Aggregation of criteria weights for multi-person decision making with equal or different credibility

Multi-criteria (MC) problems involve making decision over alternatives that are characterized by several criteria. These criteria represent basis of evaluation in MC evaluation models or goal aspiration in MC optimization models.In most of MC models, criteria weights must be predetermined before the problem can be solved. These weights are interpreted differently but mostly as relative importance of criteria.There are many weighting methods available, but are generally categorized as subjective or objective methods.The subjective methods involve evaluator(s) to evaluate the relative importance of the criteria.Even though multi-person may involve in evaluating the criteria, the final weights must be represented as only one set of weights.Many aggregation methods have been proposed to compose the evaluations. However, these evaluators may have different degree of credibility since they may come from different background or may have different degree of superiority.The aim of this paper is to propose a different concept of weights that would represent the degree of credibility of the evaluators. Furthermore, several aggregation approaches are suggested on how to include these ‘new’ weights in order to produce new criteria weights that also take the credibility of the evaluators into considerations.A numerical example is used to show how these weights of credibility can be used to solve a MC problem in particular to determine the criteria relative importance.This new concept of weight signifies a different insight to the domain of MC decision making (MCDM

On the Practical Consideration of Evaluators’ Credibility in Evaluating Relative Importance of Criteria for Some Real-Life Multicriteria Problems: An Overview

A multicriteria (MC) problem usually consists of a set of predetermined alternatives or subjects to be analyzed, which is prescribed under a finite number of criteria. MC problems are found in various applications to solve various area problems. There are three goals in solving the problems: ranking, sorting or grouping the alternatives according to their overall scores. Most of MC methods require the criteria weights to be combined mathematically with the quality of the criteria in finding the overall score of each alternative. This chapter provides an overview on the practical consideration of evaluators’ credibility or superiority in calculating the criteria weights and overall scores of the alternatives. In order to show how the degree of credibility of evaluators can be practically considered in solving a real problem, a numerical example of evaluation of students’ academic performance is available in the Appendix at the end of the chapter. The degree of credibility of teachers who participated in weighting the academic subjects was determined objectively, and the rank-based criteria weighting methods were used in the example. Inclusion of the degree of credibility of evaluators who participated in solving multicriteria problems would make the results more realistic and accurate

Efficiency and productivity change of selected online banks in Bangladesh: A non-parametric Malmquist approach

This study evaluated the technical efficiency change and productivity change of national commercial banks (NCBs) and private banks (PBs) by employing cost data envelopment analysis (DEA), profit DEA and Malmquist based DEA.The cost inefficiency and profit efficiency are observed slightly higher for PBs than NCBs.The average technical and allocative efficiency are found 75.4% and 35.9% respectively by cost DEA; while 74.0% and 31.8% for profit DEA.By profit DEA, on an average bank-wise and year-wise productivity change, efficiency change and technical efficiency change are found higher than cost DEA.The average cost and average profit efficiency is observed 28.7% and 24.2% respectively.Bank-wise average productivity change and technical efficiency change are decreased at 4.2% and 5.1% respectively whereas the efficiency change is increased at 0.9% in profit DEA. The bank-wise productivity change and technical efficiency change and efficiency change are recorded decreased at 8.4%, 6.2% and 1.8% respectively in cost DEA.It is expected that there exist a huge gap among NCBs in terms of cost efficiency, so NCBs should decrease cost after performing adequate inquiries so that these cost could be recovered

Residual control chart for monitoring pediatrics hospital admission performances

This paper aims to demonstrate the use of pre whitening (PW) technique to handle the presence of autocorrelation on the statistical control charts, for 3-year (2008-2010) daily pediatrics (less than 4 years old) hospital admission.The PW technique has been implemented as an alternative procedure to obtain residuals series which are statistically uncorrelated to each other.Results showed that there is a reduction in the number of out-of–control signals in residual series control chart as compared to the amount of the out-of–control signals on traditional statistical control chart before the use of PW technique.Thus, it is suggested that statistical control chart using residual series performs better when the original pediatric hospital admission series are auto-correlated. In addition, it can be concluded that the Phase II (monitoring period) performance process is likely to follow the similar pattern of the Phase I (baseline period) process except for only one day on the 13th October 2009 that exceeds the upper control limit.This means that the pediatrics hospital admission on that particular day has not improved and fundamentally changed from what are expected in stable process

A Comparison of Four Disease Mapping Techniques as Applied to TB Diseases in Malaysia

This paper discusses the results of relative risk estimation based on four different types of methods. The methods used in this study are Standard Morbidity Ratio (SMR), Poisson-gamma model, stochastic Susceptible-Infective- Recovered (SIR) model and new alternative method that we proposed, stochastic Susceptible-Latently infected-Infectious- Recovered (SLIR) model. All the results are comparing and presenting in the form of graphs, tables and maps. These relative risk estimations are applied to TB count data in Malaysia. The maps showed the high-low risk areas for TB occurrence and this can be useful to interest parties in terms of government policy and financial support

Penglibatan panel penilai dalam mengagregat nilai subjektif asas pangkat bagi menyelesaikan masalah berbilang kriteria

A multi-criteria problem is a problem consists of a group of units to be evaluated under some criteria.The final result aimed is a ranking of the anlyzed units based on their overall performance.One way to obtain the overall performance of each unit is by combining its performances and weights of criteria through various aggregation methods.This research focused on the application of three rank-based methods to evaluate the relative importance of criteria which involved one panel evaluators.Four aggregation approaches were proposed which were based on ordered weighted average method to achieve the final result.Every approach proposed was followed by a numerical example

Wajaran subjektif teraggregat kriteria dalam masalah multi-kriteria

Pengiraan wajaran kriteria merupakan satu perkara yang penting dalam menyelesaikan sesuatu masalah multi-kriteria.Ini disebabkan nilai wajaran yang berbeza akan memberi kesan kepada penyelesaian terakhir kepada masalah tersebut.Kaedah mendapatkan wajaran kriteria secara umumnya boleh dilaksanakan melalui dua pendekatan iaitu objektif dan subjektif.Pendekatan pertama tidak memerlukan penilai untuk menilai kepentingan kriteria tetapi pendekatan kedua adalah sebaliknya.Terdapat tiga hal utama yang perlu difikirkan jika satu panel penilai terlibat dalam membuat penilaian.Pertama, adakah kewibawaan penilai diambilkira,kedua,apakah jenis penilaian subjektif yang akan digunakan dan ketiga,bagaimanakah penilaian ini akan diaggregatkan supaya hanya terdapat satu nilai wajaran terakhir yang tunggal yang diperoleh bagi sesuatu kriterium.Kertas kerja ini akan menumpukan kepada perbahasan matematik tentang kaedah mendapatkan wajaran subjektif teraggregat jika satu panel penilai yang sama dan berbeza kewibawaan terlibat dalam membuat penilaian.Kaedah subjektif yang akan dimanfaatkan ialah tiga faedah penentuan wajaran kriteria berasaskan pangkat,manakala kaedah pengaggregatan yang digunakan ialah kaedah pemurataan berwajaran tertib (OWA).Memandangkan terdapat lebih daripada satu kaedah penentuan wajaran subjektif berasaskan pangkat yang dikaji,satu ujian simulasi telah dijalankan untuk membandingkan tahap ketekalan kaedah-kaedah tersebut apabila proses pengaggregatan tertentu dilaksanakan.Keputusan ujian simulasi menunjukkan ketiga-tiga kaedah adalah tekal dengan darjah yang berbeza

Pengaggregatan penilaian dalam masalah pembuatan keputusan berkumpulan

Pembuatan keputusan berkumpulan mempakan kaedah yang sering digunapakai dalam menyelesaikan masalah sebenar dalam lapangan. la memjuk kepada aktiviti penilaian yang melibatkan lebih daripada seorang penilai.Kertas kerja ini akan membincangkan teknik pengaggregatan penilaian yang boleh diterap menerusi kaedah pemurataan tertib berpemberat atau ringkasnya kaedah OWA (ordered weighred average). Disamping itu maksud tersirat di sebalik setiap cara pengaggregatan akan juga dihuraikan.Contoh berangka akan ditunjukkan dalam dua kajian kes iaitu pertama, dalam menentukan tahap kepentingan empat petunjuk infrastruktur serta capaian teknologi maklumat komunikasi, dan kedua, dalam penentuan kepentingan kemahiran kerjaraya di kalangan graduan