Compatibility Indices Between Priority Vectors

Garuti, Claudio; Salomon, Valério Antônio Pamplona

doi:10.13033/ijahp.v4i2.130

Cited by 25 publications

(28 citation statements)

References 5 publications

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“…During the group's decision making, the issue was raised as to how close one priority vector is to another priority vector, or how compatible are they. Two measures of compatibility between the priority vectors can be found in the literature: the Saaty compatibility index (SI) that uses the concept of the Hadamard product, the element-wise product of two matrices (Saaty, 2009), and the Garuti compatibility index based on a physical interpretation of the inner product of two vectors (Garuti, 2012;Garuti and Salomon, 2012). Note: AM, arithmetic mean; GM, geometric mean.…”

Section: Resultsmentioning

confidence: 99%

The missing component in rail charging modeling—access charges principle selection

Bugarinovic̀

Dimitrijević

Bošković³

2014

Int Trans Operational Res

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The motive of this research is the fact that until now no universal model of access charges (AC) has been defined. In the process of modeling, the AC principle is one of the key elements for defining the AC. In this paper, a model for the AC principle selection based on the analytic network process (ANP) approach is proposed. The developed model presents the objectives of the identified stakeholders through the established criteria from three different perspectives: the government influence, railway market environment, and efficiency of network use. Based on the results of a research, network structure of the ANP method can successfully resolve the dependence and conflicts among evaluation criteria for the AC principle selection. The proposed ANP‐based model can become a tool for evaluation and ranking of the AC principle as shown in the case study of the Serbian Railways. This paper is based on real data.

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Section: Resultsmentioning

confidence: 99%

The missing component in rail charging modeling—access charges principle selection

Bugarinovic̀

Dimitrijević

Bošković³

2014

Int Trans Operational Res

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“…The indices S and V are obtained with Equation 1, where n is the number of elements of the x and y vectors, e is a column-matrix with all ei = 1, aij = xi/xj, bij = yi/yj (i, j = 1, 2,.. n), and ⦁ is the Hadamard Product operator ( Saaty, 2001). S = (1/n 2 )e T A⦁B T e (1) Index G, for vectors x and y, is obtained with Equation 2 (Garuti & Salomon, 2012).…”

Section: Research Design/methodologymentioning

confidence: 99%

“…In the same sense, Salomon (2010) has proposed the index V, which uses index S formula, however with ordinal vectors, and had proposed to use indices S and V together. On the other hand, it has also been observed a tendency to reduction of value of the index G when the vectors have high n (Garuti & Salomon, 2012).…”

Section: Literature Reviewmentioning

confidence: 99%

Performance of Compatibility Indices for High N Vectors

Guimarães¹,

Salomon²

2016

Proceedings of the International Symposium on the Analytic Hierarchy Process

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Compatibility indices measure the closeness level between priority vectors. This paper presents a performance assessment of three indices (Saaty's S and Garuti's G, and Salomon's V indices) for high n vectors. It found a better performance of indices S and V in relation to index G. It also reinforces assumptions of earlier studies about sensitivity of index G to high n; and that due index V to use ordinal vectors is less sensitive than S.

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“…This AHP method helps solve complex problems by structuring a hierarchy of criteria, stakeholders of results, and by drawing various considerations to develop weight or priorities [8]. This method also combines the strengths of the feelings and logic concerned on various issues, and then synthesizes various considerations into the results that match our estimates intuitively as presented in the consideration already made [8][9].…”

Section: Literature Reviewmentioning

confidence: 99%

A Study of using AHP Method to Evaluate the Criteria and Attribute of Defects in Heritage Building

2018

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This paper examines the criteria and attributes for assessing defects in a heritage building. The goal of this paper is to solve element type for building defects by using the Analytic Hierarchy Process (AHP). A survey questionnaire was develop based on the identified criteria and attributes of defect for a heritage building in Malaysia. The survey questionnaire was administered to consultants, academics, and contractors. A total of 20 expert panels was selected to determine the element of the defect in building performance. The sensitivity analysis of alternative ratings in respect to difference pairwise comparisons of the criteria and attribute was carried out. By changing one element in the pairwise comparison matrix, the process of defect element is monitored thus enabling possible improvements. An overall ranking of the Hierarchy priorities of criteria and attribute was a result of the AHP analysis. The result of the research is weightage for each criterion and its respective attributes. The criteria and attributes will be used as elements to develop a strategic heritage building performance procedure in Malaysia.

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Compatibility Indices Between Priority Vectors

Cited by 25 publications

References 5 publications

The missing component in rail charging modeling—access charges principle selection

The missing component in rail charging modeling—access charges principle selection

Performance of Compatibility Indices for High N Vectors

A Study of using AHP Method to Evaluate the Criteria and Attribute of Defects in Heritage Building

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