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Introduction

In: Interval Linear Programming and Extensions

Author

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  • Milan Hladík

    (Charles University)

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.

Suggested Citation

  • Milan Hladík, 2025. "Introduction," Springer Optimization and Its Applications, in: Interval Linear Programming and Extensions, chapter 0, pages 25-43, Springer.
    • Handle: RePEc:spr:spochp:978-3-031-85096-7_2
    DOI: 10.1007/978-3-031-85096-7_2
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