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The extention rank ordering criteria weighting methods in fuzzy enviroment

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ROSZKOWSKA E.
Operations Research and Decisions
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2020
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vol. 30
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issue 2
91-114
EN
Weight elicitation is an important part of multi-criteria decision analysis. In real-life decision-making problems precise information is seldom available, and providing weights is often cognitively demanding as well as very time- and effort-consuming. The judgment of decision-makers (DMs) de-pends on their knowledge, skills, experience, personality, and available information. One of the weights determination approaches is ranking the criteria and converting the resulting ranking into numerical values. The best known and most widely used are rank sum, rank reciprocal and centroid weights tech-niques. The goal of this paper is to extend rank ordering criteria weighting methods for imprecise data, especially fuzzy data. Since human judgments, including preferences, are often vague and cannot be expressed by exact numerical values, the application of fuzzy concepts in elicitation weights is deemed relevant. The methods built on the ideas of rank order techniques take into account imprecise infor-mation about rank. The fuzzy rank sum, fuzzy rank reciprocal, and fuzzy centroid weights techniques are proposed. The weights obtained for each criterion are triangular fuzzy numbers. The proposed fuzzy rank ordering criteria weighting methods can be easily implemented into decision support systems. Numerical examples are provided to illustrate the practicality and validity of the proposed methods
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Multiple-Criteria Decision Analysis Using Topsis Method For Interval Data In Research Into The Level Of Information Society Development

100%
Łatuszyńska A.
Folia Oeconomica Stetinensia
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2014
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vol. 13
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issue 2
63-76
EN
When making choices and decisions, very seldom does the situation arise that a decision-maker very seldom bases their assessment of the options available on only one criterion. Frequently, many aspects of the available solutions are considered – both in terms of potential benefits and costs. In order to support decision makers, the Multiple-Criteria Decision Analysis (MCDA) is used for selecting the solution which is the best in several respects. There are many methods of multi-criteria decision-analysis such as AHP, ELECTRE, PROMETHEE, VIKOR or TOPSIS. In the article a modification of the last of these methods is used. With the use of TOPSIS method with interval arithmetic the analysis of the level of information society (IS) development in the European Union countries between 2005 to 2010 is performed and its results are presented.
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