A Visual Comparison Method and Similarity Measure for Probabilistic Linguistic Term Sets and Their Applications in Multi-criteria Decision Making

2019 ◽  
Vol 21 (4) ◽  
pp. 1154-1169 ◽  
Author(s):  
Sidong Xian ◽  
Jiahui Chai ◽  
Yubo Yin
Keyword(s):  
Decision Making ◽  
Similarity Measure ◽  
Comparison Method ◽  
Multi Criteria Decision Making ◽  
Visual Comparison ◽  
Linguistic Term ◽  
Probabilistic Linguistic Term Sets

scholarly journals The application of probabilistic linguistic CODAS method based on new score function in multi-criteria decision-making

2021 ◽  
Vol 41 (1) ◽  
Author(s):  
Liuxin Chen ◽  
Xiaoling Gou
Keyword(s):  
Decision Making ◽  
Score Function ◽  
Multi Criteria Decision Making ◽  
Topsis Method ◽  
Linguistic Terms ◽  
Complete Representation ◽  
Linguistic Term ◽  
Probabilistic Linguistic Term Sets ◽  
Todim Method

AbstractProbabilistic linguistic term sets (PLTSs) play an important role in multi-criteria decision-making(MCDM) problems because it can not only describe objects with several possible linguistic terms, but also represent the proportion of each linguistic term, which can effectively avoid the distortion of decision information to a greater extent and ensure the credibility of decision results. First, to compare PLTS more simply and reasonably, we define a new score function that takes into account partial deviations. Then considering the superiority of the classic combinative distance-based assessment (CODAS) method in the complete representation of information, it is extended to the probabilistic linguistic environment. Subsequently, we improved the classic CODAS method and proposed the PL-CODAS method. Finally, we apply the PL-CODAS method to a cases of venture investors choosing emerging companies, and we compare the proposed method with PL-TOPSIS method, PL-TODIM method and PL-MABAC method to verify its applicability and effectiveness.

Comparisons of probabilistic linguistic term sets for multi-criteria decision making

2017 ◽  
Vol 119 ◽  
pp. 284-291 ◽  
Author(s):  
Chengzu Bai ◽  
Ren Zhang ◽  
Longxia Qian ◽  
Yaning Wu
Keyword(s):  
Decision Making ◽  
Multi Criteria Decision Making ◽  
Linguistic Term ◽  
Probabilistic Linguistic Term Sets

Multi-criteria decision-making based on hesitant fuzzy linguistic term sets: An outranking approach

2015 ◽  
Vol 86 ◽  
pp. 224-236 ◽  
Author(s):  
Jing Wang ◽  
Jian-qiang Wang ◽  
Hong-yu Zhang ◽  
Xiao-hong Chen
Keyword(s):  
Decision Making ◽  
Multi Criteria Decision Making ◽  
Linguistic Term ◽  
Fuzzy Linguistic

Multi-criteria Decision-making Applications Based on Set Valued Generalized Neutrosophic Quadruple Sets for Law

2021 ◽  
pp. 41-60
Author(s):  
Necmiye Merve Sahin ◽  
◽  
◽  
Merve Sena Uz
Keyword(s):  
Decision Making ◽  
Similarity Measure ◽  
Point Of View ◽  
Multi Criteria Decision Making ◽  
Legal Decisions ◽  
The Law ◽  
Made In

In this article, an algorithm has been introduced that enables judges to see the decisions that should be made in a way that is closest to the conscience and the law, without transferring the cases to the higher authorities, without anyone objecting to their decisions. This algorithm has been introduced depending on the generalized set-valued neutrosophic quadruple numbers and the Euclidean similarity measure in sets, what the decision is made by considering all the situations, regardless of which case the defendants come before the judge, how similar these decisions are to the legal decisions that should be made. In this way, we can easily see the decisions given to the accused in all kinds of cases, and we can arrange the decisions according to the similarity value. The closer the similarity value is to 1, the more correct the judge's decision from a legal point of view.

scholarly journals Simplified neutrosophic linguistic normalized weighted bonferroni mean operator and its application to multi-criteria decision-making problems

Filomat ◽  
2016 ◽  
Vol 30 (12) ◽  
pp. 3339-3360 ◽  
Author(s):  
Zhang-Peng Tian ◽  
Jing Wang ◽  
Hong-Yu Zhang ◽  
Xiao-Hong Chen ◽  
Jian-Qiang Wang
Keyword(s):  
Decision Making ◽  
Comparison Method ◽  
Multi Criteria Decision Making ◽  
Comparison Analysis ◽  
Scale Functions ◽  
Bonferroni Mean ◽  
Special Cases

The main purpose of this paper is to provide a method of multi-criteria decision-making that combines simplified neutrosophic linguistic sets and normalized Bonferroni mean operator to address the situations where the criterion values take the form of simplified neutrosophic linguistic numbers and the criterion weights are known. Firstly, the new operations and comparison method for simplified neutrosophic linguistic numbers are defined and some linguistic scale functions are employed. Subsequently, a Bonferroni mean operator and a normalized weighted Bonferroni mean operator of simplified neutrosophic linguistic numbers are developed, in which some desirable characteristics and special cases with respect to the parameters p and q in Bonferroni mean operator are studied. Then, based on the simplified neutrosophic linguistic normalized weighted Bonferroni mean operator, a multi-criteria decision-making approach is proposed. Finally, an illustrative example is given and a comparison analysis is conducted between the proposed approach and other existing method to demonstrate the effectiveness and feasibility of the developed approach.

scholarly journals Intuitionistic Fuzzy Hierarchical Multi-Criteria Decision Making for Evaluating Performances of Low-Carbon Tourism Scenic Spots

2020 ◽  
Vol 17 (17) ◽  
pp. 6259
Author(s):  
Xuan Yang ◽  
Zhou-Jing Wang
Keyword(s):  
Decision Making ◽  
Performance Evaluation ◽  
Pairwise Comparison ◽  
Evaluation Index System ◽  
Multi Criteria Decision Making ◽  
Low Carbon ◽  
Decision Matrix ◽  
Intuitionistic Fuzzy ◽  
Linguistic Term ◽  
Performance Evaluation Index

Low-carbon tourism is an effective solution to cope with the goal conflict between developing tourist economy and responding to carbon emission reduction and ecological environment protection. Tourism scenic spots are important carriers of tourist activities and play a crucial role in low-carbon tourism. There are multiple factors affecting the low-carbon performance of a tourism scenic spot, and thus the performance evaluation and ranking of low-carbon tourism scenic spots can be framed as a hierarchical multi-criteria decision making (MCDM) problem. This paper develops a novel method to tackle hierarchical MCDM problems, in which the importance preferences of criteria over the decision goal and sub-criteria with respect to the upper-level criterion are provided by linguistic-term-based pairwise comparisons and the assessments of alternatives over each of sub-criteria at the lowest level are furnished by positive interval values. The linguistic-term-based pairwise comparison matrices are converted into intuitionistic fuzzy preference relations and an approach is developed to obtain the global importance weights of the lowest level sub-criteria. A multiplicatively normalized intuitionistic fuzzy decision matrix is established from the interval-value-based assessments of alternatives and a method is proposed to determine the intuitionistic fuzzy value based comprehensive scores of alternatives. A case study is offered to illustrate how to build a performance evaluation index system of low-carbon tourism scenic spots located at Zhejiang Province of China and show the use of the proposed intuitionistic fuzzy hierarchical MCDM method.

Sign in / Sign up

Export Citation Format

Share Document