Vague sets are intuitionistic fuzzy sets
Fuzzy Sets and Systems
Extensions of the TOPSIS for group decision-making under fuzzy environment
Fuzzy Sets and Systems
Distances between intuitionistic fuzzy sets
Fuzzy Sets and Systems
New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions
Pattern Recognition Letters
Facility location selection using fuzzy topsis under group decisions
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Some measures of dissimilarity in intuitionistic fuzzy structures
Journal of Computer and System Sciences
Multiattribute decision making models and methods using intuitionistic fuzzy sets
Journal of Computer and System Sciences
Pattern recognition using type-II fuzzy sets
Information Sciences—Informatics and Computer Science: An International Journal
Multicriteria fuzzy decision-making methods based on intuitionistic fuzzy sets
Journal of Computer and System Sciences
Information Sciences: an International Journal
Intuitionistic preference relations and their application in group decision making
Information Sciences: an International Journal
Fractional programming methodology for multi-attribute group decision-making using IFS
Applied Soft Computing
Discussion: Some notes on (Atanassov's) intuitionistic fuzzy sets
Fuzzy Sets and Systems
Linear programming method for multiattribute group decision making using IF sets
Information Sciences: an International Journal
Linear programming method for MADM with interval-valued intuitionistic fuzzy sets
Expert Systems with Applications: An International Journal
IEEE Transactions on Fuzzy Systems
General IF-sets with triangular norms and their applications to group decision making
Information Sciences: an International Journal
Combining grey relation and TOPSIS concepts for selecting an expatriate host country
Mathematical and Computer Modelling: An International Journal
International Journal of Decision Support System Technology
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This paper extends the technique for order preference by similarity to ideal solution TOPSIS for solving multi-attribute group decision making MAGDM problems under Atanassov intuitionistic fuzzy set IFS environments. In this methodology, weights of attributes and ratings of alternatives on attributes are extracted from fuzziness inherent in decision data and making process and described using Atanassov IFSs. An Euclidean distance measure is developed to calculate the differences between alternatives for each decision maker and an Atanassov IFS positive ideal solution IFSPIS as well as an Atanassov IFS negative ideal-solution IFSNIS. Degrees of relative closeness to the Atanassov IFSPIS for all alternatives with respect to each decision maker in the group are calculated. Then all decision makers in the group may be regarded as "attributes" and a corresponding classical MADM problem is generated and hereby solved by the TOPSIS. The proposed methodology is validated and compared with other similar methods. A numerical example is examined to demonstrate the implementation process of the methodology proposed in this paper.