Distance Measure and Correlation Coefficient for Linguistic Hesitant Fuzzy Sets and Their Application

Informatica ◽  
2017 ◽  
Vol 28 (2) ◽  
pp. 237-268 ◽  
Author(s):  
Jian Guan ◽  
Dao Zhou ◽  
Fanyong Meng
Keyword(s):  
Fuzzy Sets ◽  
Correlation Coefficient ◽  
Distance Measure ◽  
Hesitant Fuzzy Sets

scholarly journals A Consistency Check Method for Trusted Hesitant Fuzzy Sets with Confidence Levels Based on a Distance Measure

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Huimin Xiao ◽  
Meiqi Wang ◽  
Xiaoning Xi
Keyword(s):  
Fuzzy Sets ◽  
Distance Measure ◽  
Consistency Check ◽  
Hesitant Fuzzy Sets ◽  
Numerical Examples ◽  
Confidence Levels ◽  
Check Method ◽  
The Difference

This paper proposes a consistency check method for hesitant fuzzy sets with confidence levels by employing a distance measure. Firstly, we analyze the difference between each fuzzy element and its corresponding attribute comprehensive decision value and then obtain a comprehensive distance measure for each attribute. Subsequently, by taking the relative credibility as the weight, we assess the consistency of hesitant fuzzy sets. Finally, numerical examples are put forward to verify the effectiveness and reliability of the proposed method.

Clustering within the Framework of Hesitant Fuzzy Sets

2014 ◽  
Vol 668-669 ◽  
pp. 1143-1146
Author(s):  
Yi Zhi Wang ◽  
Ying Jun Zhang ◽  
Lan Dong
Keyword(s):  
Fuzzy Sets ◽  
Correlation Coefficient ◽  
Matrix Composition ◽  
Clustering Method ◽  
Hesitant Fuzzy Sets ◽  
Correlation Relation ◽  
Numerical Example ◽  
Clustering Problem ◽  
Fuzzy Environment ◽  
Relation Matrix

In this paper, we propose a variety of correlation coefficient measures for hesitant fuzzy sets (HFSs) and investigate their properties. Moreover, we utilize the concepts of correlation relation matrix, composition matrix and equivalent correlation relation matrix to deal with the clustering problem under hesitant fuzzy environment. Finally, a numerical example is utilized to validate the proposed correlation coefficient measures and the clustering method.

Synthetic Correlation Coefficient Between Hesitant Fuzzy Sets with Applications

2018 ◽  
Vol 20 (6) ◽  
pp. 1968-1985 ◽  
Author(s):  
Xin Guan ◽  
Guidong Sun ◽  
Xiao Yi ◽  
Zheng Zhou
Keyword(s):  
Fuzzy Sets ◽  
Correlation Coefficient ◽  
Hesitant Fuzzy Sets

scholarly journals Modelling Uncertainties in Multi-Criteria Decision Making using Distance Measure and TOPSIS for Hesitant Fuzzy Sets

2017 ◽  
Vol 7 (2) ◽  
pp. 103-109 ◽  
Author(s):  
Ismat Beg ◽  
Tabasam Rashid
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Distance Measure ◽  
Fuzzy Data ◽  
Multi Criteria Decision Making ◽  
Ideal Solution ◽  
Hesitant Fuzzy Sets ◽  
New Approach ◽  
Order Preference ◽  
Modelling Uncertainties

Abstract A notion for distance between hesitant fuzzy data is given. Using this new distance notion, we propose the technique for order preference by similarity to ideal solution for hesitant fuzzy sets and a new approach in modelling uncertainties. An illustrative example is constructed to show the feasibility and practicality of the new method.

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