of Floating-Point Operations
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A Case Study on the Cost of Geometric Computing
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Learning from Linguistic Rules and Rule Extraction for Function Approximation by Neural Networks
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Consistency Techniques in Ordinary Differential Equations
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Asymptotic estimation of oscillating functions using an interval calculus
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Computer assisted proofs
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Solving linear, min and max constraint systems using CLP based on relational interval arithmetic
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Soft Computer-Aided System Theory and Technology (SCAST)
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A foundation for computable analysis
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Precision and robustness in geometric computations
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Fuzzy Optimization
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Modelling of Vague and Precise Geometric Information for Supporting the Entire Design Process
inferred← citeshttps://doi.org/10.1007/978-0-387-35187-2_25openalex-snapshot
Representation of Geometric Tolerances and its Application to Verify Assemblability between Toleranced Parts
inferred← citeshttps://doi.org/10.1007/978-0-387-36721-7_4openalex-snapshot
Towards Optimal Compression of Meteorological Data: A Case Study of Using Interval-Motivated Overestimators in Global Optimization
inferred← citeshttps://doi.org/10.1007/978-0-387-74759-0_240openalex-snapshot
Global Optimization Methods for Harmonic Retrieval
inferred← citeshttps://doi.org/10.1007/978-0-387-74759-0_28openalex-snapshot
Automatic Differentiation: Point and Interval
inferred← citeshttps://doi.org/10.1007/978-0-387-74759-0_294openalex-snapshot
Interval Analysis: Differential Equations
inferred← citeshttps://doi.org/10.1007/978-0-387-74759-0_299openalex-snapshot
Interval Analysis: Parallel Methods for Global Optimization
inferred← citeshttps://doi.org/10.1007/978-0-387-74759-0_301openalex-snapshot
Interval Analysis: Systems of Nonlinear Equations
inferred← citeshttps://doi.org/10.1007/978-0-387-74759-0_306openalex-snapshot
Interval Global Optimization
inferred← citeshttps://doi.org/10.1007/978-0-387-74759-0_307openalex-snapshot
Interval Linear Systems
inferred← citeshttps://doi.org/10.1007/978-0-387-74759-0_394openalex-snapshot
Mixed Integer Nonlinear Programming
inferred← citeshttps://doi.org/10.1007/978-0-387-74759-0_56openalex-snapshot
Bounding Derivative Ranges
inferred← citeshttps://doi.org/10.1007/978-0-387-76813-7_18openalex-snapshot
Grey Fuzzy Multi-Objective Optimization
inferred← citeshttps://doi.org/10.1007/978-0-387-77247-9_27openalex-snapshot
A Military Application of Viability: Winning Cones, Differential Inclusions, and Lanchester Type Models for Combat
inferred← citeshttps://doi.org/10.1007/978-0-387-95857-6_22openalex-snapshot
Interval Methods for Optimal Control
inferred← citeshttps://doi.org/10.1007/978-0-85729-974-1_3openalex-snapshot
Identifiability, and Beyond
inferred← citeshttps://doi.org/10.1007/978-1-0716-2628-3_236openalex-snapshot
Fuzzy Optimization
inferred← citeshttps://doi.org/10.1007/978-1-0716-2628-3_722openalex-snapshot
Interval Computing
inferred← citeshttps://doi.org/10.1007/978-1-4020-4941-5_5openalex-snapshot
On the regularity of the inverse Jacobian of parallel robots
inferred← citeshttps://doi.org/10.1007/978-1-4020-6552-1_5openalex-snapshot
Knowledge Discovery in Environmental Data
inferred← citeshttps://doi.org/10.1007/978-1-4419-5754-2_34openalex-snapshot
On the Rough Number Computation and the Ada Language
inferred← citeshttps://doi.org/10.1007/978-1-4419-8020-5_11openalex-snapshot
Interval Approach for Evolving Granular System Modeling
inferred← citeshttps://doi.org/10.1007/978-1-4419-9184-3_7openalex-snapshot
Non-Analytical Approaches to Model-Based Fault Detection and Isolation
inferred← citeshttps://doi.org/10.1007/978-1-4471-0495-7_21openalex-snapshot
Bipolar and Multipolar Coordinates
inferred← citeshttps://doi.org/10.1007/978-1-4471-0495-7_24openalex-snapshot
Interval and Affine Arithmetic for Surface Location of Power— and Bernstein—Form Polynomials
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