scholarly journals Dual Extended Hesitant Fuzzy Sets

Symmetry ◽  
2019 ◽  
Vol 11 (5) ◽  
pp. 714 ◽  
Author(s):  
José Carlos R. Alcantud ◽  
Gustavo Santos-García ◽  
Xindong Peng ◽  
Jianming Zhan
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Natural Extension ◽  
Score Function ◽  
Hesitant Fuzzy Set ◽  
Fuzzy Decision Making ◽  
Fuzzy Decision ◽  
Hesitant Fuzzy Sets ◽  
Weight Score ◽  
Decision Making Problem

Hesitant fuzzy sets extend fuzzy sets by considering many-valued sets of membership degrees. Real applications validate this model and decision making approaches of various forms permit to act in a flexible manner. If we can avail ourselves of hesitant information on non-membership degrees too, then dual hesitant fuzzy sets provide a natural extension of both hesitant fuzzy sets and intuitionistic fuzzy sets. This article defines the concept of dual extended hesitant fuzzy set as the combination of extended hesitant fuzzy sets with dual hesitant fuzzy sets. Its basic algebraic properties are set forth, and the model is linked to other successful models in the literature. We also define a comparison law for the prioritization of elements described in this new framework. Moreover, we present an algorithm to solve the dual extended hesitant fuzzy decision making problem by a weight score function. Finally, the feasibility of this approach is demonstrated by the evaluation of big data industries with an effectiveness test.

scholarly journals Hesitant Fuzzy Decision-Making Method Based on Correlation Coefficient under Confidence Levels with Application to Multisensor Electronic Reconnaissance

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Chuan-Yang Ruan
Keyword(s):  
Decision Making ◽  
Correlation Coefficient ◽  
Correlation Coefficients ◽  
Fuzzy Decision Making ◽  
Fuzzy Decision ◽  
Hesitant Fuzzy Sets ◽  
Confidence Levels ◽  
Attribute Weights ◽  
Decision Making Problem ◽  
The Ideal

In this paper, we focus on the hesitant fuzzy decision-making method based on correlation coefficient under confidence levels. Firstly, we propose several correlation coefficients based on confidence levels, and based on the correlation coefficient between attribute-evaluated values and the ideal values, several optimal attribute weights models are constructed. Secondly, we have defined the concepts of module, weight module, projection, and weighted projection in hesitant fuzzy sets on account of the projection theory. Finally, on the strength of our research results above, we construct a hesitant fuzzy multiattribute decision-making method and apply it to the multiattribute decision-making problem in multisensor electronic reconnaissance. Comparative analyses are made via simulation to test the rationality and validity of the proposed method.

Dual Hesitant Fuzzy Information Aggregation in Decision Making

2013 ◽  
Vol 389 ◽  
pp. 854-859 ◽  
Author(s):  
Hai Bin Huang ◽  
Li Na Cai ◽  
Peng Chao Cai
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Information Aggregation ◽  
Decision Makers ◽  
Weighted Averaging ◽  
Fuzzy Decision Making ◽  
Fuzzy Evaluation ◽  
Fuzzy Decision ◽  
Hesitant Fuzzy Sets ◽  
Evaluation Information

As an extension of hesitant fuzzy sets, dual hesitant fuzzy sets can depict the attitude when decision makers give their certain or uncertain hesitant fuzzy evaluation information. In this paper, we develop the dual hesitant fuzzy ordered weighted averaging (DHFOWA) operator and the dual hesitant fuzzy ordered weighted geometric (DHFOWG) operator, study their properties, utilize them to aggregate dual hesitant fuzzy decision making information and verify their effectiveness and correctness.

Cubic Hesitant Fuzzy Sets and Their Applications to Multi Criteria Decision Making

2016 ◽  
Vol 5 (1) ◽  
pp. 19 ◽  
Author(s):  
Faisal Mehmood ◽  
Tahir Mahmood ◽  
Qaisar Khan
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Fuzzy Set ◽  
Weighted Averaging ◽  
Hesitant Fuzzy Set ◽  
Multi Criteria Decision Making ◽  
Hesitant Fuzzy Sets ◽  
Decision Making Problem

In this paper we introduced cubic hesitant fuzzy set and defined internal (external) cubic hesitant fuzzy set, P(R)-union and P(R)-intersection of cubic hesitant fuzzy sets. Furthermore we defined P(R)-addition and P(R)-multiplication of cubic hesitant fuzzy sets. By using the defined operations of cubic hesitant fuzzy sets we proved their different results. We also defined R-weighted averaging and R-weighted geometric operators for cubic hesitant fuzzy sets and practiced it in multi-criteria decision making problem.

scholarly journals Novel Parameterized Distance Measures on Hesitant Fuzzy Sets with Credibility Degree and Their Application in Decision-Making

Symmetry ◽  
2018 ◽  
Vol 10 (11) ◽  
pp. 557 ◽  
Author(s):  
Jiaru Li ◽  
Fangwei Zhang ◽  
Qiang Li ◽  
Jing Sun ◽  
Janney Yee ◽  
...  
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Cardinal Number ◽  
Decision Makers ◽  
Distance Measures ◽  
Hesitant Fuzzy Set ◽  
Hesitant Fuzzy Sets ◽  
The Subject ◽  
The Relationship

The subject of this study is to explore the role of cardinality of hesitant fuzzy element (HFE) in distance measures on hesitant fuzzy sets (HFSs). Firstly, three parameters, i.e., credibility factor, conservative factor, and a risk factor are introduced, thereafter, a series of novel distance measures on HFSs are proposed using these three parameters. These newly proposed distance measures handle the relationship between the cardinal number and the element values of hesitant fuzzy set well, and are suitable to combine subjective and objective decision-making information. When using these functions, decision makers with different risk preferences are allowed to give different values for these three parameters. In particular, this study transfers the hesitance degree index to a credibility of the values in HFEs, which is consistent with people’s intuition. Finally, the practicability of the newly proposed distance measures is verified by two examples.

scholarly journals Fuzzy sets and fuzzy decision making in nutrition

1997 ◽  
Vol 51 (5) ◽  
pp. 286-296 ◽  
Author(s):  
B Wirsam ◽  
A Hahn ◽  
EO Uthus ◽  
C Leitzmann
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Fuzzy Decision Making ◽  
Fuzzy Decision
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