Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
A Mathematical Programming Approach for Multiple Criteria Sorting Problems
Date
2019-06-16
Author
Civelek, Merve
Karasakal, Esra
Metadata
Show full item record
Item Usage Stats
393
views
0
downloads
Cite This
Multiple criteria sorting problem is to assign alternatives, evaluated according to multiple criteria, into predefined preference ordered classes. In this study, a new distance metric based sorting method is developed to solve multiple criteria sorting problems. The aim of the proposed method is to assign each alternative to one class or a set of possible adjacent classes. In the proposed method, centroids of the classes are estimated using sample preference set provided by the decision maker. Distance to the centroids are used as a criteria aggregation function. A mathematical model is formulated to determine the weights of the distance metric. Assignment is performed according to the weighted distance of each alternative to each class’ centroids. The proposed method is applied to different data sets and its performance is compared with other methods in literature.
URI
https://hdl.handle.net/11511/84555
https://mcdm2019.files.wordpress.com/2019/06/book-of-abstracts-web-6.pdf
Conference Name
25th International Conference on Multiple Criteria Decision Making (16 Haziran 2019)
Collections
Department of Industrial Engineering, Conference / Seminar
Suggestions
OpenMETU
Core
A Mathematical programming evaluation approach for multiple criteria sorting problems
Civelek, Merve; Karasakal, Esra; Department of Operational Research (2019)
Multiple criteria sorting problem is to assign alternatives, evaluated according to multiple criteria, into predefined preference ordered classes. In this study, a new distance metric based sorting method is developed to solve multiple criteria sorting problems without specifying class thresholds between preference-ordered classes. The aim of the proposed method is to assign each alternative to one class or a set of possible adjacent classes considering the distance to class centroids. In the proposed metho...
A multiple criteria sorting approach based on distance functions
Çelik, Bilge; Karasakal, Esra; İyigün, Cem; Department of Industrial Engineering (2011)
Sorting is the problem of assignment of alternatives into predefined ordinal classes according to multiple criteria. A new distance function based solution approach is developed for sorting problems in this study. The distance to the ideal point is used as the criteria disaggregation function to determine the values of alternatives. These values are used to sort them into the predefined classes. The distance function is provided in general distance norm. The criteria disaggregation function is determined ac...
A Probabilistic and interactive approach to multiple criteria sorting
Mutlu, Sinem; Köksalan, Murat; Serin, Yaşar Yasemin; Department of Industrial Engineering (2015)
In this thesis, we develop a method in order to assign alternatives that are evaluated by multiple criteria into preference ordered classes probabilistically. Our motivation is that; when there are large sets of alternatives, placement could be realized in a fast and effective way based on a reasonable misclassification ratio. We assume that the underlying utility function of Decision Maker (DM) is additive. We first ask DM to place reference alternatives into the classes. We develop an interactive probabil...
An interactive probabilistic approach to multi-criteria sorting
BUGDACI, Asli Gul; KOKSALAN, Murat; Ozpeynirci, Selin; Serin, Yaşar Yasemin (2013-10-01)
This article addresses the problem of sorting alternatives evaluated by multiple criteria among preference-ordered classes. An interactive probabilistic sorting approach is developed in which the probability of an alternative being in each class is calculated and alternatives are assigned to classes keeping the probability of incorrect assignments below a specified small threshold value. The decision maker is occasionally required to place alternatives to classes. The probabilities for unassigned alternativ...
A New Outranking-Based Approach for Assigning Alternatives to Ordered Classes
Köksalan, Mustafa Murat; Mousseau, Vincent; Ozpeynirci, Oezguer; Ozpeynirci, Selin Bilgin (Wiley, 2009-02-01)
We consider the problem of assigning alternatives evaluated on several criteria into ordered categories C(1), C(2), ..., C(p). This problem is known as the multi-criteria sorting problem and arises in many situations such as classifying countries into different risk levels based on economical and socio-political criteria, evaluating credit applications of bank customers. We are interested in sorting methods that are grounded on the construction Of Outranking relations. Among these, the Electre Tri method re...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
M. Civelek and E. Karasakal, “A Mathematical Programming Approach for Multiple Criteria Sorting Problems,” presented at the 25th International Conference on Multiple Criteria Decision Making (16 Haziran 2019), İstanbul, Türkiye, 2019, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/84555.
