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
Linear approximations and extensions to distance based multicriteria sorting methods
Download
index.pdf
Date
2022-8-26
Author
Taş, Hasan
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
211
views
128
downloads
Cite This
Multicriteria sorting is the assignment of alternatives to predefined preference ordered classes. In this thesis, linear approximations to nearest centroid and distance-based multicriteria sorting methods are studied. Three studies are conducted. The first study is the linearization of a nearest centroid based method. In the second study, the nearest centroid classifier method is investigated under monotonic centroids and a new linear programming model is developed based on the feasibility and redundancy conditions. In the third study, a new linear octagonal approximation for nonlinear oval contours of distance functions is developed and analyzed. It is shown that the new approximation is consistent with distance functions. Due to the elimination of nonlinearities in mathematical programs, solution time significantly decreases. It is also observed that the classification accuracy increased in the studied models.
Subject Keywords
Multicriteria sorting
,
Distance functions
,
Linear approximation
,
Nearest centroid classifier
,
Distance based sorting
URI
https://hdl.handle.net/11511/98773
Collections
Graduate School of Natural and Applied Sciences, Thesis
Suggestions
OpenMETU
Core
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 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 Mathematical Programming Approach for Multiple Criteria Sorting Problems
Civelek, Merve; Karasakal, Esra (2019-06-16)
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 t...
Redundant tasks in multitasking control of discrete event systems
Schmidt, Klaus Verner (null; 2009-12-01)
This paper addresses the control of multitasking DES that allow for dealing with liveness properties in the case where multiple classes of tasks have to be independently completed by the system. Colored marking generators (CMG) have been previously introduced as a model to consider multitasking control. The computational cost of the supervisor synthesis for multitasking DES grows with the number of classes of tasks. In this paper we investigate conditions under which removing tasks of the DES model does not...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
H. Taş, “Linear approximations and extensions to distance based multicriteria sorting methods,” M.S. - Master of Science, Middle East Technical University, 2022.