A Closeness Index-Based TODIM Method for Hesitant Qualitative Group Decision Making

In this article, we extend the original TODIM (Portuguese acronym for Interactive Multi-Criteria Decision Making) method to the 2-tuple linguistic neutrosophic fuzzy environment to propose the 2TLNNs TODIM method. In the extended method, we use 2-tuple linguistic neutrosophic numbers (2TLNNs) to present the criteria values in multiple attribute group decision making (MAGDM) problems. Firstly, we briefly introduce the definition, operational laws, some aggregation operators and the distance calculating method of 2TLNNs. Then, the calculation steps of the original TODIM model are presented in simplified form. Thereafter, we extend the original TODIM model to the 2TLNNs environment to build the 2TLNNs TODIM model, our proposed method, which is more reasonable and scientific in considering the subjectivity of DM’s behaviors and the dominance of each alternative over others. Finally, a numerical example for the safety assessment of a construction project is proposed to illustrate the new method, and some comparisons are also conducted to further illustrate the advantages of the new method.

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A NOVEL EDAS BASED METHOD FOR MULTIPLE ATTRIBUTE GROUP DECISION MAKING WITH PYTHAGOREAN 2-TUPLE LINGUISTIC INFORMATION

Technological and Economic Development of Economy ◽

10.3846/tede.2020.12733 ◽

2020 ◽

Vol 26 (6) ◽

pp. 1125-1138

Author(s):

Tingting He ◽

Guiwu Wei ◽

Jianping Lu ◽

Jiang Wu ◽

Cun Wei ◽

...

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Safety Assessment ◽

Group Decision ◽

Construction Safety ◽

Aggregation Operators ◽

Multiple Attribute ◽

Todim Method ◽

Basic Concepts ◽

Magdm Problems

In this article, we combine some fundamental theories of the Pythagorean 2-tuple linguistic sets (P2TLSs) with EDAS method and design the Pythagorean 2-tuple linguistic number (P2TLN) EDAS (P2TLN-EDAS) method for multiple attribute group decision making (MAGDM) issue. Firstly, the basic concepts of P2TLSs are introduced. Next, two aggregation operators of P2TLN are defined, and then the calculation steps of EDAS method are listed briefly. Furthermore, P2TLN-EDAS method is given for MAGDM problems and computing steps are proposed in detail. Finally, a computational example related to construction safety assessment is used to expound the effectiveness of the designed method. Meanwhile, we also carried out some comparative analysis between P2TLN-EDAS method and P2TLWA/P2TLWG operators and another P2TLN-TODIM method. The results show that P2TLN-EDAS method derives the same best alternative as P2TLWA, P2TLWG operators and P2TLN-TODIM method.

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NC-TODIM Based MAGDM under Neutrosophic Cubic Set Environment

10.20944/preprints201710.0146.v1 ◽

2017 ◽

Author(s):

Surapati Pramanik ◽

Shyamal Dalapati ◽

Shariful Alam ◽

Tapan Kumar Roy

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Attenuation Factor ◽

Neutrosophic Set ◽

Conduct Sensitivity Analysis ◽

Todim Method ◽

Interval Neutrosophic Set ◽

Ranking Order ◽

The Impact

Neutrosophic cubic set is the hybridization of the concept of neutrosophic set and interval neutrosophic set. Neutrosophic cubic set has the capacity to express the hybrid information of both the interval neutrosophic set and the single valued neutrosophic set simultaneously. As newly defined, little research on the operations and applications of neutrosophic cubic sets appear in the current literature. In the present paper we propose the score, accuracy functions for neutrosophic cubic sets and prove their basic properties. We firstly develop TODIM method to solve multi attribute group decision making in neutrosophic cubic set environment, which we call NC-TODIM. Also, we solve a MAGDM problem using the proposed NC-TODIM method to show the applicability and effectiveness of the developed method. We also conduct sensitivity analysis to show the impact of ranking order of the alternatives for different values of attenuation factor of losses for multi-attribute group decision making problem.

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