Comparison of Normalization Techniques on Data Sets with Outliers

2022 ◽  
Vol 14 (1) ◽  
pp. 0-0
Keyword(s):  
Decision Making ◽  
Input Data ◽  
Decision Problems ◽  
Data Sets ◽  
Multi Criteria Decision Making ◽  
Assessment Framework ◽  
Ranking Of Alternatives ◽  
Complex Decision ◽  
Vector Sum ◽  
Ongoing Evaluation

With the fast growing of data-rich systems, dealing with complex decision problems with skewed input data sets and respective outliers is unavoidable. Generally, data skewness refers to a non-uniform distribution in a dataset, i.e. a dataset which contains asymmetries and/or outliers. Normalization is the first step of most multi-criteria decision making (MCDM) problems to obtain dimensionless data, from heterogeneous input data sets, that enable aggregation of criteria and thereby ranking of alternatives. Therefore, when in presence of outliers in criteria datasets, finding a suitable normalization technique is of utmost importance. As such, in this work, we compare seven normalization techniques (Max, Max-Min, Vector, Sum, Logarithmic, Target-based, and Fuzzification) on criteria datasets, which contain outliers to analyse their results for MCDM problems. A numerical example illustrates the behaviour of the chosen normalization techniques and an (ongoing) evaluation assessment framework is used to recommend the best normalization technique for this type of criteria.

scholarly journals Coupling Fuzzy Multi-Criteria Decision-Making and Clustering Algorithm for MSW Landfill Site Selection (Case Study: Lanzhou, China)

2021 ◽  
Vol 10 (6) ◽  
pp. 403
Author(s):  
Jiamin Liu ◽  
Yueshi Li ◽  
Bin Xiao ◽  
Jizong Jiao
Keyword(s):  
Decision Making ◽  
Clustering Algorithm ◽  
Fuzzy Membership Function ◽  
Multi Criteria Decision Making ◽  
Landfill Site Selection ◽  
Spatial Distribution Characteristics ◽  
Criteria Weights ◽  
Spatial Decision Making ◽  
Complex Decision

The siting of Municipal Solid Waste (MSW) landfills is a complex decision process. Existing siting methods utilize expert scores to determine criteria weights, however, they ignore the uncertainty of data and criterion weights and the efficacy of results. In this study, a coupled fuzzy Multi-Criteria Decision-Making (MCDM) approach was employed to site landfills in Lanzhou, a semi-arid valley basin city in China, to enhance the spatial decision-making process. Primarily, 21 criteria were identified in five groups through the Delphi method at 30 m resolution, then criteria weights were obtained by DEMATEL and ANP, and the optimal fuzzy membership function was determined for each evaluation criterion. Combined with GIS spatial analysis and the clustering algorithm, candidate sites that satisfied the landfill conditions were identified, and the spatial distribution characteristics were analyzed. These sites were subsequently ranked utilizing the MOORA, WASPAS, COPRAS, and TOPSIS methods to verify the reliability of the results by conducting sensitivity analysis. This study is different from the previous research that applied the MCDM approach in that fuzzy MCDM for weighting criteria is more reliable compared to the other common methods.

Rank Reversal and the VIKOR Method: An Empirical Evaluation

2018 ◽  
Vol 17 (02) ◽  
pp. 513-525 ◽  
Author(s):  
Blanca Ceballos ◽  
David A. Pelta ◽  
María T. Lamata
Keyword(s):  
Decision Making ◽  
Empirical Evaluation ◽  
Decision Problems ◽  
Multi Criteria Decision Making ◽  
Common Phenomenon ◽  
Vikor Method ◽  
Rank Reversal

Rank reversal is a common phenomenon in multi-criteria decision-making methods. It appears when the addition/deletion of new options to the alternatives’ set produces a change in the original ranking. In this contribution, we want to assess this phenomenon in the context of the VIKOR method. Using randomly generated multi-criteria decision problems, we confirmed that rank reversal existed and strongly depended on VIKOR’s parameter. Also, we observed that the influence of the number of alternatives was stronger than that of the number of criteria. Finally, although rank reversal may exist, we saw that it may not affect the top alternative of the ranking, thus potentially having a low impact.

Preparation of Sub-Criteria for Mathematical Modeling of Multi-Criteria Decision Making

2014 ◽  
Vol 1020 ◽  
pp. 765-768
Author(s):  
Eva Berankova ◽  
František Kuda ◽  
Stanislav Endel
Keyword(s):  
Decision Making ◽  
Public Service ◽  
Input Data ◽  
Decision Making Process ◽  
Multi Criteria Decision Making ◽  
Individual Selection ◽  
Qualitative And Quantitative ◽  
Data Analyses ◽  
Quantitative Characters ◽  
The Subject

The subject of this paper is to evaluate criteria in the decision-making process for choosing new usable office facilities in light of a big company or public service seeking for new usable office facilities. The criteria defining the requirements for individual selection variants enter into this decision-making process. These criteria have qualitative and quantitative characters. In order to model the criteria, it is desirable that their values are standardized. The method of standardization of these criteria is given in this paper. In this paper, attention is paid to the decision-making process in the course of choosing new usable facilities in administration objects. This decision-making process is based on input data analyses and on conclusions for a certain selection variant resulting from them.

Fusion of Fuzzy Multi-Criteria Decision Making Approaches for Discriminating Risk with Relate to Software Project Performance

2021 ◽  
pp. 346-373
Author(s):  
Arun Kumar Sangaiah ◽  
Vipul Jain
Keyword(s):  
Decision Making ◽  
Project Performance ◽  
Software Project ◽  
Multi Criteria Decision Making ◽  
Assessment Framework ◽  
Planning And Control ◽  
Project Complexity ◽  
Software Project Performance ◽  
And Performance ◽  
And Control

The prediction and estimation software risks ahead have been key predictor for evaluating project performance. Discriminating risk is vital in software project management phase, where risk and performance has been closely inter-related to each other. This chapter aims at hybridization of fuzzy multi-criteria decision making approaches for building an assessment framework that can be used to evaluate risk in the context of software project performance in following dimensions: 1) user, 2) requirements, 3) project complexity, 4) planning and control, 5) team, and 6) organizational environment. For measuring the risk for effectiveness of project performance, we have integrated Fuzzy Multi-Criteria Decision Making (FMCDM) and Fuzzy Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) approaches. Moreover the fusion of FMCDM and TOPSIS has not been adequately investigated in the exiting studies.

Multi-Target Gray Situation Decision-Making for Clean Performance of Effective Cleaning Cloth for LCD Display Panel

2011 ◽  
Vol 287-290 ◽  
pp. 2709-2712
Author(s):  
Hong Ying Yang ◽  
Jin Li Zhou ◽  
Ping Ping Zhu ◽  
Hai Bo Yuan
Keyword(s):  
Decision Making ◽  
Performance Appraisal ◽  
Decision Problems ◽  
Actual Performance ◽  
Cleaning Performance ◽  
Lcd Display ◽  
Complex Decision

Multi-target grey situation decision-making can make complex decision problems clear and improve the accuracy of decision. In this paper, it is used to rank the cleaning performance of cleaning cloths for LCD Display Panel. Ten representative cleaning cloths made of Polyester/ Polyamide composite microfiber are chosen. Evaluation indices which affect clean result are extracted and measured. The cleaning effects are then evaluated by both multi-target grey situation decision-making and actual performance appraisal, which show similar results.

scholarly journals Multicriteria Fuzzy Sets Application in Economic Clustering Problems

2017 ◽  
Vol 17 (3) ◽  
pp. 29-46
Author(s):  
Irina Radeva
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Input Data ◽  
Multi Criteria Decision Making ◽  
Promethee Ii ◽  
Specific Input ◽  
Clustering Problems ◽  
Data Requirements

Abstract This paper presents an approach for small and medium-sized enterprises selection in economic clusters, where the problem of integration is defined as “ill structured under condition of uncertainty”. The proposed solution demonstrates applying several fuzzy multi-criteria decision making algorithms along with discussion over specific input data requirements. The results are compared with classical multi-criteria decision-making algorithm PROMETHEE II.

N-soft rough sets and its applications

2021 ◽  
Vol 40 (1) ◽  
pp. 565-573
Author(s):  
Di Zhang ◽  
Pi-Yu Li ◽  
Shuang An
Keyword(s):  
Decision Making ◽  
Hybrid Model ◽  
Rough Sets ◽  
Real Life ◽  
Decision Problems ◽  
Multi Criteria Decision Making ◽  
Approximation Space ◽  
Soft Sets ◽  
Approximation Operators ◽  
Rough Approximation

In this paper, we propose a new hybrid model called N-soft rough sets, which can be seen as a combination of rough sets and N-soft sets. Moreover, approximation operators and some useful properties with respect to N-soft rough approximation space are introduced. Furthermore, we propose decision making procedures for N-soft rough sets, the approximation sets are utilized to handle problems involving multi-criteria decision-making(MCDM), aiming at electing the optional objects and the possible optional objects based on their attribute set. The algorithm addresses some limitations of the extended rough sets models in dealing with inconsistent decision problems. Finally, an application of N-soft rough sets in multi-criteria decision making is illustrated with a real life example.

When is a Decision-Making Method Trustworthy? Criteria for Evaluating Multi-Criteria Decision-Making Methods

2015 ◽  
Vol 14 (06) ◽  
pp. 1171-1187 ◽  
Author(s):  
Thomas L. Saaty ◽  
Daji Ergu
Keyword(s):  
Decision Making ◽  
Comparative Analysis ◽  
Decision Problem ◽  
Decision Makers ◽  
Decision Problems ◽  
Practical Reasons ◽  
Multi Criteria Decision Making ◽  
Analysis And Evaluation ◽  
Better Than

Decision makers often face complicated decision problems with intangible and conflicting criteria. Numerous multi-criteria decision-making (MCDM) methods have been proposed to handle the measurement of the priorities of conflicting tangible/intangible criteria and in turn use them to choose the best alternative for a decision. However, the presence of many MCDM methods bewilders users. The existence of these methods becomes a decision problem in itself, and decision makers may be uncertain about which one to use. Thus the comparative analysis and evaluation of various MCDM methods has come under scrutiny by both researchers and practitioners in order to discover if there are logical, mathematical, social or practical reasons why one method is better than another. Criteria for their evaluation are the first important issue that needs to be resolved. In this paper, 16 criteria are introduced that may be used to judge and evaluate various MCDM methods. The criteria proposed and some guidelines for their evaluation are given to help readers evaluate these MCDM methods.

scholarly journals AN INTEGRATED PICTURE FUZZY ANP-TODIM MULTI-CRITERIA DECISION-MAKING APPROACH FOR TOURISM ATTRACTION RECOMMENDATION

2019 ◽  
Vol 26 (2) ◽  
pp. 331-354 ◽  
Author(s):  
Chao Tian ◽  
Juan-juan Peng
Keyword(s):  
Decision Making ◽  
Fuzzy Numbers ◽  
Distance Measure ◽  
Comparative Method ◽  
Analytic Network Process ◽  
Assessment Method ◽  
Multi Criteria Decision Making ◽  
Fuzzy Distance ◽  
Network Process ◽  
Ranking Of Alternatives

In this paper, the picture fuzzy score and accuracy function are first defined. Then, a corresponding comparative method between two picture fuzzy numbers (PFNs) is developed. Next, a novel normalized picture fuzzy distance measure between two PFNs is disclosed, and part of the characteristics of the proposed distance measure are discussed. Afterwards, on the basis of the analytic network process (ANP) and an Acronym in Portuguese of Interactive and Multi-Criteria Decision-Making (TODIM) methods, an integrated ANP-TODIM approach is developed to resolve multi-criteria decision-making (MCDM) where the weights of the criteria are fully unknown. We use ANP approach to decide the weights of criteria on the basis of expert mean assessment method, and TODIM is utilized to obtain the ranking of alternatives. Finally, an illustrative example of an optimal tourism attraction recommendation is provided to testify applicability of the developed decision-making method and prove that its results are effective and reasonable.

Sign in / Sign up

Export Citation Format

Share Document