2016
DOI: 10.1080/18756891.2016.1150003
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Interactive TOPSIS Based Group Decision Making Methodology Using Z-Numbers

Abstract: The ability in providing result that is consistent with actual ranking remains the major concern in group decision making environment. The main aim of this paper is to introduce a novel modification of TOPSIS method to facilitate multi criteria decision making problems based on the concept of Z-numbers called Z-TOPSIS. The proposed method is adequate and intuitive in giving meaningful structure for formalizing information of a decision making problem, as it takes into account the decision makers' reliability. … Show more

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Cited by 101 publications
(60 citation statements)
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“…Previous research has described the use of TOPSIS method theory for the best employee selection [10], even some previous research on the use of TOPSIS method has been very much with various cases [11], the application of TOPSIS method on web application for the best employee selection is expected to contribute different from previous research that already exist.…”
Section: Introductioncontrasting
confidence: 43%
“…Previous research has described the use of TOPSIS method theory for the best employee selection [10], even some previous research on the use of TOPSIS method has been very much with various cases [11], the application of TOPSIS method on web application for the best employee selection is expected to contribute different from previous research that already exist.…”
Section: Introductioncontrasting
confidence: 43%
“…The classical TOPSIS normalized the decision matrix by vector normalization. Yaakob and Gegov [36] extended the classical TOPSIS method into the Z-numbers environment and implemented it in the stock selection problem, but that method could not support the MCDM with target criteria. We extend the TOPSIS method into the Z-fuzzy environment by combining it with the target-based vector normalization method (i.e., Equation (14)).…”
Section: Solving the Case By The Z-topsis Methodsmentioning
confidence: 99%
“…Compared with the classical fuzzy set, the Z-number takes into account the uncertainty in information generation process and the reliability of information. At present, it has been combined with many MCDM methods such as TOPSIS [36,37], VIKOR [38], Multi-Objective Optimization by Ratio Analysis (MOORA) [39], COmbinative Distance-based Assessment (CODAS) [40], PROMETHEE [41], TODIM (an acronym in Portuguese of interactive and multicriteria decision-making) [37], AHP [42], BWM [43] and Data Envelopment Analysis (DEA) [44]. 1] are two TFNs, we can convert the Z-number to an ordinary fuzzy number [45].…”
Section: Z-numbermentioning
confidence: 99%
“…To reflect and model the uncertainties, several mathematical models have been developed. As a traditional tool, probability theory was introduced to study the quantitative law of random phenomenon . In probability theory, a random event has two situations when making an observation, that is, may or may not occur.…”
Section: Introductionmentioning
confidence: 99%