Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
On Multicriteria Choice Based on Type-2 Fuzzy Preference Relation : An Axiomatic Approach. / Noghin, V. D.; Baskov, O. V.
IEEE CIS International Conference on Fuzzy Systems 2021, FUZZ 2021 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2021. (IEEE International Conference on Fuzzy Systems).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
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TY - GEN
T1 - On Multicriteria Choice Based on Type-2 Fuzzy Preference Relation
T2 - 2021 IEEE CIS International Conference on Fuzzy Systems, FUZZ 2021
AU - Noghin, V. D.
AU - Baskov, O. V.
N1 - Publisher Copyright: © 2021 IEEE.
PY - 2021/7/11
Y1 - 2021/7/11
N2 - A multicriteria choice problem is considered. The setting of this problem includes three objects, namely, a set of feasible alternatives, a numerical vector criterion, and a decision maker's binary strict preference relation. The Edgeworth - Pareto principle is a fundamental instrument to solve multi-criteria problems. Previously, the validity of this principle was established in the case of a crisp as well as a type-1 fuzzy preference relation. We assume that the preference relation is a type-2 fuzzy relation. Under two reasonable axioms the Edgeworth - Pareto principle is established. In accordance with the first axiom, an alternative not chosen in a pair should not be selected from the whole set of feasible alternatives. The second axiom is the Pareto axiom, which provides greater preference for those alternatives that have larger (smaller) values of one or more criteria.
AB - A multicriteria choice problem is considered. The setting of this problem includes three objects, namely, a set of feasible alternatives, a numerical vector criterion, and a decision maker's binary strict preference relation. The Edgeworth - Pareto principle is a fundamental instrument to solve multi-criteria problems. Previously, the validity of this principle was established in the case of a crisp as well as a type-1 fuzzy preference relation. We assume that the preference relation is a type-2 fuzzy relation. Under two reasonable axioms the Edgeworth - Pareto principle is established. In accordance with the first axiom, an alternative not chosen in a pair should not be selected from the whole set of feasible alternatives. The second axiom is the Pareto axiom, which provides greater preference for those alternatives that have larger (smaller) values of one or more criteria.
KW - Edgeworth - Pareto principle
KW - multicriteria choice
KW - type-2 fuzzy sets
KW - SETS
KW - Edgeworth-Pareto principle
UR - http://www.scopus.com/inward/record.url?scp=85114661664&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/a3b2834a-6a7c-3ff7-a38f-cf1bbff30ff9/
U2 - 10.1109/fuzz45933.2021.9494489
DO - 10.1109/fuzz45933.2021.9494489
M3 - Conference contribution
AN - SCOPUS:85114661664
T3 - IEEE International Conference on Fuzzy Systems
BT - IEEE CIS International Conference on Fuzzy Systems 2021, FUZZ 2021 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 11 July 2021 through 14 July 2021
ER -
ID: 86377179