Scoring indices, top-truncated preferences, and splitting invariance

Q.Q. Kong; H. Peters

doi:10.1016/j.orl.2023.01.010

Scoring indices, top-truncated preferences, and splitting invariance

Q.Q. Kong, H. Peters^*

^*Corresponding author for this work

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

Abstract

We present a new characterization of the class of weight-based scoring indices for ranking problems with top-truncated preferences. The main novel axiom is Splitting Invariance: if an alternative is split up into a number of distinct yet unranked alternatives, then the total score of these alternatives should increase by the score of the original alternative, and the scores of the other alternatives should not change. (c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).

Original language	English
Pages (from-to)	159-162
Number of pages	4
Journal	Operations Research Letters
Volume	51
Issue number	2
DOIs	https://doi.org/10.1016/j.orl.2023.01.010
Publication status	Published - 1 Mar 2023

Keywords

Weight -based scoring index
Top -truncated preferences
Splitting invariance
DERIVING WEIGHTS
BORDA RULE
AGGREGATION
Top-truncated preferences
Weight-based scoring index

Access to Document

10.1016/j.orl.2023.01.010Licence: CC BY

Cite this

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title = "Scoring indices, top-truncated preferences, and splitting invariance",

abstract = "We present a new characterization of the class of weight-based scoring indices for ranking problems with top-truncated preferences. The main novel axiom is Splitting Invariance: if an alternative is split up into a number of distinct yet unranked alternatives, then the total score of these alternatives should increase by the score of the original alternative, and the scores of the other alternatives should not change. (c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).",

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author = "Q.Q. Kong and H. Peters",

note = "data source: Funding Information: This work has been supported by the Natural Science Foundation of Jiangsu Province [grand number BK20220869 ]. We thank an associate editor and reviewer for valuable comments. Publisher Copyright: {\textcopyright} 2023 The Author(s)",

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AU - Peters, H.

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AB - We present a new characterization of the class of weight-based scoring indices for ranking problems with top-truncated preferences. The main novel axiom is Splitting Invariance: if an alternative is split up into a number of distinct yet unranked alternatives, then the total score of these alternatives should increase by the score of the original alternative, and the scores of the other alternatives should not change. (c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).

KW - Weight -based scoring index

KW - Top -truncated preferences

KW - Splitting invariance

KW - DERIVING WEIGHTS

KW - BORDA RULE

KW - AGGREGATION

KW - Top-truncated preferences

KW - Weight-based scoring index

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DO - 10.1016/j.orl.2023.01.010

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