TODIM method for probabilistic linguistic multiple attribute group decision making based on the similarity measures and entropy

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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Similarity Measures of Linguistic Cubic Hesitant Variables for Multiple Attribute Group Decision-Making

Information ◽

10.3390/info10050168 ◽

2019 ◽

Vol 10 (5) ◽

pp. 168 ◽

Cited By ~ 2

Author(s):

Xueping Lu ◽

Jun Ye

Keyword(s):

Decision Making ◽

Similarity Measure ◽

Group Decision Making ◽

Group Decision ◽

Similarity Measures ◽

Weight Changes ◽

Hybrid Form ◽

Included Angle ◽

Multiple Attribute ◽

Language Variables

A linguistic cubic hesitant variable (LCHV) is a hybrid form of linguistic values in group decision-making environments. It is composed of an interval language variable and multiple single-valued language variables given by different decision-makers (DMs). Due to the uncertainty and hesitation of DMs, the numbers of language variables in different LCHVs are unequal. Thus, the least common multiple number (LCMN) extension method was adopted. Based on the included angle and distance of two LCHVs, we presented two cosine similarity measures and developed a multiple attribute group decision-making (MAGDM) approach. An example of engineer selection was used to implement the proposed LCHV MAGDM method and demonstrate the simplicity and feasibility of the proposed method. The sensitivity analysis of weight changes for the two measures showed that the similarity measure based on distance was more stable than the similarity measure based on included angle in this application.

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