Aggregation statistics and the methods of operational research for weighting criteria in multiple criteria decision making
Abstract
The problem of determining weights of criteria appears in many contexts in multiple criteria decision making. For solving this task it is necessary to determine individual influence of each considered criterion. Each criterion can be either quantitative - when each of attributes can take different values or qualitative - in which case only ranking of weights of criterias is possible. The weights for each criterion could be provided by experiments, tests or as experts opinions. This paper presents methodology for obtaining an aggregated measure, in the form of arithmetic means, for quantitative decision making. The measure is obtained experimentally by combining statistical methodology - based on regression and factor analysis on one hand and operational research approaches - data envelopment analysis as an objective and analytical hierarchical process as subjective method. For practical demonstration of proposed method authors used data on the students' marks, from the official databas...e at the Faculty of organizational sciences, University of Belgrade, to determine the weights of the first-year subjects in order to predict future students' success on each of the study programs, separately.
Keywords:
Weights of criteria / Regression analysis / Factor analysis / DEA / AHP / Aggregated measureSource:
Metalurgia International, 2013, 18, 111-119Publisher:
- Editura Stiintifica Fmr, Bucharest
Funding / projects:
- New Information Technologies for Analytical Decision Making Based on Experiment Observation and their Application in Biological, Economic and Sociological Systems (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-44007)
- Inovation of Forensic Methods and their Application (RS-MESTD-Technological Development (TD or TR)-34019)
Collections
Institution/Community
Fakultet organizacionih naukaTY - JOUR AU - Ranđelović, Dragan AU - Ranđelović, Milan AU - Savić, Gordana AU - Makajić-Nikolić, Dragana PY - 2013 UR - https://rfos.fon.bg.ac.rs/handle/123456789/1075 AB - The problem of determining weights of criteria appears in many contexts in multiple criteria decision making. For solving this task it is necessary to determine individual influence of each considered criterion. Each criterion can be either quantitative - when each of attributes can take different values or qualitative - in which case only ranking of weights of criterias is possible. The weights for each criterion could be provided by experiments, tests or as experts opinions. This paper presents methodology for obtaining an aggregated measure, in the form of arithmetic means, for quantitative decision making. The measure is obtained experimentally by combining statistical methodology - based on regression and factor analysis on one hand and operational research approaches - data envelopment analysis as an objective and analytical hierarchical process as subjective method. For practical demonstration of proposed method authors used data on the students' marks, from the official database at the Faculty of organizational sciences, University of Belgrade, to determine the weights of the first-year subjects in order to predict future students' success on each of the study programs, separately. PB - Editura Stiintifica Fmr, Bucharest T2 - Metalurgia International T1 - Aggregation statistics and the methods of operational research for weighting criteria in multiple criteria decision making EP - 119 SP - 111 VL - 18 UR - conv_1529 ER -
@article{ author = "Ranđelović, Dragan and Ranđelović, Milan and Savić, Gordana and Makajić-Nikolić, Dragana", year = "2013", abstract = "The problem of determining weights of criteria appears in many contexts in multiple criteria decision making. For solving this task it is necessary to determine individual influence of each considered criterion. Each criterion can be either quantitative - when each of attributes can take different values or qualitative - in which case only ranking of weights of criterias is possible. The weights for each criterion could be provided by experiments, tests or as experts opinions. This paper presents methodology for obtaining an aggregated measure, in the form of arithmetic means, for quantitative decision making. The measure is obtained experimentally by combining statistical methodology - based on regression and factor analysis on one hand and operational research approaches - data envelopment analysis as an objective and analytical hierarchical process as subjective method. For practical demonstration of proposed method authors used data on the students' marks, from the official database at the Faculty of organizational sciences, University of Belgrade, to determine the weights of the first-year subjects in order to predict future students' success on each of the study programs, separately.", publisher = "Editura Stiintifica Fmr, Bucharest", journal = "Metalurgia International", title = "Aggregation statistics and the methods of operational research for weighting criteria in multiple criteria decision making", pages = "119-111", volume = "18", url = "conv_1529" }
Ranđelović, D., Ranđelović, M., Savić, G.,& Makajić-Nikolić, D.. (2013). Aggregation statistics and the methods of operational research for weighting criteria in multiple criteria decision making. in Metalurgia International Editura Stiintifica Fmr, Bucharest., 18, 111-119. conv_1529
Ranđelović D, Ranđelović M, Savić G, Makajić-Nikolić D. Aggregation statistics and the methods of operational research for weighting criteria in multiple criteria decision making. in Metalurgia International. 2013;18:111-119. conv_1529 .
Ranđelović, Dragan, Ranđelović, Milan, Savić, Gordana, Makajić-Nikolić, Dragana, "Aggregation statistics and the methods of operational research for weighting criteria in multiple criteria decision making" in Metalurgia International, 18 (2013):111-119, conv_1529 .