Introduction

Milan Hladík
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Milan Hladík: Charles University

Chapter Chapter 2 in Interval Linear Programming and Extensions, 2025, pp 25-43 from Springer

Abstract: Abstract Interval analysis, roughly speaking, is concerned with interval-valued problems. We first motivate the reader and show that interval data naturally appear in many different fields. Then, we introduce the basic interval concepts, definitions, and notation; intervals, interval vectors, and interval matrices are the key objects that accompany the reader throughout the book. As a first step, we define the basic operations on intervals (interval arithmetic) and discuss their properties. Evaluation of general functions on intervals is a more challenging problem; we present only basic enclosure techniques here.

Date: 2025
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DOI: 10.1007/978-3-031-85096-7_2

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