scholarly journals DHHFL-MABAC Approach based on DHHFLDM-LCME for Multi-criteria Group Decision Making Involving Sewage Treatment Company Selection

2022 ◽  
Author(s):  
Sidong Xian ◽  
Zhaoyu Yan ◽  
Wenhua Wan
Keyword(s):  
Decision Making ◽  
Distance Measure ◽  
Sewage Treatment ◽  
Simple Calculation ◽  
Linguistic Distance ◽  
Entropy Weight ◽  
Least Common Multiple ◽  
Contrast Method ◽  
Complex Decision Making ◽  
Fuzzy Linguistic

Abstract With the continuous acceleration of urban construction and development, ecological governance has become an important part of our green life. Therefore, how to select the appropriate governance company in the complex decision-making environment is very important. A double hierarchy hesitant fuzzy linguistic multi-attributive border approximation area method (DHHFL-MABAC) is proposed in this paper, which is based on distance measure and comprehensive weight. DHHFL-MABAC method not only considers the potential loss, but also has simple calculation and stable results. The double hierarchy hesitant fuzzy linguistic distance measure based on least common multiple (DHHFLDM-LCME) is proposed, which reduces the loss of original information and makes the result more accurate. Binary contrast method is proposed and combined with entropy weight to obtain comprehensive weight, which makes the determined weight more reasonable. Finally, this method is applied to the case selected by the sewage treatment company and proved its effectiveness.

scholarly journals A Single-Valued Neutrosophic Linguistic Combined Weighted Distance Measure and Its Application in Multiple-Attribute Group Decision-Making

Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 275 ◽  
Author(s):  
Chengdong Cao ◽  
Shouzhen Zeng ◽  
Dandan Luo
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Distance Measure ◽  
Group Decision ◽  
Weighted Average ◽  
Weighted Averaging ◽  
Low Carbon ◽  
Linguistic Distance ◽  
Weighted Distance ◽  
Multiple Attribute

The aim of this paper is to present a multiple-attribute group decision-making (MAGDM) framework based on a new single-valued neutrosophic linguistic (SVNL) distance measure. By unifying the idea of the weighted average and ordered weighted averaging into a single-valued neutrosophic linguistic distance, we first developed a new SVNL weighted distance measure, namely a SVNL combined and weighted distance (SVNLCWD) measure. The focal characteristics of the devised SVNLCWD are its ability to combine both the decision-makers’ attitudes toward the importance, as well as the weights, of the arguments. Various desirable properties and families of the developed SVNLCWD were contemplated. Moreover, a MAGDM approach based on the SVNLCWD was formulated. Lastly, a real numerical example concerning a low-carbon supplier selection problem was used to describe the superiority and feasibility of the developed approach.

scholarly journals Multiple Attribute Group Decision Making Based on Simplified Neutrosophic Integrated Weighted Distance Measure and Entropy Method

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Haibo Zhang ◽  
Zhimin Mu ◽  
Shouzhen Zeng
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Distance Measure ◽  
Group Decision ◽  
Neutrosophic Set ◽  
Entropy Measure ◽  
Uncertain Information ◽  
Entropy Weight ◽  
Weighted Distance ◽  
Multiple Attribute

Simplified neutrosophic set (SNS) is a popular tool in modelling potential, imprecise, and uncertain information within complex environments. In this paper, a method based on the integrated weighted distance measure and entropy weight is proposed for handling SNS multiple attribute group decision-making (MAGDM) problems. To this end, the simplified neutrosophic (SN) integrated weighted distance (SVNIWD) measure is first developed for overcoming the limitations of the existing methods. Afterward, the proposed SNIWD’s several properties and particular status are studied. Moreover, a flexible and useful MAGDM approach that combines the strengths of the SNIWD and the SNS is proposed, wherein the SN entropy measure is applied to calculate the unknown weight information regarding attributes. Finally, a numerical case of investment evaluation and subsequent comparative analysis are conducted to prove the superiority of the proposed framework.

scholarly journals Sustainable Construction Supplier Selection by a Multiple Criteria Decision-making Method with Hesitant Linguistic Information

2020 ◽  
Vol 23 (4) ◽  
pp. 119-136
Author(s):  
Huchang Liao ◽  
Ruxue Ren ◽  
Jurgita Antucheviciene ◽  
Jonas Šaparauskas ◽  
Abdullah Al-Barakati
Keyword(s):  
Decision Making ◽  
Resource Constraints ◽  
Distance Measure ◽  
Multiple Criteria Decision Making ◽  
Sustainable Construction ◽  
Multi Criteria Decision Making ◽  
Evaluation Tool ◽  
Linguistic Term ◽  
Decision Making Model ◽  
Fuzzy Linguistic

Within the context of resource constraints and ecological environment imbalance, the adoption of green suppliers can help construction enterprises achieve sustainable development and improve their competitiveness. The selection of sustainable construction suppliers is a multi-criteria decision-making problem since multiple factors should be considered. The increasingly complex decision-making environment makes it difficult for evaluators to give accurate evaluation values. In this regard, the hesitant fuzzy linguistic term set is a qualitative evaluation tool to represent the comprehensive linguistic evaluation values of experts by considering the hesitancy behaviors of experts. In this paper, a scientific multi-criteria decision-making model based on the improved Stepwise Weight Assessment Ratio Analysis (SWARA) method and the double normalization-based multi-aggregation (DNMA) method in the hesitant fuzzy linguistic environment is proposed. A new distance measure is proposed to measure the differences between hesitant fuzzy linguistic term sets with different lengths without changing the original evaluation information of experts. The proposed distance measure is applied to the proposed multi-criteria decision-making model. After improving the calculation steps of the traditional SWARA method, we can determine the weights of criteria effectively through our proposed model. To verify the applicability of the proposed method, we implement it to select sustainable building suppliers. The effectiveness of the method is verified by sensitivity analysis. We also compare the results obtained by our method and those derived by the Weight Aggregated Sum Product ASsessment (WASPAS) method and the Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) method. The proposed method have a strong applicability to solve the sustainability-related decision problems given that it can effectively determine the weights of criteria and flexibly meet the needs of decision-makers by adjusting the coefficient.

Distance-Based Multi-Criteria Group Decision-Making Approaches with Multi-Hesitant Fuzzy Linguistic Information

2017 ◽  
Vol 16 (04) ◽  
pp. 1069-1099 ◽  
Author(s):  
Jing Wang ◽  
Jian-Qiang Wang ◽  
Hong-Yu Zhang ◽  
Xiao-Hong Chen
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Decision Makers ◽  
Linguistic Distance ◽  
Linguistic Information ◽  
Set Operations ◽  
Linguistic Term ◽  
Linguistic Scale Function ◽  
Fuzzy Linguistic

In this paper, the distance-based multi-criteria group decision-making (MCGDM) approaches using multi-hesitant fuzzy linguistic term sets (MHFLTSs) are proposed. MHFLTSs can contain nonconsecutive and repetitive linguistic terms, so as to deal with repeated linguistic values in group decision-making. A multi-hesitant fuzzy linguistic term element (MHFLTE) can be produced by collecting the evaluation values of several decision-makers or given by one person who has uncertainty in evaluation. The corresponding set operations and comparison rules are defined and the generalized hesitant fuzzy linguistic distance for MHFLTEs is given based on the linguistic scale function. Then this distance is embedded into the TOPSIS, VIKOR and TODIM approaches for the purpose of solving multi-criteria decision-making (MCDM) problems in the context of multi-hesitant fuzzy linguistic information. With increasing concerns about deterioration in environment, organizations are obliged to carry out more environmental sustainable activities than before, such as progressive practices in green supply chain management (GSCM). Therefore, with respect to the application of MHFLTSs in GSCM, two illustrations for evaluating the related alternatives are finally provided, together with the sensitivity and comparison analysis, to show the validity and effectiveness of our proposal.

scholarly journals Pairwise Comparison and Distance Measure of Hesitant Fuzzy Linguistic Term Sets

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Han-Chen Huang ◽  
Xiaojun Yang
Keyword(s):  
Decision Making ◽  
Distance Measure ◽  
Pairwise Comparison ◽  
Multicriteria Decision Making ◽  
Comparison Method ◽  
Linguistic Terms ◽  
Pairwise Comparison Matrix ◽  
Linguistic Term ◽  
Measure Methods ◽  
Fuzzy Linguistic

A hesitant fuzzy linguistic term set (HFLTS), allowing experts using several possible linguistic terms to assess a qualitative linguistic variable, is very useful to express people’s hesitancy in practical decision-making problems. Up to now, a little research has been done on the comparison and distance measure of HFLTSs. In this paper, we present a comparison method for HFLTSs based on pairwise comparisons of each linguistic term in the two HFLTSs. Then, a distance measure method based on the pairwise comparison matrix of HFLTSs is proposed, and we prove that this distance is equal to the distance of the average values of HFLTSs, which makes the distance measure much more simple. Finally, the pairwise comparison and distance measure methods are utilized to develop two multicriteria decision-making approaches under hesitant fuzzy linguistic environments. The results analysis shows that our methods in this paper are more reasonable.

A COMPUTER ORIENTED VELOCITY ANALYSIS INTERPRETATION TECHNIQUE

Geophysics ◽  
1974 ◽  
Vol 39 (5) ◽  
pp. 619-632 ◽  
Author(s):  
John E. Beitzel ◽  
James M. Davis
Keyword(s):  
Decision Making ◽  
Distance Measure ◽  
Computer Time ◽  
Analysis Data ◽  
Velocity Analysis ◽  
Graph Theoretic ◽  
Complex Decision Making ◽  
Complex Decision ◽  
Complex Constraints ◽  
Interval Velocities

Extensive velocity analysis interpretation can impose a substantial man‐hour cost. A computer‐implemented technique is described which edits the velocity analysis data, thereby reducing the interpreter’s task. The technique uses graph theory to simulate the complex decision‐making inherent in the interpreter’s method of velocity analysis interpretation. The heart of the technique lies in defining a distance measure between candidate time‐velocity points from the velocity analysis. This metric is a function of the specific and potentially complex constraints imposed by the interpreter and of the weighted separation of the points. The graph theoretic techniques employed use the metric to join and, hence, select appropriate points from the candidate points while rejecting those which are invalid. Additional editing, based in part on implied interval velocities, further reduces the bulk of data presented to the interpreter. The method makes efficient use of computer time and has yielded encouraging results, as demonstrated by examples.

scholarly journals Cosine Distance Measure between Neutrosophic Hesitant Fuzzy Linguistic Sets and Its Application in Multiple Criteria Decision Making

Symmetry ◽  
2018 ◽  
Vol 10 (11) ◽  
pp. 602 ◽  
Author(s):  
Donghai Liu ◽  
Xiaohong Chen ◽  
Dan Peng
Keyword(s):  
Distance Measure ◽  
Multiple Criteria Decision Making ◽  
Point Of View ◽  
Scale Function ◽  
Topsis Method ◽  
Linguistic Distance ◽  
Linguistic Term ◽  
Linguistic Scale Function ◽  
Cosine Distance ◽  
Fuzzy Linguistic

This paper proposes a neutrosophic hesitant fuzzy linguistic term set (NHFLTS) based on hesitant fuzzy linguistic term set (HFLTS) and neutrosophic set (NS), which can express the inconsistent and uncertainty information flexibly in multiple criteria decision making problems. The basic operational laws of NHFLTS based on linguistic scale function are also discussed. Then we propose the generalized neutrosophic hesitant fuzzy linguistic distance measure and discuss its properties. Furthermore, a new similarity measure of NHFLTS combines the generalized neutrosophic hesitant fuzzy linguistic distance measure and the cosine function is given. A corresponding cosine distance measure between NHFLTSs is proposed according to the relationship between the similarity measure and the distance measure, and we develop the technique for order preference by similarity to an ideal solution (TOPSIS) method to the obtained cosine distance measure. The main advantages of the proposed NHFLTS is defined on linguistic scale function, the decision makers can flexibly convert the linguistic information to semantic values, and the proposed cosine distance measure between NHFLTSs with TOPSIS method can deal with the related decision information not only from the point of view of algebra, but also from the point of view of geometry. Finally, the reasonableness and effectiveness of the proposed method is demonstrated by the illustrative example, which is also compared to the other existing methods.

scholarly journals The Linguistic Picture Fuzzy Set and Its Application in Multi-Criteria Decision-Making: An Illustration to the TOPSIS and TODIM Methods Based on Entropy Weight

Symmetry ◽  
2020 ◽  
Vol 12 (7) ◽  
pp. 1170
Author(s):  
Donghai Liu ◽  
Yan Luo ◽  
Zaiming Liu
Keyword(s):  
Decision Making ◽  
Fuzzy Set ◽  
Distance Measure ◽  
Entropy Method ◽  
Weighted Averaging ◽  
Multi Criteria Decision Making ◽  
Entropy Weight ◽  
Weighted Distance ◽  
Operation Rules ◽  
Picture Fuzzy Set

The paper considers the multi-criteria decision-making problem based on linguistic picture fuzzy information. Firstly, we propose the concept of linguistic picture fuzzy set(LPFS), where the positive-membership, the neutral-membership and the negative-membership are represented by linguistic variables, and its operation rules are also discussed. The linguistic picture fuzzy weighted averaging (LPFWA) operator and linguistic picture fuzzy weighted geometric (LPFWG) operator are developed based on the proposed operation rules. Secondly, we propose the generalized weighted distance measure, the generalized weighted Hausdorff distance measure, and the generalized hybrid weighted distance measure between LPFSs and discuss their properties. Thirdly, we extend the technique for order of preference by similarity to the ideal solution (TOPSIS) method and the TODIM (an acronym in Portuguese of interactive and multi-criteria decision-making) method to the proposed distance measure, and the linguistic picture fuzzy entropy method is proposed to calculate the weights of the criteria. Finally, an illustrative example is given to verify the feasibility and effectiveness of the proposed methods, the comparative analysis with other existing methods and sensitivity analysis of the proposed methods are also discussed.

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