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.

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.

scholarly journals Penentuan Wali Kelas Yang Ideal Menggunakan Metode TOPSIS

2019 ◽  
Vol 5 (2) ◽  
pp. 85
Author(s):  
Nafis Sururi ◽  
Kusrini Kusrini ◽  
Sudarmawan Sudarmawan
Keyword(s):  
Decision Making ◽  
School Environment ◽  
Formal Education ◽  
Multiple Criteria Decision Making ◽  
Multiple Criteria ◽  
Ideal Solution ◽  
Topsis Method ◽  
Order Preference ◽  
The Ideal

Pendidikan merupakan salah satu hal yang penting dalam suatu negara. Pendidikan bisa didapatkan pendidikan formal, informal maupun nonformal. Contoh pendidikan formal adalah sekolah dan pergururan tinggi, di dalam sekolahan terdapat wali kelas yang bertanggung jawab terhadap peserta didik di satu kelas atau ruang belajar di lingkungan sekolah. Dalam menentukan wali kelas yang ideal kepala sekolah dapat melihat karakteristik dan kemampuan yang dimiliki guru secara objektif. Multiple Criteria Decision Making (MCDM) merupakan salah satu metode yang paling banyak digunakan dalam pengambilan keputusan. Salah satu metode MCDM adalah Technique for Order Preference by Similarity to Ideal Solution (TOPSIS). Penelitian ini menggunakan metode TOPSIS yang dapat menganalisis keputusan multi-kriteria dimana metode tersebut dapat memilih alternatif terbaik dengan jarak terdekat dari alternatif ideal. Hasil yang diperoleh dari penelitian ini adalah Penentuan wali kelas dilakukan dengan cara mencari nilai preferensi setiap guru yang paling besar dari 3 kelas yang digunakan. Perhitungan yang dilakukan menggunakan bobot berbeda pada setiap kelas agar mendapatkan nilai prefensi sebagai acuan penentuan wali kelas yang ideal.Kata Kunci—Wali kelas, Ideal, TOPSISEducation is one of the important things in a country. Education can be obtained from formal, informal or non-formal education. Examples of formal education are schools and high schools, in schools there is a homeroom teacher who is responsible for students in one class or study room in a school environment. In determining the ideal homeroom, the principal can see the characteristics and abilities of the teacher objectively. Multiple Criteria Decision Making (MCDM) is one of the most widely used methods in decision making. One of the MCDM methods is Technique for Order Preference by Similarity to Ideal Solution (TOPSIS). This study uses the TOPSIS method which can analyze multi-criteria decisions where the method can choose the best alternative with the closest distance from the ideal alternative. The results obtained from this study are Determination of the homeroom teacher is done by finding the preference value of each teacher, the largest of the 3 classes used. Calculations performed using different weights for each class in order to get the value of the prefix as a reference for determining the ideal homeroom teacher.Keywords—Homeroom teacher, Ideal, TOPSIS

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.

PERANCANGAN SPK KELAYAKAN PENERIMA KREDIT PADA DISKOPUKM PROVSU MENGGUNAKAN METODE TOPSIS

2019 ◽  
Vol 3 (1) ◽  
pp. 36-45
Author(s):  
Mhd Arief Ansyari ◽  
Mhd. Zulfansyuri Siambaton
Keyword(s):  
Decision Making ◽  
Optimal Solution ◽  
Point Of View ◽  
Ideal Solution ◽  
Shortest Distance ◽  
Geometric Point ◽  
Savings And Loan ◽  
Relative Proximity ◽  
Negative Ideal Solution ◽  
North Sumatra

The Happy Savings and Loan Cooperative is one of the non-bank financial institutions in the form of cooperatives that serve the needs of its members in lending services with collateral in the form of member deposits, land or building certificates, books for motorized or automobile owners (BPKB) with the aim of providing services and facilities for candidates creditors in the economy. needs Lending funds to prospective creditors must also with the approval of the head of the cooperative / cooperative council. The agreement generally requires considerations such as analyzing the ability to pay prospective creditors. Because each prospective creditor has different economic conditions, it must be observant in making decisions. In determining whether a loan recipient is appropriate or not, there must be an assessment of the criteria established as a reference for decision making. TOPSIS is one of the multi-criteria decision-making methods first introduced by Yoon and Hwang (1981). TOPSIS uses the principle that the chosen alternative must have the shortest distance from the positive ideal solution and the longest distance (the farthest) from the negative ideal solution from a geometric point of view using the Euclidean distance (distance between two points) to determine the relative proximity of an alternative to the optimal solution. Keywords: TOPSIS, Decision Support System, North Sumatra Cooperative

An Improved Fuzzy TOPSIS Method with a New Ranking Index

2021 ◽  
pp. 1-27
Author(s):  
S. A. Sadabadi ◽  
A. Hadi-Vencheh ◽  
A. Jamshidi ◽  
M. Jalali
Keyword(s):  
Real Life ◽  
Similarity Index ◽  
Multiple Criteria Decision Making ◽  
Fuzzy Topsis ◽  
Ideal Solution ◽  
Triangular Fuzzy Numbers ◽  
Linguistic Terms ◽  
Cost Criterion ◽  
Negative Ideal Solution ◽  
Ranking Index

Owing to vague concepts frequently represented in decision data, the crisp values are inadequate to model real-life situations. In this paper, the rating of each alternative and the weight of each criterion is described by linguistic terms which can be expressed in triangular fuzzy numbers. Next, we focus on fuzzy TOPSIS (FTOPSIS) method. We show that, however, the conventional FTOPSIS is interesting, but it suffers from some flaws. The shortcomings of classical FTOPSIS are shown and some solutions are given. Further, a new similarity index is proposed and then is illustrated using numerical examples. By treating the separations of an alternative from the fuzzy positive ideal solution (FPIS) and the fuzzy negative ideal solution (FNIS) as “cost” criterion and “benefit” criterion, respectively, we reduce the original fuzzy multiple criteria decision making (FMCDM) problem to a new one with two criteria. Illustrative examples are given to show the advantages of the proposed approach.

scholarly journals Penerapan Multiple Criteria Decision Making untuk Pemilihan Dosen Prestasi

Techno Com ◽  
2017 ◽  
Vol 17 (1) ◽  
pp. 48-60
Author(s):  
Tri Widayanti
Keyword(s):  
Decision Making ◽  
Analytical Hierarchy Process ◽  
Multiple Criteria Decision Making ◽  
Multiple Criteria ◽  
Ideal Solution ◽  
Hierarchy Process

Dengan adanya penyelenggaraan pemilihan dosen berprestasi di tingkat nasional, maka diharapkan setiap perguruan tinggi terdorong untuk memiliki sistem penghargaan yang terprogram bagi dosen yang memiliki prestasi tinggi dalam pelaksanaan tridarma perguruan tinggi. Dalam pemilihan dosen berprestasi tersebut sering muncul subyektifitas para pengambil keputusan.Tujuan dari penelitian ini adalah dengan penunjang keputusan, pengambilan keputusan akan lebih objektif dalam memilih dosen berprestasi. Penelitian Multiple Criteria Decision Making dilakukan dengan menggunakan 2 metode yaitu Analytical Hierarchy Process (AHP) dan Technique for Order by Similarity to Ideal Solution (TOPSIS). AHP digunakan untuk menentukan bobot kepentingan dari setiap kriteria dan sub kriteria penilaian dosen berprestasi, kemudian TOPSIS digunakan untuk memilih alternatif dosen berprestasi yang memerlukan pertimbangan. Hasil penelitian  menunjukkan bahwa AHP dan TOPSIS dapat digunakan sebagai pendukung pembuat keputusan yang multi kriteria dan memerlukan banyak pertimbangan dalam pemilihan dosen berprestasi di perguruan tinggi. Metode AHP dan TOPSIS dapat membedakan dengan jelas  berdasarkan nilai preferensi yang dihasilkan sehingga memberikan keputusan yang objektif.

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.

scholarly journals Comparison of VIKOR and TOPSIS Methods in Multiresponse Taguchi Optimization

2019 ◽  
Vol 2 (3) ◽  
pp. 106 ◽  
Author(s):  
I Ketut Putu Suniantara ◽  
I Gede Eka Wiantara Putra
Keyword(s):  
Taguchi Method ◽  
Ideal Solution ◽  
Process Variables ◽  
Topsis Method ◽  
Vikor Method ◽  
Taguchi Optimization ◽  
Shortest Distance ◽  
Significant Process ◽  
Topsis Approach ◽  
Negative Ideal Solution

Multirepon optimization in the Taguchi method can be done by using the VIKOR and TOPSIS approach, which are based on the concept that the best chosen alternative not only has the shortest distance from a positive ideal solution, but also has the longest distance from the negative ideal solution. The basic concept of these two methods is to determine the ranking of existing samples by looking at the results of the utility (S), regrets (R) and solution distances as the best alternatives for each sample. This study aims to obtain significant process variables on the brightness and soreness response variables in the envelope making process by using VIKOR and TOPSIS method approaches, and comparing the results of VIKOR and TOPSIS optimization. The results showed that the two methods produced process optimization in setting variables that were not the same. The VIKOR method produced a setting variable namely A3B2C1D1 while the TOPSIS method produced a setting variable A1B1C3D3. Looking at the value of the two methods, the VIKOR method produced a better estimated value of the brightness parameters and TOPSIS produced a better estimate value for the silence parameter.

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