Multicriteria Choice on a Fuzzy Set as a Problem of Searching for Compromise

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Multicriteria Choice on a Fuzzy Set as a Problem of Searching for Compromise. / Noghin, V. D. .

в: Scientific and Technical Information Processing, Том 46, № 6, 2019, стр. 397–403.

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

Author

Noghin, V. D. . / Multicriteria Choice on a Fuzzy Set as a Problem of Searching for Compromise. в: Scientific and Technical Information Processing. 2019 ; Том 46, № 6. стр. 397–403.

BibTeX

@article{f5aee9f4018942c39a5af8f0652962f4,

title = "Multicriteria Choice on a Fuzzy Set as a Problem of Searching for Compromise",

abstract = "A problem of multicriteria optimization on a fuzzy set specified by its membership function is considered. A two-step approach is proposed to solve this problem. It involves searching for a compromise between the available criteria and the membership function. At the first stage, a new vector criterion is formed by adding the membership function to the set of initial criteria and information about the importance of criteria in the form of quanta of information is used to reduce the Pareto set. If the reduced Pareto set is not chosen as the final solution to the multicriteria optimization problem, scalarization that uses the concept of goal programming is proposed at the second stage.",

keywords = "многокритериальный выбор, нечеткие множества, нечеткие отношения, поиск компромисса, fuzzy set, multicriteria optimization, multicriteria choice, reduction of the Pareto set, quanta of information",

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

note = "Noghin, V.D. Multicriteria Choice on a Fuzzy Set as a Problem of Searching for Compromise. Sci. Tech. Inf. Proc. 46, 397–403 (2019). https://doi.org/10.3103/S0147688219060054",

year = "2019",

doi = "10.3103/S0147688219060054",

language = "English",

volume = "46",

pages = "397–403",

journal = "Scientific and Technical Information Processing",

issn = "0147-6882",

publisher = "Allerton Press, Inc.",

number = "6",

}

RIS

TY - JOUR

T1 - Multicriteria Choice on a Fuzzy Set as a Problem of Searching for Compromise

AU - Noghin, V. D.

N1 - Noghin, V.D. Multicriteria Choice on a Fuzzy Set as a Problem of Searching for Compromise. Sci. Tech. Inf. Proc. 46, 397–403 (2019). https://doi.org/10.3103/S0147688219060054

PY - 2019

Y1 - 2019

N2 - A problem of multicriteria optimization on a fuzzy set specified by its membership function is considered. A two-step approach is proposed to solve this problem. It involves searching for a compromise between the available criteria and the membership function. At the first stage, a new vector criterion is formed by adding the membership function to the set of initial criteria and information about the importance of criteria in the form of quanta of information is used to reduce the Pareto set. If the reduced Pareto set is not chosen as the final solution to the multicriteria optimization problem, scalarization that uses the concept of goal programming is proposed at the second stage.

AB - A problem of multicriteria optimization on a fuzzy set specified by its membership function is considered. A two-step approach is proposed to solve this problem. It involves searching for a compromise between the available criteria and the membership function. At the first stage, a new vector criterion is formed by adding the membership function to the set of initial criteria and information about the importance of criteria in the form of quanta of information is used to reduce the Pareto set. If the reduced Pareto set is not chosen as the final solution to the multicriteria optimization problem, scalarization that uses the concept of goal programming is proposed at the second stage.

KW - многокритериальный выбор

KW - нечеткие множества

KW - нечеткие отношения

KW - поиск компромисса

KW - fuzzy set

KW - multicriteria optimization

KW - multicriteria choice

KW - reduction of the Pareto set

KW - quanta of information

UR - https://link.springer.com/article/10.3103/S0147688219060054

U2 - 10.3103/S0147688219060054

DO - 10.3103/S0147688219060054

M3 - Article

VL - 46

SP - 397

EP - 403

JO - Scientific and Technical Information Processing

JF - Scientific and Technical Information Processing

SN - 0147-6882

IS - 6

ER -

ID: 61526314

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