The Technique for Order of Preference by Similarity to Ideal Solution Method in Fuzzy Environment

2020 ◽  
pp. 139-168
Author(s):  
Merve Cengiz Toklu
Keyword(s):  
Decision Making ◽  
Evaluation Criteria ◽  
Fuzzy Topsis ◽  
Decision Makers ◽  
Decision Making Process ◽  
Multi Criteria Decision Making ◽  
Ideal Solution ◽  
Topsis Method ◽  
Order Preference ◽  
Fuzzy Logic Approach

Decision-making process is the selection of the most appropriate one among the alternatives. Different selection criteria are considered in the decision-making process. Simultaneous assessment of different evaluation criteria may not always be possible. Multi-criteria decision-making techniques provide an easily applicable mathematical solution in this respect. Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method is one of the multi-criteria decision-making techniques. This method is used in many problems in literature and allows multiple decision makers to choose the most suitable alternative by evaluating them together with different criteria. Assessments of decision makers may include linguistic statements. In this case, the Fuzzy Logic approach can be used. In this chapter, Fuzzy TOPSIS method is explained with a detailed numerical example.

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.

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 A Fuzzy TOPSIS with Z-Number and Alpha-Cut in Identifying the Key Factor of Smoking Behaviours in Jordan

2019 ◽  
Vol 8 (2S3) ◽  
pp. 307-313
Keyword(s):  
Decision Making ◽  
Fuzzy Topsis ◽  
Smoking Behaviour ◽  
Decision Makers ◽  
Additional Restriction ◽  
Multi Criteria Decision Making ◽  
Key Factor ◽  
Order Preference ◽  
Health Organization ◽  
Smoking Behaviours

The most famous method when dealing with decision making is Multi-Criteria Decision Making (MCDM). One of the easiest technique from MCDM is Fuzzy Technique for Order Preference by Similarity to Ideal Solution (FTOPSIS). However, there are some circumstances in FTOPSIS still needs to be enhanced. Therefore, this paper concentrates on: 1) to develop FTOPSIS with Z-number and α -cut based MCDM problem; the combination of Z-Number and α-cut is seen suitable to solve uncertainty issue due to the additional restriction and reliability parts; 2) to validate the propose method for solving smoking problems in Jordan; three decision makers which are parent, student and health organization are requested to answer all the questionnaires based on smoking behaviour problems. The study presents six steps of FTOPSIS with Z-numbers and αcut to verify the position of the smoking behaviour; 3) to evaluate the efficiency of the proposed method using 10 different number of α-cut. Ten different numbers are 0.1 till 0.9. Results illustrate that many Jordanian smoke because they want to lose their weight. From the study, this proposed method opens a new revolution in MCDM area to provide different ways when dealing with decision making problems. Thus, give us variety of techniques in decision making area.

scholarly journals Decision Support System to Determine Qualified Corn using TOPSIS Method

2019 ◽  
Vol 9 (1S3) ◽  
pp. 523-532
Keyword(s):  
Decision Making ◽  
Multi Criteria Decision Making ◽  
Mathematical Form ◽  
Ideal Solution ◽  
Staple Food ◽  
Topsis Method ◽  
Food Ingredient ◽  
Hybrid Corn ◽  
Order Preference ◽  
Corn Plants

Corn is a staple food ingredient, one of the areas where people consume corn instead of rice is Southeast Sulawesi. Qualified corn is one of the superior seeds, while some types of superior corn are hybrid corn and composite corn. The TOPSIS method is one of the multi criteria decision-making methods with simple concepts and efficient competition and has the ability to measure relative performance and alternative decisions in mathematical form. To make it easier to find qualified corn, the Technique for Order preference method is used. Similarity to Ideal Solution. This is facilitating corn farmers to choose good and productive corn crop quality, applying the TOPSIS method (Technique for Order Preference by Similarity to Ideal Solution) in determining quality, to help provide alternatives in m determine qualified corn plants. Based on the results of research conducted on 10 qualified corn alternatives that had been tested, a result is obtained: V1 = 0.577350 V2 = 0.474992 V3 = 0.510529 V4 = 0.463630 V5 = 0.609622 V6 = 0.435983 V7 = 0.533048 V8 = 0.373977 V9 = 0.530333 V10 = 0.448275 From the results it can be concluded that V5 = 0.609622 had fulfilled the requirements and can be said to be good qualified corn.

New type of cancer patients based on triangular cubic hesitant fuzzy TOPSIS method

2019 ◽  
Vol 13 (01) ◽  
pp. 2050002
Author(s):  
Aliya Fahmi ◽  
Muhammad Aslam ◽  
Fuad Ali Ahmed Almahdi ◽  
Fazli Amin
Keyword(s):  
Decision Making ◽  
Fuzzy Number ◽  
Hamming Distance ◽  
Fuzzy Topsis ◽  
Multi Criteria Decision Making ◽  
Ideal Solution ◽  
Topsis Method ◽  
Operational Laws ◽  
New Type ◽  
Mcdm Method

In this paper, we define the new idea of triangular cubic hesitant fuzzy number (TCHFN). We discuss some basic operational laws of triangular cubic hesitant fuzzy number and hamming distance of TCHFNs. We introduce the new concept of triangular cubic hesitant TOPSIS method. Furthermore, we extend the classical cubic hesitant the technique for order of preference by similarity to ideal solution (TOPSIS) method to solve the Multi-Criteria decision-making (MCDM) method based on triangular cubic hesitant TOPSIS method. The new ranking method for TCHFNs is used to rank the alternatives. Finally, an illustrative example is given to verify and demonstrate the practicality and effectiveness of the proposed method.

scholarly journals Penerapan Metode TOPSIS & SAW Dalam Pemilihan Destinasi Wisata Di Jawa Timur

2020 ◽  
Vol 5 (1) ◽  
pp. 18
Author(s):  
Irfan Mahendra ◽  
Adynoto Suprapto
Keyword(s):  
Decision Making ◽  
Decision Making Process ◽  
Ideal Solution ◽  
Topsis Method ◽  
Tourist Destinations ◽  
Making Choices ◽  
Order Preference ◽  
Calculation Results ◽  
Simple Additive Weighting ◽  
Selection Of

This research was conducted to test the application of the Technique Order Preference by Similarity to Ideal Solution (TOPSIS) method and the Simple Additive Weighting (SAW) method in the decision-making process of choosing tourist destinations in East Java. This research is motivated by the problems faced by the Jakarta Backpacker Community who often have difficulty in making choices about tourist destinations to be visited in East Java. The criteria used in this study are cost, destination, meeting point, trip length and facilities obtained. The results of this study indicate that The TOPSIS method and the SAW Method can be used for the decision-making process in the selection of tourist destinations in East Java, with the results of Explore Baluran and Menjangan being the most recommended choices as the primary choice. Besides, it is also known that there is a match between the TOPSIS and SAW methods, with the calculation results using the TOPSIS method that is 0.64 and the calculation using the SAW method is 0.86 as the highest calculated value. So as such, these two methods can be stated equally well used in the process of determining tourist destinations in East Java. However, this applies only to the highest value, because for the order of two and so on, the results of calculations on these two methods show differences in rank.

scholarly journals APPLICATION OF TOPSIS METHOD WITH TRAPEZOIDAL FUZZY NUMBERS

2021 ◽  
Author(s):  
Salimov Vagif Hasan Oglu
Keyword(s):  
Decision Making ◽  
Test Problem ◽  
Fuzzy Numbers ◽  
Fuzzy Topsis ◽  
Practical Implementation ◽  
Multi Criteria Decision Making ◽  
Ideal Solution ◽  
Topsis Method ◽  
Solution Approach ◽  
Application Problem

The article is devoted to the problem of multi-criteria decision making. As application problem is used the equipment selection problem. The analysis of existing methods for solving this problem is given. As a method for solving this problem fuzzy TOPSIS (The Technique for Order of Preference by Similarity to Ideal Solution) is proposed. This method is based on ideal solution approach. The issues of practical implementation of this method are discussed in details. The results of the solution test problem at all stages are presented.

scholarly journals Evaluating Olympic Pictograms Using Fuzzy TOPSIS – Focus on Judo, Taekwondo, Boxing, and Wrestling

2021 ◽  
Author(s):  
Choi kyoungho ◽  
Kim Bongseok ◽  
Jinhee Choi
Keyword(s):  
Decision Making ◽  
Sensitivity Analysis ◽  
Fuzzy Topsis ◽  
Multi Criteria Decision Making ◽  
Ideal Solution ◽  
Topsis Method ◽  
Weight Changes ◽  
Beijing Olympics ◽  
Priority Ranking ◽  
The Ideal

This study evaluated the ranking of comprehensibility of the pictograms for judo, taekwondo, boxing, and wrestling used in the six games from the 27th Sydney Olympics in 2000 to the 32nd Tokyo Olympics in 2021. The evaluation was done using the Fuzzy TOPSIS method, one of the multi-criteria decision-making methodologies commonly used in economics and others fields. The results are as follows. The first, pictograms from the 2008 Beijing Olympics ranked first in three sports: taekwondo, boxing, and wrestling, but there were no pictograms that consistently ranked first or sixth in all sports. Second, the result of the sensitivity analysis shows a possibility that the ranking will be reversed if the weight of the evaluation factors changes, but in the 1000-time repetitive prediction, the better the evaluation ranking, the closer the value of the priority ranking to the ideal solution on average even if the weight changes.

Applying the Multi-Criteria Decision Making Model for Ranking Commercial Banks: The Case of Vietnam

2019 ◽  
pp. 125-133
Author(s):  
Duong Truong Thi Thuy ◽  
Anh Pham Thi Hoang
Keyword(s):  
Decision Making ◽  
Commercial Banks ◽  
Decision Model ◽  
Business Models ◽  
Multi Criteria Decision Making ◽  
Ideal Solution ◽  
Topsis Method ◽  
Decision Making Model

Banking has always played an important role in the economy because of its effects on individuals as well as on the economy. In the process of renovation and modernization of the country, the system of commercial banks has changed dramatically. Business models and services have become more diversified. Therefore, the performance of commercial banks is always attracting the attention of managers, supervisors, banks and customers. Bank ranking can be viewed as a multi-criteria decision model. This article uses the technique for order of preference by similarity to ideal solution (TOPSIS) method to rank some commercial banks in Vietnam.

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