An essay on rank preservation and reversal

Saaty, Thomas L.; Sagir, Mujgan

doi:10.1016/j.mcm.2008.08.001

Cited by 66 publications

(41 citation statements)

References 5 publications

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“…However, the assumption of transitivity cannot be taken for granted, as people often express non-transitive preferences when tasked with rating alternatives using an ordinal scale such as the Likert-based approach. Rank reversals are a serious concern because they can happen naturally and affect outcomes in both desirable and undesirable ways [30]. Therefore, considering the overall preferences is important when dealing with the question of rank.…”

Section: Discussionmentioning

confidence: 99%

“…This means that any preference aggregation process must at least weaken one of the axioms, which in turn affects the fairness of the aggregated ranking. On the other hand, in the words of Saaty and Sagir, ranking or ordering things according to preference is a purely human activity, while ranking in accordance to importance or likelihood is a more scientific and objective process; furthermore, there is no naturally predefined rank for the preference of alternatives, but it is people who stablish the criteria [30]. Moreover, previous studies suggest that people are not bothered about the consistency of their own judgements as much as they are worried about the non-dictatorial nature of the final decision [8,31,32]; even the transitivity axiom can be weakened in some cases without compromising the acceptability of the final aggregated ranking [8,23,27].…”

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confidence: 99%

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Pairwise Voting to Rank Touristic Destinations Based on Preference Valuation

et al. 2019

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This paper presents a novel approach for ranking tourist destinations based on the eigenvector method for pairwise voting (EMPV). The proposed approach relies solely on pairwise comparisons instead of direct-vote polling. The EMPV method was tested over a real-world case application to rank various tourist destinations in the Costa del Sol region, Spain, and its outcome was compared against a polling approach using a Likert-type scale. Results show that the EMPV and the Likert-based approach provided different rankings of preferred tourist destinations. Furthermore, both the EMPV and the Likert-based approaches shared the same preference patterns per ranking position, thus confirming that the reported predilection of the tourist is independent of the measurement approach. Finally, results show that the ranking produced by the EMPV methodology was highly related to the real number of visitors of the Costa del Sol tourist destinations, surpassing the Likert-based approach in both ordering and value similarities.

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Section: Discussionmentioning

confidence: 99%

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confidence: 99%

Pairwise Voting to Rank Touristic Destinations Based on Preference Valuation

et al. 2019

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“…In the process of obtaining rank order for judgment matrix, the issue of rank reversals or robustness of estimation has gained many researchers' attention [13,28,33,37,40,41], and even is regard as an important evaluation criteria to make a comparison between different methods. In what follows, we apply Eq.…”

Section: Discussion and Comparison With Other Similar Methodsmentioning

confidence: 99%

Group decision making based on multiplicative consistent reciprocal preference relations

Zhang

2016

Fuzzy Sets and Systems

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“…A tendency to obtain inconsistent judgments is one of the most frequently discussed disadvantages of the AHP (Alonso & Lamata 2006;Apostolou & Hassell, 1993;. Another major weakness is a rank reversal (Millet & Saaty, 2000;Saaty & Sagir, 2009;Schenkerman, 1994). However, the AHP has also many advantages, including the use of hierarchical structure to represent complex problems, combining tangible and intangible elements in one model, and the possibility of using the AHP with other multi-criteria decision support methods and tools, such as DEA (Lee et al, 2011), TOPSIS (Yu, Wang, & Gong, 2013), ELECTRE (Kaya & Kahraman, 2011), PROMETHE (Turcksin, Bernardini, & Macharis, 2011), and Delphi (Vidal, Marle, & Bocquet, 2011), to name but a few examples.…”

Section:  -Basic Information About the Ahp And Its Application In Dementioning

confidence: 99%

The AHP-Based Assessment of Public Services With Respect to Different Groups of Customers of Polish Local Government

Prusak¹,

Strojny²,

Stefanów³

et al. 2015

CBR

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The situation of the contemporary economic systems is based on their ability to ensure optimal response to the customer needs. There are several important groups of clients, who may determine development processes and who are recipients of public services. They include: residents, entrepreneurs, tourists, and State Treasury. Local governments are equipped with a range of legal instruments to provide public services addressed to the selected clients. The objective of this paper is to present the application of the AHP method to assess the significance of the selected categories of public services for different groups of clients in Poland. The results allow setting priorities for future policy and adjust the tasks to the specific expectations of each group of clients. The model of assessment of public services was built using the analytic hierarchy process (AHP). Since the 1970's, this multicriteria decision-support method has been used by researchers and practitioners in many areas of socioeconomic life. The case study presented in this paper involved 14 experts-public administration workers in one of the districts in Southern Poland. The survey consisted of two stages. First, they assessed-using the AHP-the influence of each group of customers on local development processes. The most important was "business" (priority 38.7%), followed by "tourists" (29.7%), "citizens" (26.1%), and "central administration" (5.5%). Second, they evaluated at the five-point Likert scale the influence of over 20 different public services with respect to different groups of clients. The results were aggregated using arithmetic mean and multiplied by the priorities of the clients. The synthesized final score indicated the most significant public activities overall, which were "roads" (4.16), "transport" (3.93), and "tourism" (3.84).

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An essay on rank preservation and reversal

Cited by 66 publications

References 5 publications

Pairwise Voting to Rank Touristic Destinations Based on Preference Valuation

Pairwise Voting to Rank Touristic Destinations Based on Preference Valuation

Group decision making based on multiplicative consistent reciprocal preference relations

The AHP-Based Assessment of Public Services With Respect to Different Groups of Customers of Polish Local Government

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