An Approach for Solving Fuzzy MADM Problems

Author(s):  
Chie-Bein Chen ◽  
Chiu-Chi Wei

An approach using defuzzifying methods is proposed for the fuzzy multiple attribute decision-making (MADM) problems. The computing effectiveness of the proposed defuzzifying methods combined with the simple additive weighting (SAW) method and the technique for order preference by similarity to ideal solution (TOPSIS) method are evaluated based on a comparison to the improved fuzzy weighted average (IFWA) followed by a ranking method. Both SAW and TOPSIS methods are two of classic MADM methods. The purpose of this application is to make the method easier to program and data easier to manipulate. This results in a more practical method for fuzzy decisions. A numerical example and experiment are discussed to demonstrate the implementation of the methods in different input conditions.

2012 ◽  
Vol 18 (2) ◽  
pp. 265-276 ◽  
Author(s):  
Ruta Simanaviciene ◽  
Rita Liaudanskiene ◽  
Leonas Ustinovichius

The paper provides a new synthesis method of multiple attribute decisions (SyMAD-3 – Synthesis of Multiple Attribute Decisions using three methods) intended for combining multi-stage and multiple attribute decisions into a single common estimate. The method is applied for selecting a construction project on the basis of its structural, technological and safety decisions. To increase the reliability of the decision, three multiple attribute decision-making methods based on quantitative measurements were applied to help the person making a decision to monitor the results of a relevant decision obtained employing three methods of the same class. The algorithm of the proposed method includes methods for identifying the integrated significances of attributes and multiple attribute decision-making methods (SAW – Simple Additive Weighting, TOPSIS – Technique for Order Preference by Similarity to Ideal Solution, and COPRAS – COmplex PRoportional ASsessment) based on quantitative measurements. Santrauka Šiame darbe autoriai pateikia naują daugiakriterinių sprendimų sintezės metodą (SyMAD-3 – Synthesis of Multiple Attribute Decisions using three methods), skirtą daugiapakopiams, daugiatiksliams sprendimams apjungti į vieną bendrą įvertį. Metodas taikomas statybos projektui parinkti atsižvelgiant į konstrukcinius, technologinius ir saugos sprendimus. Sprendimo patikimumui padidinti taikomi trys kiekybiniais matavimais pagrįsti daugiatiksliai sprendimo priėmimo metodai, kuriais remdamasis sprendimą priimantis asmuo gali stebėti jam aktualaus sprendimo rezultatus, gautus trimis metodais, priklausančiais tai pačiai klasei. Pateikto metodo algoritme taikomi efektyvumo rodiklių integruoto reikšmingumo nustatymo ir daugiatiksliai sprendimo priėmimo (SAW – Simple Additive Weighting, TOPSIS – Technique for Order Preference by Similarity to Ideal Solution, COPRAS – COmplex PRoportional ASsessment) metodai, pagrįsti kiekybiniais matavimais.


2014 ◽  
Vol 2014 ◽  
pp. 1-4 ◽  
Author(s):  
Ming Xue

We investigate the multiple attribute decision-making problems for evaluating the computer network security with intuitionistic trapezoidal fuzzy information. We utilize the intuitionistic trapezoidal fuzzy weighted average (ITFWA) operator to aggregate the intuitionistic trapezoidal fuzzy information corresponding to each alternative and get the overall value of the alternatives and then rank the alternatives and select the most desirable one(s) according to the distance between the overall value of the alternatives and ideal solution. Finally, an illustrative example for evaluating the computer network security is given.


2015 ◽  
Vol 7 (1) ◽  
pp. 33-42
Author(s):  
Abhijit Bijwe ◽  
C.G. Dethe

Abstract Vertical handover is the evolving concept in 4G for seamless communication between heterogeneous networks. In this paper, our main objective is to analyze handover between two WLAN, two Wimax, two UMTS networks. The vertical handover decision is taken based on the variance based algorithm, which calculates the variance of parameters such as delay, jitter, bandwidth and packet loss for various above mentioned networks and the network with most of the parameters with minimum variance is selected. This algorithm is also compared with other algorithms such as MEW (Multiplicative experiment weighting), SAW (Simple Additive Weighting), TOPOSIS (Technique for order preference by similarity to ideal solution) and GRA (Grey Relational Analysis). These algorithms are appropriate for different traffic classes. Simulation results for proposed variance based algorithm in Matlab is discussed and compared with other Multiple attribute decision making algorithm basis of bandwidth; jitter, delay etc. are discussed in the paper. It can be seen that the proposed variance algorithm gives less packet delay than all the algorithms, Jitter is also is least than all the other algorithms.


2020 ◽  
Vol 5 (2) ◽  
pp. 195
Author(s):  
Amalia Khansa ◽  
Fauziah Fauziah ◽  
Aris Gunaryati

Along with the rapid development of technology, many types of laptops and smartphones have sprung up. The many types on the market can make consumers confused in choosing products. The decision support system for choosing this personal device uses the Simple Additive Weighting (SAW) method and the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS). The basic concept of this method is to find the weighted sum of the performance ratings for each alternative for all attributes. In the results of manual and system calculations, the SAW and TOPSIS methods produce the same ranking. In the SAW method, the highest-ranking of laptops is obtained by Acer Swift 3 (SF314-56G) with a value of 0.977 and on smartphones, the highest score is obtained by the Samsung Galaxy M51 with a value of 1. In the TOPSIS method, the highest-ranking is obtained by a laptop with a value of 0.9507 and a smartphone with a value of 1.Keywords:Notebook; SAW; Decision Support System; Smartphone; TOPSIS.


2005 ◽  
Vol 11 (4) ◽  
pp. 242-247 ◽  
Author(s):  
Jurgita Antuchevičiene

The paper analyses the problem of multiple attribute decision‐making (MADM) under fuzzy environment. In some cases the crisp value is inadequate to model real‐life situations. For this reason some fuzzy MADM methods have been developed. The extended TOPSIS (Technique for the Order Preference by Similarity to Ideal Solution) to fuzzy environment is presented in the current paper. Weights and ratings of each criterion are described in triangular fuzzy numbers. The relative closeness to the ideal solution of each alternative is calculated applying different approaches that were presented in different scientific papers. A computational experiment is presented to compare the results of a multiple attribute analysis that uses three modifications of fuzzy TOPSIS method in a particular situation.


2013 ◽  
Vol 5 (2) ◽  
pp. 61-68
Author(s):  
Meri Azmi

Large number of franchises that will be selected as well as indicators of many criteria, it is necessary to build a decision support system that will help decide which franchise to choose. The model used in the decision support system is a Multiple Attribute Decision Making (MADM) and to perform calculations on the case MADM method in finding the best alternative based on the criteria specified use traditional methods TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) to perform the calculations. TOPSIS method is chosen as the method is based on the concept that the best alternative was chosen not only has the shortest distance from the positive ideal solution, but also has the longest distance from the negative ideal solution.


CAUCHY ◽  
2018 ◽  
Vol 5 (3) ◽  
pp. 117
Author(s):  
Kwardiniya Andawaningtyas ◽  
Endang Wahyu Handamari ◽  
Corina Karim

Decision analysis of Multiple Attribute Decision Making (MADM) model is used to assess the performance, not only in a rank but also in a plan of marketing strategy as an effort to increase consumers’ satisfaction by combining DEMATEL-based Analytical Network Process (DANP) method and the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) method. One of the industrial services in the education nowadays is the services of the Guidance Learning (LBB). This article has 3 alternatives to 6 criteria. The questionnaire was distributed to 80 LBB’ students and 55 LBB’ mentors. The result of the dominant criteria affecting customer satisfaction of LBB in Malang by DANP method is the mentor quality. Meanwhile, the TOPSIS result showed that the LBB of Avicenna Education Malang is the best alternative to the marketing strategy..


2015 ◽  
Vol 74 (1) ◽  
Author(s):  
Sharifah Nurulhikmah Syed Yasin ◽  
Wan Najmiyyah Wan Md. Adnan ◽  
Wan Najmiyyah Wan Md. Adnan

Choosing an appropriate bachelor program and university is a common scenario. In Malaysia, one major group of bachelor program prospect students is Sijil Tinggi Persekolahan Malaysia (STPM, Malaysian High School Certificate) leavers. The prospect students made the selection based on several factors, including the requirement by the university, personal preferences, and influences by parents, teachers, and peers. The decision made is normally unstructured and bias due to the personal preferences and the influencers. This research aims to study “Technique for Order Preference for Similarity to an Ideal Solution” (TOPSIS) from the multiple attribute decision making (MADM) method family in assisting the STPM leavers in choosing the program and university. Decision criteria are obtained from a group of STPM students (domain experts). The actual requirement from twenty Malaysian public universities and STPM results are used to illustrate the application of the proposed method. The illustrative experiments and results of the study have successfully shown the ranked alternatives.


2020 ◽  
Vol 5 (1) ◽  
pp. 18
Author(s):  
Irfan Mahendra ◽  
Adynoto Suprapto

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.


2021 ◽  
Author(s):  
Subrata Chakraborty

Selection of an appropriate Multiple Attribute Decision Making (MADM) method for providing a solution to a given MADM problem is always challenging endeavour. The challenge is even greater for situations where for a specific MADM problem there exist multiple MADM methods with similar degree of suitability. The Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) and its dominant variant the Modified TOPSIS methods are two very similar methods applicable to the same type of MADM problems. This study provides extensive simulation-based comparisons and mathematical analysis of these two popular methods in order to clarify the confusion regarding their selection for solving MADM problems.


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