Using convex preference cones in multiple criteria decision making and related fields

Nasim Nasrabadi; Akram Dehnokhalaji; Pekka Korhonen; Jyrki Wallenius

doi:10.1007/s11573-019-00935-4

Using convex preference cones in multiple criteria decision making and related fields

Nasim Nasrabadi, Akram Dehnokhalaji, Pekka Korhonen, Jyrki Wallenius^*

^*Corresponding author for this work

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

Abstract

This paper reviews our own and colleagues’ research on using convex preference cones in multiple criteria decision making and related fields. The original paper by Korhonen, Wallenius, and Zionts was published in Management Science in 1984. We first present the underlying theory, concepts, and method. Then we discuss applications of the theory, particularly for finding the most preferred alternative, finding a partial and total rank ordering of alternatives, as well as developing algorithms for solving multi-objective integer and other optimization problems.

Original language	English
Pages (from-to)	699-717
Number of pages	19
Journal	Journal of Business Economics
Volume	89
Issue number	6
Early online date	26 Jun 2019
DOIs	https://doi.org/10.1007/s11573-019-00935-4 https://doi.org/10.1007/s11573-019-00935-4
Publication status	Published - 1 Aug 2019

Bibliographical note

© The Author(s) 2019. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Keywords

Convex preference cones
Data envelopment analysis
Discrete
Integer programming
Multiple criteria decision making

Access to Document

Using convex preference cones in multiple criteria decision making and related fields
© The Author(s) 2019. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Final published version, 1.24 MBLicence: CC BY 3.0

Cite this

@article{409739bd44ec4c56a0229c5b03b77e02,

title = "Using convex preference cones in multiple criteria decision making and related fields",

abstract = "This paper reviews our own and colleagues{\textquoteright} research on using convex preference cones in multiple criteria decision making and related fields. The original paper by Korhonen, Wallenius, and Zionts was published in Management Science in 1984. We first present the underlying theory, concepts, and method. Then we discuss applications of the theory, particularly for finding the most preferred alternative, finding a partial and total rank ordering of alternatives, as well as developing algorithms for solving multi-objective integer and other optimization problems.",

keywords = "Convex preference cones, Data envelopment analysis, Discrete, Integer programming, Multiple criteria decision making",

author = "Nasim Nasrabadi and Akram Dehnokhalaji and Pekka Korhonen and Jyrki Wallenius",

note = "{\textcopyright} The Author(s) 2019. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.",

year = "2019",

month = aug,

day = "1",

doi = "10.1007/s11573-019-00935-4",

language = "English",

volume = "89",

pages = "699--717",

journal = "Journal of Business Economics",

issn = "0044-2372",

publisher = "Betriebswirtschaftlicher Verlag Dr. Th. Gabler GmbH",

number = "6",

}

TY - JOUR

T1 - Using convex preference cones in multiple criteria decision making and related fields

AU - Nasrabadi, Nasim

AU - Dehnokhalaji, Akram

AU - Korhonen, Pekka

AU - Wallenius, Jyrki

N1 - © The Author(s) 2019. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

PY - 2019/8/1

Y1 - 2019/8/1

N2 - This paper reviews our own and colleagues’ research on using convex preference cones in multiple criteria decision making and related fields. The original paper by Korhonen, Wallenius, and Zionts was published in Management Science in 1984. We first present the underlying theory, concepts, and method. Then we discuss applications of the theory, particularly for finding the most preferred alternative, finding a partial and total rank ordering of alternatives, as well as developing algorithms for solving multi-objective integer and other optimization problems.

AB - This paper reviews our own and colleagues’ research on using convex preference cones in multiple criteria decision making and related fields. The original paper by Korhonen, Wallenius, and Zionts was published in Management Science in 1984. We first present the underlying theory, concepts, and method. Then we discuss applications of the theory, particularly for finding the most preferred alternative, finding a partial and total rank ordering of alternatives, as well as developing algorithms for solving multi-objective integer and other optimization problems.

KW - Convex preference cones

KW - Data envelopment analysis

KW - Discrete

KW - Integer programming

KW - Multiple criteria decision making

UR - https://link.springer.com/article/10.1007%2Fs11573-019-00935-4

UR - http://www.scopus.com/inward/record.url?scp=85068185653&partnerID=8YFLogxK

U2 - 10.1007/s11573-019-00935-4

DO - 10.1007/s11573-019-00935-4

M3 - Article

AN - SCOPUS:85068185653

SN - 0044-2372

VL - 89

SP - 699

EP - 717

JO - Journal of Business Economics

JF - Journal of Business Economics

IS - 6

ER -

Using convex preference cones in multiple criteria decision making and related fields

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this