In this Chapter, we imagine a decision maker (or a group of experts) trying to establish or examine fair procedures to combine opinions about alternatives related to different points of view.

Multiple criteria decision making

The paper considers major principles of application of the multi‐attribute systems to solve legislative tasks. In order to assess dispute resolution methods from economic, social and other points of view, it is necessary to apply methods for assessing solutions according to multiple attributes. All known multi‐attribute methods cannot value the atribute weights as one weight of attribute is higher or lower significant than the other attribute. The new step‐wise weight assessment ratio analysis method (SWARA) allows including experts, lawyers or dispute parties opinion about significance ratio of the attributes in the process of rational decision determination. SWARA method could be applied in practical implementation of specialised decision support systems and alternative dispute resolution in virtual environment. Starting with principles and established approaches, a problem‐structuring methodology was developed which would condition the problem to allow a more thoughtful application of existing...

Selection of rational dispute resolution method by applying new step‐wise weight assessment ratio analysis (Swara)

Two decades was systematically reviewed on fuzzy MCDM techniques from 1994 to 2014.The database for review was 403 papers from more than 150 high-ranking journals.403 scholarly papers were grouped in four different main fields.Papers were classified based on utilizing, developing and proposing research papers. MCDM is considered as a complex decision-making tool involving both quantitative and qualitative factors. In recent years, several fuzzy FMCDM tools have been suggested to choosing the optimal probably options. The purpose of this paper is to review systematically the applications and methodologies of the fuzzy multi decision-making (FMCDM) techniques. This study reviewed a total of 403 papers published from 1994 to 2014 in more than 150 peer reviewed journals (extracted from online databases such as ScienceDirect, Springer, Emerald, Wiley, ProQuest, and Taylor & Francis). According to experts' opinions, these papers were grouped into four main fields: engineering, management and business, science, and technology. Furthermore, these papers were categorized based on authors, publication date, country of origin, methods, tools, and type of research (FMCDM utilizing research, FMCDM developing research, and FMCDM proposing research). The results of this study indicated that, in 2013, scholars have published papers more than other years. In addition, hybrid fuzzy MCDM in the integrated method and fuzzy AHP in the individual section were ranked as the first and second methods in use. Additionally, Taiwan was ranked as the first country that contributed to this survey, and engineering was ranked as the first field that has applied fuzzy DM tools and techniques.

Fuzzy multiple criteria decision-making techniques and applications - Two decades review from 1994 to 2014

Technological and Economic Development of Economy

Multiple criteria decision-making (MCDM) is considered as a complex decision-making (DM) tool involving both quantitative and qualitative factors. In recent years, several MCDM techniques and approaches have been suggested to choosing the optimal probable options. The purpose of this article is to systematically review the applications and methodologies of the MCDM techniques and approaches. This study reviewed a total of 393 articles published from 2000 to 2014 in more than 120 peer reviewed journals (extracted from Web of Science). According to experts’ opinion, these articles were grouped into 15 fields. Furthermore, these articles were categorised based on authors, publication date, name of journals, methods, tools, and type of research (MCDM utilising research, MCDM developing research, and MCDM proposing research). The results of this study indicated that in 2013 scholars have published articles more than in other years. In addition, the analytic hierarchy process (AHP) method in the individual tool...

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Multiple criteria decision-making techniques and their applications – a review of the literature from 2000 to 2014

One of important parts of every computer-aided multiple criteria decision support system is selection of a proper MCDM (Multiple Criteria Decision Making) method. WSM (Weighted Sum Model) and WPM (Weighted Product Model) are analyzed in the current research. The aim of the research is to measure the accuracy of the latter methods and to propose a method to increase the ranking accuracy of alternatives. It is proposed to apply joint WASPAS (Weighted Aggregates Sum Product Assessment) method. Methodology for evaluation of accuracy, based on initial criteria values, is developed. Optimization of weighted aggregated function is suggested, that enables to reach the highest accuracy of measurement. An example of application of the proposed methodology is presented. Ill. 3, bibl. 15, tabl. 4 (in English; abstracts in English and Lithuanian). DOI: http://dx.doi.org/10.5755/j01.eee.122.6.1810

https://eejournal.ktu.lt/index.php/elt/article/download/1810/1468

Optimization of Weighted Aggregated Sum Product Assessment

The paper analyses the problem of ranking accuracy in multiple criteria decision-making (MCDM) methods. The methodology for measuring the accuracy of determining the relative significance of alternatives as a function of the criteria values is developed. An algorithm of the Technique for the Order Preference by Similarity to Ideal Solution (TOPSIS) that applies criteria values' transformation through a normalization of vectors and the linear transformation is considered. A computational experiment is presented, to compare the results of a multiple criteria analysis and the ranking accuracy in a particular situation.

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Evaluation of Ranking Accuracy in Multi-Criteria Decisions

Decision making in construction management has been always complicated especially if there were more than one criterion under consideration. Multiple criteria decision making (MCDM) has been often applied for complex decisions in construction when a lot of criteria were involved. Traditional MCDM methods, however, operate with independent and conflicting criteria. While in every day problems a decision maker often faces interactive and interrelated criteria. Accordingly, the need of improving and supplementing the methodology of compromise decisions arose. It was proposed to supplement TOPSIS (Technique for the Order Preference by Similarity to Ideal Solution) method and integrate the Mahalanobis distance in the usual algorythm of TOPSIS. Mahalanobis distance measure offered an option to take the correlations between the criteria into considerations while making the decision. A case study of building redevelopment in Lithuanian rural areas was presented that demonstrated the application of the pr...

Multiple criteria construction management decisions considering relations between criteria

The aim of the current research is to measure objective congruence (incongruence) of the results obtained in a process of multiple criteria analysis when applying different MCDM methods. The methodology for evaluation of ranking results is developed on the ground of a case study of the redevelopment of derelict buildings as well as on composed experimental tasks. Fuzzified COPRAS, TOPSIS and VIKOR methods are applied for ranking the alternatives. Calculation results are evaluated by applying mathematical statistics methods. A methodology for measuring the congruence (incongruence) of the relative significances of alternatives is proposed.

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Measuring Congruence of Ranking Results Applying Particular MCDM Methods

For investigating horizontal deformations of geodetic networks, the data of GPS measurements of the epochs about 1992 and 2003 were used. To avoid the impact of the discrepancy of the systems of coordinates upon the parameters of the deformations, the method of tensor analysis was applied using the method of finite elements. A geodetic network consists of 19 triangles; 15 geodetic ground benchmarks observed by GPS method were used. The horizontal deformations of geodetic network in the territory of the Baltic Sea region were calculated. The maximum relative strain in the territory of the Baltic Sea region varies between +0,03×10–6 and +0,58×10–6 and is positive within the whole territory; the minimum relative strain varies between –0,93× 10–6 and +0,03× 10–6; and the dilatation varies between –0,35×10–6 and +0,16×10–6.

Algimantas Zakarevičius

Papers

Optimization of Weighted Aggregated Sum Product Assessment

Evaluation of Ranking Accuracy in Multi-Criteria Decisions

Multiple criteria construction management decisions considering relations between criteria

Measuring Congruence of Ranking Results Applying Particular MCDM Methods

Geodetic network deformation based on GPS data in the Baltic region