The Edgeworth–Pareto Principle in the Case of a Type-2 Fuzzy Preference Relation

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The Edgeworth–Pareto Principle in the Case of a Type-2 Fuzzy Preference Relation. / Baskov, O. V.; Noghin, V. D.

In: Scientific and Technical Information Processing, Vol. 48, No. 5, 12.2021, p. 299-307.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{70ee3dbb5e8c4c40be6a561bf54dcc93,

title = "The Edgeworth–Pareto Principle in the Case of a Type-2 Fuzzy Preference Relation",

abstract = "Abstract: The Edgeworth–Pareto principle is extended to the class of multicriteria choice problems, in which the preference relation of the decision maker is described by a type-2 fuzzy binary relation. The necessary condition for its fulfillment is the adoption of two assumptions: the Pareto axiom and axiom of exclusion of dominated variants. Brief information about fuzzy sets and relations of types 1 and 2 precedes the main results of the paper. In order to justify the Edgeworth–Pareto principle a fuzzy set of nondominated variants is introduced in the case of a type-2 fuzzy preference relation.",

keywords = "axiomatic approach, Edgeworth–Pareto principle, multicriteria choice, Pareto set reduction, type-2 fuzzy relation",

author = "Baskov, {O. V.} and Noghin, {V. D.}",

note = "Publisher Copyright: {\textcopyright} 2021, Allerton Press, Inc.",

year = "2021",

month = dec,

doi = "10.3103/S0147688221050014",

language = "English",

volume = "48",

pages = "299--307",

journal = "Scientific and Technical Information Processing",

issn = "0147-6882",

publisher = "Allerton Press, Inc.",

number = "5",

}

RIS

TY - JOUR

T1 - The Edgeworth–Pareto Principle in the Case of a Type-2 Fuzzy Preference Relation

AU - Baskov, O. V.

AU - Noghin, V. D.

PY - 2021/12

Y1 - 2021/12

N2 - Abstract: The Edgeworth–Pareto principle is extended to the class of multicriteria choice problems, in which the preference relation of the decision maker is described by a type-2 fuzzy binary relation. The necessary condition for its fulfillment is the adoption of two assumptions: the Pareto axiom and axiom of exclusion of dominated variants. Brief information about fuzzy sets and relations of types 1 and 2 precedes the main results of the paper. In order to justify the Edgeworth–Pareto principle a fuzzy set of nondominated variants is introduced in the case of a type-2 fuzzy preference relation.

AB - Abstract: The Edgeworth–Pareto principle is extended to the class of multicriteria choice problems, in which the preference relation of the decision maker is described by a type-2 fuzzy binary relation. The necessary condition for its fulfillment is the adoption of two assumptions: the Pareto axiom and axiom of exclusion of dominated variants. Brief information about fuzzy sets and relations of types 1 and 2 precedes the main results of the paper. In order to justify the Edgeworth–Pareto principle a fuzzy set of nondominated variants is introduced in the case of a type-2 fuzzy preference relation.

KW - axiomatic approach

KW - Edgeworth–Pareto principle

KW - multicriteria choice

KW - Pareto set reduction

KW - type-2 fuzzy relation

UR - http://www.scopus.com/inward/record.url?scp=85126555530&partnerID=8YFLogxK

U2 - 10.3103/S0147688221050014

DO - 10.3103/S0147688221050014

M3 - Article

AN - SCOPUS:85126555530

VL - 48

SP - 299

EP - 307

JO - Scientific and Technical Information Processing

JF - Scientific and Technical Information Processing

SN - 0147-6882

IS - 5

ER -

ID: 96692642