A Combined Approach to Reducing the Pareto Set Using Linear or Multiplicative Scalarization

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A Combined Approach to Reducing the Pareto Set Using Linear or Multiplicative Scalarization. / Noghin, V. D.

в: Scientific and Technical Information Processing, Том 44, № 5, 12.2017, стр. 373-378.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{cce2fa2768b947569052f04af63757db,

title = "A Combined Approach to Reducing the Pareto Set Using Linear or Multiplicative Scalarization",

abstract = "In this paper, the multicriteria choice problem, including the decision maker's (DM) binary preference relation, is considered. Two combined two-stage approaches are proposed. According to these approaches, first, we have to reveal some information on the DM's preference relation and then apply scalarization methods based on linear or multiplicative functions. The justification of both the combined two-stage approaches is given.",

keywords = "multicriteria choice, axiomatic approach, quant of information, linear scalarization, multiplicative scalarization, Edgeworth-Pareto principle, Pareto set reduction",

author = "Noghin, {V. D.}",

year = "2017",

month = dec,

doi = "10.3103/S0147688217050094",

language = "Английский",

volume = "44",

pages = "373--378",

journal = "Scientific and Technical Information Processing",

issn = "0147-6882",

publisher = "Allerton Press, Inc.",

number = "5",

}

RIS

TY - JOUR

T1 - A Combined Approach to Reducing the Pareto Set Using Linear or Multiplicative Scalarization

AU - Noghin, V. D.

PY - 2017/12

Y1 - 2017/12

N2 - In this paper, the multicriteria choice problem, including the decision maker's (DM) binary preference relation, is considered. Two combined two-stage approaches are proposed. According to these approaches, first, we have to reveal some information on the DM's preference relation and then apply scalarization methods based on linear or multiplicative functions. The justification of both the combined two-stage approaches is given.

AB - In this paper, the multicriteria choice problem, including the decision maker's (DM) binary preference relation, is considered. Two combined two-stage approaches are proposed. According to these approaches, first, we have to reveal some information on the DM's preference relation and then apply scalarization methods based on linear or multiplicative functions. The justification of both the combined two-stage approaches is given.

KW - multicriteria choice

KW - axiomatic approach

KW - quant of information

KW - linear scalarization

KW - multiplicative scalarization

KW - Edgeworth-Pareto principle

KW - Pareto set reduction

U2 - 10.3103/S0147688217050094

DO - 10.3103/S0147688217050094

M3 - статья

VL - 44

SP - 373

EP - 378

JO - Scientific and Technical Information Processing

JF - Scientific and Technical Information Processing

SN - 0147-6882

IS - 5

ER -

ID: 45446915