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Incomplete Pairwise Comparison Matrix and Its Application to Ranking of Alternatives

100%
Ramik J.
Multiple Criteria Decision Making
|
2013
|
vol. 8
114-128
EN
A fuzzy preference matrix is the result of pairwise comparison - a powerful method in multi-criteria optimization. When comparing two elements, the decision maker assigns a value between 0 and 1 to any pair of alternatives representing the element of the fuzzy preference matrix. Here, we investigate relations between transitivity and consistency of fuzzy preference matrices and multiplicative preference ones. The results obtained are applied to decision situations where some elements of the fuzzy preference matrix are missing. We propose a new method for completing the fuzzy preference matrix with missing elements called the extension of the fuzzy preference matrix and investigate an important particular case of the fuzzy preference matrix with missing elements. Next, using the eigenvector of the transformed matrix we obtain the corresponding priority vector. Illustrative numerical examples are supplied.
2
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Incomplete Preference Matrix on Alo-Group and Its Application to Ranking of Alternatives

75%
Ramik J.
Multiple Criteria Decision Making
|
2015
|
vol. 10
124-140
EN
Pairwise comparison is a powerful method in multi-criteria optimiza- tion. When comparing two elements, the decision maker assigns a value from the given scale which is an Abelian linearly ordered group (Alo- group) of the real line to any pair of alternatives representing an element of the preference matrix (P-matrix). Both non-fuzzy and fuzzy mul- tiplicative and additive preference matrices are generalized. Then we focus on situations where some elements of the P-matrix are missing. We propose a general method for completing fuzzy matrix with missing elements, called the extension of the P-matrix, and investigate some im- portant particular cases of fuzzy preference matrix with missing elements. Eight illustrative numerical examples are included.
3
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Bordered matrices and some their applications

63%
Kolupa M., Śleszyński Z.
Central European Review of Economics & Finance
|
2011
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issue Vol. 1, No 1
44-50
EN
In this paper bordered matrices and some their applications are presented. In particular we give information how can be found matrix F = AB-1C without calculation the inverse of matrix B (when B = I this way we obtain Cauchy's product of matrices A and C). We present how to find generalized inverse of the Moore'a-Penrose'a type too and finally calculate value of determinant of given matrix A of order nxn.(original abstract)
4
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Some remarks on coincidence of an econometric model

63%
Kolupa M., Śleszyński Z.
Central European Review of Economics & Finance
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2011
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issue Vol. 1, No 1
39-43
EN
In this paper concept of coincidence of variable and methods for checking coincidence of model and variables are presented. Particularly Hellwig's hypothesis and methods for constructing model with difference compensators are described. It makes possible keeping non coincidentional variables in model.(original abstract)
5
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Using multi-objective affinity model for mining the rules of revisits within 72 hours for emergency department patients

63%
Chao-Wen C., Yuh-Wen C., Moussa L., Tzung-Hung L.
Multiple Criteria Decision Making
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2015
|
vol. 10
5-31
EN
When patients return to the emergency department (ED) within 72 hours after their previous ED discharge, it is generally assumed that their initial evaluation or treatment had been somehow inadequate. Mining data related to unplanned ED revisits is one method to determine whether this problem can be overcome, and to generate useful guidelines in this regard. In this study, we use the receiver operating characteristic (ROC) curve to compare the data mining model by affinity set to other well known approaches. Some scholars have validated the affinity model for its simplicity and power in handling information systems especially when showing binary consequences. In experimental results, SVM showed the best performance, with the affinity model following only slightly behind. This study demonstrated that when patients visit the ED with normotensive status or smooth breath patterns, or when the physician-patient ratio is moderate, the frequency with which patients revisit the ED is significantly higher.
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