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Dual type-2 fuzzy cones and their application in multicriteria choice. / Baskov, O.v.

In: Fuzzy Sets and Systems, Vol. 447, 15.10.2022, p. 182-197.

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Baskov, O.v. / Dual type-2 fuzzy cones and their application in multicriteria choice. In: Fuzzy Sets and Systems. 2022 ; Vol. 447. pp. 182-197.

BibTeX

@article{820ac4d6f67f4818b11769d9a45b3ea3,
title = "Dual type-2 fuzzy cones and their application in multicriteria choice",
abstract = "Dual type-2 fuzzy cones are defined. Formulae for infimum and supremum of any number of fuzzy grades are derived. These formulae are used to study basic properties of dual type-2 fuzzy cones. It is shown that most properties of type-1 fuzzy cones remain valid. An axiomatic approach to Pareto set reduction is then considered. A method of Pareto set reduction with the use of dual type-2 fuzzy cones is outlined.",
keywords = "Dual cone, Multiple criteria evaluation, Type-2 fuzzy sets",
author = "O.v. Baskov",
note = "Publisher Copyright: {\textcopyright} 2022 Elsevier B.V.",
year = "2022",
month = oct,
day = "15",
doi = "10.1016/j.fss.2022.02.012",
language = "English",
volume = "447",
pages = "182--197",
journal = "Fuzzy Sets and Systems",
issn = "0165-0114",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Dual type-2 fuzzy cones and their application in multicriteria choice

AU - Baskov, O.v.

N1 - Publisher Copyright: © 2022 Elsevier B.V.

PY - 2022/10/15

Y1 - 2022/10/15

N2 - Dual type-2 fuzzy cones are defined. Formulae for infimum and supremum of any number of fuzzy grades are derived. These formulae are used to study basic properties of dual type-2 fuzzy cones. It is shown that most properties of type-1 fuzzy cones remain valid. An axiomatic approach to Pareto set reduction is then considered. A method of Pareto set reduction with the use of dual type-2 fuzzy cones is outlined.

AB - Dual type-2 fuzzy cones are defined. Formulae for infimum and supremum of any number of fuzzy grades are derived. These formulae are used to study basic properties of dual type-2 fuzzy cones. It is shown that most properties of type-1 fuzzy cones remain valid. An axiomatic approach to Pareto set reduction is then considered. A method of Pareto set reduction with the use of dual type-2 fuzzy cones is outlined.

KW - Dual cone

KW - Multiple criteria evaluation

KW - Type-2 fuzzy sets

UR - http://www.scopus.com/inward/record.url?scp=85126461485&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/77533653-e511-35b3-bf0e-e317f9c40710/

U2 - 10.1016/j.fss.2022.02.012

DO - 10.1016/j.fss.2022.02.012

M3 - Article

VL - 447

SP - 182

EP - 197

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

SN - 0165-0114

ER -

ID: 96692619