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An Algorithm for Fuzzy Negations Based-Intuitionistic Fuzzy Copula Aggregation Operators in Multiple Attribute Decision Making

Department of Civil Engineering Section of Mathematics and Informatics, Democritus University of Thrace, 67100 Kimeria, Greece
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Algorithms 2020, 13(6), 154; https://doi.org/10.3390/a13060154
Received: 29 May 2020 / Revised: 19 June 2020 / Accepted: 23 June 2020 / Published: 26 June 2020
In this paper, we develop a novel computation model of Intuitionistic Fuzzy Values with the usage of fuzzy negations and Archimedean copulas. This novel computation model’s structure is based on the extension of the existing operations of intuitionistic fuzzy values with some classes of fuzzy negations. Many properties of the proposed operations are investigated and proved. Additionally, in this paper we introduce the concepts of intuitionistic fuzzy Archimedean copula weighted arithmetic and geometric aggregation operators based on fuzzy negations, including a further analysis of their properties. Finally, using a case study from an already published paper we found that our method has many advantages. View Full-Text
Keywords: intuitionistic fuzzy sets; fuzzy negations; copula; intuitionistic fuzzy Archimedean copula aggregation operators; multiple attribute decision making intuitionistic fuzzy sets; fuzzy negations; copula; intuitionistic fuzzy Archimedean copula aggregation operators; multiple attribute decision making
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Giakoumakis, S.; Papadopoulos, B. An Algorithm for Fuzzy Negations Based-Intuitionistic Fuzzy Copula Aggregation Operators in Multiple Attribute Decision Making. Algorithms 2020, 13, 154.

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