This chapter introduces and discusses the basic notions of decision-making in a multicriteria environment, namely, the set of feasible alternatives, the vector criterion and the preference relation of a decision-maker. Here we formulate the multicriteria choice problem. In addition, Chap. 1 defines a pair of fundamentally important notions, the set of nondominated alternatives and the Pareto set, which are vital for the statement and rigorous substantiation of the Edgeworth-Pareto principle.

Original languageEnglish
Title of host publicationStudies in Systems, Decision and Control
PublisherSpringer Nature
Pages1-22
Number of pages22
DOIs
StatePublished - 1 Jan 2018

Publication series

NameStudies in Systems, Decision and Control
Volume126
ISSN (Print)2198-4182
ISSN (Electronic)2198-4190

    Scopus subject areas

  • Computer Science (miscellaneous)
  • Decision Sciences (miscellaneous)
  • Economics, Econometrics and Finance (miscellaneous)
  • Automotive Engineering
  • Control and Systems Engineering
  • Control and Optimization
  • Social Sciences (miscellaneous)

ID: 36884111