Research Article An Extended Fuzzy TODIM Approach for Multiple-Attribute Decision-Making with Dual-Connection Numbers Irvanizam Irvanizam , 1 Tarmizi Usman, 2 Muhd Iqbal, 1 Taufiq Iskandar, 2 and Marzuki Marzuki 3 1 Department of Informatics, Universitas Syiah Kuala, Banda Aceh 23111, Indonesia 2 Department of Mathematics, Universitas Syiah Kuala, Banda Aceh 23111, Indonesia 3 Department of Statistics, Universitas Syiah Kuala, Banda Aceh 23111, Indonesia Correspondence should be addressed to Irvanizam Irvanizam; irvanizam.zamanhuri@unsyiah.ac.id Received 17 December 2019; Revised 4 April 2020; Accepted 20 June 2020; Published 11 July 2020 Academic Editor: Katsuhiro Honda Copyright © 2020 Irvanizam Irvanizam et al. is is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. e TODIM is a decision-making method that can examine the psychological behavior of decision-makers (DMs). However, the traditional TODIM method has still not been having the ability to overcome fuzzy information such as interval values and linguistic variables. is paper proposes an extended TODIM decision-making model for multiple-attribute decision-making (MADM) problems in a linguistic environment using dual-connection numbers (DCNs). e extended model uses linguistic variables in which the values of alternatives and criteria for both of them are formatted in the triangular fuzzy numbers (TFNs) to express the uncertain information. First, some definitions and basic operators of the TFNs and DCNs are introduced. en, the way how to convert fuzzy information in forms of the TFNs into DCNs and the step how to transform each criterion weight value into a crisp value using the defuzzification of Minkowski are demonstrated. Furthermore, the traditional TODIM is improved to address MADM problems with DCNs, and detailed calculation steps in determining decisions are explained. Finally, an il- lustrative example which is a cadre selection problem is applied to demonstrate the conformity and validity of the extended TODIM method and to compare it with some other methods. 1.Introduction Multiple-attribute decision-making (MADM) has now become a principal issue in decision science. is approach can de- termine the best and optimal alternatives from a finite set of alternatives. Hence, the approach has been widely applied in many territories such as transportation [1], management [2], energy [3], and industry [4–6]. However, along with the growing variety of case studies and the increasing involvement of decision-makers in decision-making, we still must consider ways how to express the fuzziness information in human perceptivity and give appropriate evaluation by optimal deci- sion methods for MADM problems. So far, there are numerous approaches to evaluate this fuzziness such as fuzzy set (FS), intuitionistic fuzzy set (IFS), and set-pair analysis (SPA). By using fuzzy truth-membership (TM), Zadeh in [7] proposed FSs to interpret fuzzy assessment information. Based on the concept of FS, Atanassov in [8] then introduced IFSs that contain TM and the artificiality membership (AM). However, the IFSs can only be used to incomplete information and they cannot address uncertain and certain information. en, Zhao in [9] first introduced SPA to interpret the TM and AM; be- sides, it also analyzes the relationship between uncertain and certain information. e SPA utilizes the dual-connection number (DCN) to formulate TM under certain and uncertain circumstances. Moreover, it can also analyze mathematically the characteristics, interrelation, and relation of these two circumstances. Based on their advantages, DCNs have been widely applied in an augmentative number of sectors to support decision-makers (DMs) in making feasible and rational judg- ments. A very recently, Garg and Kumar in [10] have used the SPA with the DCN method under the IFS environment to Hindawi Advances in Fuzzy Systems Volume 2020, Article ID 6190149, 10 pages https://doi.org/10.1155/2020/6190149