scholarly journals Ingenious Solution for the Rank Reversal Problem of TOPSIS Method

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Wenguang Yang
Keyword(s):  
Theoretical Analysis ◽  
Evaluation Process ◽  
Simple Calculation ◽  
Global Perspective ◽  
Ideal Solution ◽  
Topsis Method ◽  
Reversal Problem ◽  
Rank Reversal ◽  
Negative Ideal Solution ◽  
Definition Of

Although the classic TOPSIS method is very practical, there may be a problem of rank reversal in the addition, deletion, or replacement of the candidate set, which makes its credibility greatly compromised. Based on the understanding of the classical TOPSIS method, this paper establishes a new improved TOPSIS method called NR-TOPSIS. Firstly, the historical maximum and minimum values of all attribute indicators from a global perspective during the evaluation process are determined. Secondly, according to whether the attributes belong to the benefit attribute or cost attribute, standardization is carried out. And then, in the case where the historical values of attributes are determined, we re-fix the positive ideal solution and the negative ideal solution. At the same time, this paper gives the definition of ranking stable and proves that the NR-TOPSIS proposed satisfies ranking stable, which theoretically guarantees that the rank reversal phenomenon does not exist. Finally, in the verification of examples, the results are consistent with the theoretical analysis, which further support the theoretical analysis. The NR-TOPSIS method overcomes rank reversal, which is not only obviously superior to the classical TOPSIS method but also relatively superior to the R-TOPSIS method which has also overcome rank reversal. It is also superior to other reference methods due to its simple calculation.

scholarly journals Sistem Pendukung Keputusan Untuk Menentukan Prestasi Akademik Siswa dengan Metode TOPSIS

2015 ◽  
Vol 2 (2) ◽  
pp. 153
Author(s):  
Amelia Nur Fitriana ◽  
Harliana Harliana ◽  
Handaru Handaru
Keyword(s):  
Academic Achievement ◽  
Decision Making ◽  
Student Learning ◽  
Ideal Solution ◽  
Topsis Method ◽  
Learning Outcomes Assessment ◽  
Average Value ◽  
Relative Preference ◽  
Utilization Data ◽  
Negative Ideal Solution

Pengambilan keputusan pada suatu lembaga/sekolah merupakan hal yang sangat penting. Kepala sekolah seharusnya mengambil sebuah keputusan berdasarkan perhitungan dan pemikiran jangka panjang agar keputusan menentukan prestasi akademik siswa yang akan diambil tidak salah. Di MA Darul Masholeh masih terdapat masalah dalam membuat laporan pembelajaran siswa, untuk menentukan siswa yang berprestasi hanya ditentukan menggunakan nilai rapot, belum adanya pemanfaatan secara optimal data laporan penilaian hasil belajar siswa, masih adanya kesulitan untuk mengetahui pencapaian dari kegiatan pembelajaran siswa. Dengan menggunakan metode TOPSIS dapat mempermudah guru untuk menentukan prestasi akademik siswasecara tepat dan cepat, dimana metode topsis adalah salah satu metode pengambilan keputusan dimana alternative yang terpilih merupakan alternatif terbaik yang mempunyai jarak terdekat dari solusi ideal positif dan terjauh dari solusi ideal negatif. Dari pengujian 20 alternative dengan 6 kriteria yaitu hafalan al-qur’an, nilai rata-rata rapot, absensi, nilai minimal, total nilai dan piagam prestasi. Dari 20 alternative di dapatkan siswa yang berprestasi yaitu diurutan pertama Wildan dengan nilai preferensi relative 0,66, Kedua Ratna (0,64), ketiga Sinta (0,55), keempat Rini (0,50), Kelima Faisal (0,38) dan terakhir Sadriyah dengan nilai preferensi relative (0,00).Decision-making in an institution/school is very important. School principals should take a decision based on the calculation and long-term thinking in order to decide on the academic achievement of students who will be taken not wrong. In MA Darul Masholeh there is still a problem in reporting student learning, to determine student achievement is only determined using rapot value, the lack of optimal utilization data reporting student learning outcomes assessment, there is still difficult to determine the achievement of student learning activities. By using TOPSIS method can simplify the teacher to determine academic achievement siswasecara precise and fast, which TOPSIS method is one method of decision-making in which the chosen alternative is the best alternative that has the shortest distance from the positive ideal solution and the farthest from the negative ideal solution. Of the 20 alternative testing with 6 criteria that memorizing the Qur'an, the average value rapot, absenteeism, minimum value, the total value and charter achievement. Of the 20 alternative in getting students who excel are listed first Wildfire with relative preference value of 0.66, the Second Ratna (0.64), third Sprott (0.55), fourth Rini (0.50), the Fifth Faisal (0.38) and the last Sadriyah with relative preference value (0.00).

scholarly journals Comparison of the Economic Performance of Turkish Republics in Central Asia with TOPSIS Method

2015 ◽  
Author(s):  
Ziya Gökalp Göktolga ◽  
Engin Karakış ◽  
Hakan Türkay
Keyword(s):  
Decision Making ◽  
Central Asia ◽  
Economic Performance ◽  
Multi Criteria Decision Making ◽  
Ideal Solution ◽  
Topsis Method ◽  
Economic Management ◽  
Macroeconomic Indicators ◽  
Order Preference ◽  
Negative Ideal Solution

The aim of this study is to compare the economic performance of Turkish Republics in Central Asia with Multi Criteria Decision Making (MCDM) methods. Turkish Republics have been experiencing a transition from a centrally planned economy towards a market economy since their independence. In this study important macroeconomic indicators are used to determine economic performance. Economic performance evaluation of the country is an important issue for economic management, investors, creditors and stock investors. Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method outranks the countries according to the proximity of the positive ideal solution and distance of the negative ideal solution. Economic Performance of Turkish Republics in Central Asia (Azerbaijan, Turkmenistan, Kazakhstan, Kyrgyzstan, and Uzbekistan) are compared with TOPSIS method. İnvestigated with TOPSIS method countries best and worst economic performance years are detected during mentioned period and results are analyzed.

scholarly journals Perbandingan Metode TOPSIS Dan SAW Dalam Penentuan Guru Berprestasi

2019 ◽  
Vol 5 (1) ◽  
pp. 29-34
Author(s):  
TITIN PRIHATIN
Keyword(s):  
Middle School ◽  
Point Of View ◽  
Weighted Sum ◽  
Ideal Solution ◽  
Topsis Method ◽  
Weighted Sum Method ◽  
Geometric Point ◽  
Negative Ideal Solution ◽  
Simple Additive Weighting

- Determination of outstanding teachers at Pondok Duta Islamic Middle School has been applied every year. This process is very important to improve the quality of human resources in the progress of Pondok Duta Islamic Middle School. In its implementation, the determination of teachers with pretensions is still considered subjective, because it is only based on personal opinions and is not based on certain criteria. The Simple Additive Weighting (SAW) method is often known as the weighted sum method. The basic concept of the method of Simple Additive Weighting (SAW) is to find a weighted sum of performance ratings on each alternative on all attributes. While the Technique for Order Performance of Similarity to Ideal Solution (TOPSIS) method uses the principle that the chosen alternative must have the longest (farthest) distance from the negative ideal solution from a geometric point of view using the relative proximity of an alternative. The two methods, namely the Technique for Order Performance of Similarity to Ideal Solution (TOPSIS) method and the Simple Additive Weighting (SAW) method can help in the process of determining the teacher to be prescribed who recommend results based on the main criteria that have been determined.

scholarly journals Analysis and Design of Decision Support System Systems in Choosing the Best Supplier Using the TOPSIS Method at PT. Bintang Putra Mandiri

Tech-E ◽  
2019 ◽  
Vol 3 (1) ◽  
pp. 1
Author(s):  
Kelvin Tri Tama ◽  
Andi Leo
Keyword(s):  
Decision Support ◽  
Decision Support System ◽  
Support System ◽  
Optimal Solution ◽  
Point Of View ◽  
Ideal Solution ◽  
Topsis Method ◽  
Analysis And Design ◽  
Geometric Point ◽  
Negative Ideal Solution

Analysis and design of a decision support system aims to deal with problems in selecting the best supplier which is a problem at PT. Independent male star. PT. Bintang Putra Mandiri is a company engaged in the subsidized housing contractor and developer. With the existing problems, we need a system that can help companies to help determine the best supplier. Then produced a system that can help companies by using the TOPSIS method. TOPSIS uses the principle that the chosen alternative must have the shortest distance from the positive ideal solution and the farthest distance from the negative ideal solution from a geometric point of view using the Euclidean distance to determine the relative proximity of an alternative to the optimal solution. As a result, PT. Bintang Putra Mandiri can determine the best supplier precisely. And the TOPSIS method is able to support supplier selection decisions by ranking

scholarly journals IMPLEMENTATION TECHNIQUE METHOD FOR ORDER PREFERENCE BY SIMILARITY TO IDEAL SOLUTION (TOPSIS) IN ASSESMENT OF DOG CHARACTERISTICS SYSTEM

2019 ◽  
Vol 2 (2) ◽  
pp. 171-180
Author(s):  
Christine ◽  
Halim Agung
Keyword(s):  
Assessment System ◽  
Ideal Solution ◽  
Topsis Method ◽  
Kennel Club ◽  
Order Preference ◽  
Filter Process ◽  
Negative Ideal Solution ◽  
Topsis Technique ◽  
Different Characteristics ◽  
Implementation Technique

Dogs are the most populated animals in 2016 according to a survey of pet populations by the UK's association of animal food makers (PFMA). With so many types of dogs and different characteristics, not all humans can choose the type of dog that suits their situation and condition. These non-conformities cause dogs to be dumped on the streets or abandoned without proper care. Therefore the dog characteristics assessment system is made which aims to facilitate the user in choosing the type of dog that is suitable for the user's situation and condition. This system is made using the TOPSIS method (Technique for Order Preference by Similarity to Ideal Solution). This system is based on the data of dogs registered with the AKC (American Kennel Club). This system uses eight criteria, three criteria for the filter process and five criteria for the weighting process. Of the five weighting criteria, there are three cost attributes and two benefit attributes. In the TOPSIS method (Technique for Order Preference by Similarity to Ideal Solution) uses the principle that the chosen alternative must have the closest distance from the positive ideal solution and the longest (farthest) distance from the negative ideal solution. The results obtained from this assessment system are by theory-based testing 50 times with a 78% suitability match percentage. The conclusion obtained from this research is the TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) method is quite efficient to be applied in a dog characteristic assessment system

Decision Support System for Home Selection in South Tangerang City Using TOPSIS Method

2020 ◽  
Vol 7 (2) ◽  
pp. 76-81
Author(s):  
Haris Widjaja ◽  
Ririn Ikana Desanti
Keyword(s):  
Decision Support ◽  
Support System ◽  
Calculation Result ◽  
Ideal Solution ◽  
Topsis Method ◽  
Land Area ◽  
Shortest Distance ◽  
Building Area ◽  
Negative Ideal Solution ◽  
Location Design

The desire to have a dream house makes people consider of the criteria of the house they will be lived. Many developers offer a variety of house alternatives ranging from price, location, design, building area and land area. Customers are pleased to choose their dream house as their desired. Based on that situation, this research is conduct to create a web-bases application for home selection that consider the useful criteria to help consumers choose a decent home by using the Technique for Order of Preference by Similarity To Ideal Solution (TOPSIS) method. The TOPSIS method has the concept that the best alternative has the shortest distance from a positive ideal solution and also has the farthest distance from a negative ideal solution. This TOPSIS method is applied to provide recommendations on the choice of home decisions in the South Tangerang area based on predetermined criteria. The results obtained in the TOPSIS calculation are the housing recommendations that are closest to the value of the calculation result.

A Method Based on SMAA-Topsis for Stochastic Multi-Criteria Decision Making and a Real-World Application

2014 ◽  
Vol 13 (05) ◽  
pp. 957-978 ◽  
Author(s):  
Deniz Okul ◽  
Cevriye Gencer ◽  
Emel Kizilkaya Aydogan
Keyword(s):  
Decision Making ◽  
Drug Benefit ◽  
Multi Criteria Decision Making ◽  
Ideal Solution ◽  
Topsis Method ◽  
Inaccurate Information ◽  
Real World Application ◽  
Shortest Distance ◽  
Order Preference ◽  
Negative Ideal Solution

Stochastic multi-criteria acceptability analysis (SMAA-2) and the technique for order preference by similarity to ideal solution (TOPSIS) are methods for evaluating alternatives with multiple criteria. SMAA is a method that is used for solving multi-criteria decision-making problems with uncertain, inaccurate information, and does not require preference information from the decision makers. The TOPSIS method is based on the principle of determining a solution with the shortest distance to the ideal solution and the greatest distance from the negative-ideal solution. This paper proposes a new method, SMAA-TOPSIS, by combining the SMAA and TOPSIS methods. The SMAA-TOPSIS method was executed for two problems: drug benefit-risk analysis and machine gun selection. This paper found that TOPSIS could be used with uncertain and arbitrarily distributed values for weights and criteria measurements by using a combination of SMAA and TOPSIS. Also, we obtained clearer and consistent SMAA outputs.

EVALUATING CONSTRUCTION PROJECT SUCCESS WITH USE OF THE M-TOPSIS METHOD

2013 ◽  
Vol 19 (1) ◽  
pp. 16-23 ◽  
Author(s):  
Urban Pinter ◽  
Igor Pšunder
Keyword(s):  
Evaluation Method ◽  
Project Success ◽  
Construction Project ◽  
Ideal Solution ◽  
Topsis Method ◽  
New Approach ◽  
Decision Method ◽  
Evaluation Problem ◽  
Success Evaluation ◽  
Negative Ideal Solution

A problematic of construction project success evaluation is discussed in this paper. It is established that the success of a construction project depends on success in achieving goals in different success criteria which may or may not be co-dependent; hence, the calculation of construction project success is a multi-dimensional evaluation problem. Therefore, it is necessary to discuss the overall success of a construction project as a multi-criterion problem that can be solved using a multi-criteria decision method. A new approach to overall construction project success calculation is presented, based on the multi-criteria decision method M-TOPSIS. M-TOPSIS ranks results from ideal solution to negative ideal solution which suitable fits with a presented new approach to generalized project success evaluation method. For an ideal solution, the best values from all considered projects, including pre-production plan parameters, are used, and for negative ideal solution, minimal parameters for each criterion are defined. Because, in civil engineering, projects can be done even better than planned, results from M-TOPSIS are then transposed, so that results are presented on a scale from minimal solution (0) to planned solution (1) and above. Several project successes can be compared with each other and ranked according to their performance with this method. Since results from this method are very sensitive to incorrectly input data, the basic M-TOPSIS method theory is closely, presented and a simple practical example for using the suggested method is also shown.

A New Index for TOPSIS based on Relative Distance to Best and Worst Points

2020 ◽  
Vol 19 (03) ◽  
pp. 695-719
Author(s):  
S. A. Sadabadi ◽  
A. Hadi-Vencheh ◽  
A. Jamshidi ◽  
M. Jalali
Keyword(s):  
Decision Making ◽  
Similarity Index ◽  
Multiple Criteria Decision Making ◽  
Multiple Criteria ◽  
Relative Distance ◽  
Ideal Solution ◽  
Topsis Method ◽  
Numerical Examples ◽  
Shortest Distance ◽  
Negative Ideal Solution

The technique for order performance by similarity to ideal solution (TOPSIS) is one of the most well-known methods in multiple criteria decision making (MCDM) problems. The classical TOPSIS method employs a similarity index to rank alternatives. However, the chosen alternative sometimes does not have the shortest distance to the positive ideal solution (PIS) and remotest distance from the negative ideal solution (NIS), simultaneously. Besides, in some cases, TOPSIS cannot assign a unique rank to alternatives. The purpose of this paper is to propose a new similarity TOPSIS index based on the relative distance to the best and worst points. In the proposed method, by treating the separations of an alternative from the PIS and the NIS as negative criterion and positive criterion, respectively, we reduce the original MCDM problem to a new one with two criteria. The proposed index, based on different weights, in optimistic, pessimistic, and apathetic cases, easily determines the score of each alternative. Finally, we illustrate the proposed index using four numerical examples. The results are compared with those published in the literature.

scholarly journals Multiple-Criteria Decision Analysis Using TOPSIS: Sustainable Approach to Technical and Economic Evaluation of Rocks for Lining Canals

2021 ◽  
Vol 11 (20) ◽  
pp. 9692
Author(s):  
Mahrous A. M. Ali ◽  
Jong-Gwan Kim ◽  
Zakaria H. Awadallah ◽  
Ahmed M. Abdo ◽  
Abbas M. Hassan
Keyword(s):  
Building Materials ◽  
Experimental Testing ◽  
Construction Materials ◽  
Decision Makers ◽  
Ideal Solution ◽  
Topsis Method ◽  
Geometric Distance ◽  
Rock Types ◽  
Mechanical And Physical Properties ◽  
Negative Ideal Solution

One of the crucial projects underway in Egypt is the lining of watercourses to withstand the outflow of water through their beds and flanks. Various materials have been used in this project, including limestone, sandstone, basalt, and dolomite, along with other building materials. This study focused on the evaluation of rock characteristics to determine their suitability for the construction of a canal lining. All rock characteristics should be classified in terms of technical and economic concerns related to mining rock specifications, such as mechanical and physical properties, and evaluated according to their weights and ratings. As a rule of decision making, management stakeholders select the rock types. The primary purpose of canal linings is to reduce water loss due to seepage. Methodologically, we adopted the technique for order of preference by similarity to ideal solution (TOPSIS), and derived an improved TOPSIS method based on experimental testing. This study attempted the first application of TOPSIS to canal linings and relevant construction materials. The analysis shows that limestone L1 is the best rock-building material for canal linings in Upper Egypt. Limestone L1 has the shortest geometric distance from the positive ideal solution and the longest geometric distance from the negative ideal solution. The results provide decision makers with strategic indicators to select among different rock types based on the total points assigned to all rock specifications.

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