Confidence levels based Pythagorean fuzzy aggregation operators and its application to decision-making process

2017 ◽  
Vol 23 (4) ◽  
pp. 546-571 ◽  
Author(s):  
Harish Garg
Keyword(s):  
Decision Making ◽  
Aggregation Operators ◽  
Decision Making Process ◽  
Confidence Levels ◽  
Fuzzy Aggregation

Pythagorean cubic fuzzy aggregation information based on confidence levels and its application to multi-criteria decision making process

2019 ◽  
Vol 36 (6) ◽  
pp. 5669-5683 ◽  
Author(s):  
Faisal Khan ◽  
Saleem Abdullah ◽  
Tariq Mahmood ◽  
Muhammad Shakeel ◽  
Muhammad Rahim ◽  
...  
Keyword(s):  
Decision Making ◽  
Decision Making Process ◽  
Multi Criteria Decision Making ◽  
Confidence Levels ◽  
Fuzzy Aggregation

scholarly journals Complex pythagorean fuzzy aggregation operators based on confidence levels and their applications

2021 ◽  
Vol 19 (1) ◽  
pp. 1078-1107
Author(s):  
Tahir Mahmood ◽  
◽  
Zeeshan Ali ◽  
Kifayat Ullah ◽  
Qaisar Khan ◽  
...  
Keyword(s):  
Decision Making ◽  
Sensitivity Analysis ◽  
Comparative Analysis ◽  
Aggregation Operators ◽  
Weighted Averaging ◽  
Confidence Levels ◽  
Ordered Weighted Averaging ◽  
Operational Laws ◽  
Fuzzy Aggregation ◽  
Multi Attribute Decision Making

<abstract> <p>The most important influence of this assessment is to analyze some new operational laws based on confidential levels (CLs) for complex Pythagorean fuzzy (CPF) settings. Moreover, to demonstrate the closeness between finite numbers of alternatives, the conception of confidence CPF weighted averaging (CCPFWA), confidence CPF ordered weighted averaging (CCPFOWA), confidence CPF weighted geometric (CCPFWG), and confidence CPF ordered weighted geometric (CCPFOWG) operators are invented. Several significant features of the invented works are also diagnosed. Moreover, to investigate the beneficial optimal from a large number of alternatives, a multi-attribute decision-making (MADM) analysis is analyzed based on CPF data. A lot of examples are demonstrated based on invented works to evaluate the supremacy and ability of the initiated works. For massive convenience, the sensitivity analysis and merits of the identified works are also explored with the help of comparative analysis and they're graphical shown.</p> </abstract>

Confidence levels under complex q-rung orthopair fuzzy aggregation operators and their applications

2022 ◽  
pp. 1-23
Author(s):  
Zeeshan Ali ◽  
Tahir Mahmood ◽  
Kifayat Ullah ◽  
Ronnason Chinram
Keyword(s):  
Decision Making ◽  
Sensitivity Analysis ◽  
Aggregation Operators ◽  
Weighted Averaging ◽  
Crystalline Solid ◽  
Crystalline Solids ◽  
Confidence Levels ◽  
Ordered Weighted Averaging ◽  
Fuzzy Aggregation ◽  
The Family

The major contribution of this analysis is to analyze the confidence complex q-rung orthopair fuzzy weighted averaging (CCQROFWA) operator, confidence complex q-rung orthopair fuzzy ordered weighted averaging (CCQROFOWA) operator, confidence complex q-rung orthopair fuzzy weighted geometric (CCQROFWG) operator, and confidence complex q-rung orthopair fuzzy ordered weighted geometric (CCQROFOWG) operator and invented their feasible properties and related results. Future more, under the invented operators, we diagnosed the best crystalline solid from the family of crystalline solids with the help of the opinion of different experts in the environment of decision-making strategy. Finally, to demonstrate the feasibility and flexibility of the invented works, we explored the sensitivity analysis and graphically shown of the initiated works.

scholarly journals A New Ranking Methodology for Pythagorean Trapezoidal Uncertain Linguistic Fuzzy Sets Based on Einstein Operations

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 440 ◽  
Author(s):  
Arshad Khan ◽  
Saleem Abdullah ◽  
Muhammad Shakeel ◽  
Faisal Khan ◽  
Noor Amin ◽  
...  
Keyword(s):  
Decision Making ◽  
Group Decision ◽  
Aggregation Operators ◽  
Weighted Averaging ◽  
Decision Making Process ◽  
Ordered Weighted Averaging ◽  
Operational Laws ◽  
Multiple Attribute ◽  
Fuzzy Aggregation ◽  
Einstein Operations

In this article, we proposed new Pythagorean trapezoidal uncertain linguistic fuzzy aggregation information—namely, the Pythagorean trapezoidal uncertain linguistic fuzzy Einstein weighted averaging (PTULFEWA) operator, the Pythagorean trapezoidal uncertain linguistic fuzzy Einstein ordered weighted averaging (PTULFEOWA) operator, and the Pythagorean trapezoidal uncertain linguistic fuzzy Einstein hybrid weighted averaging (PTULFEHWA) operator—using the Einstein operational laws. We studied some important properties of the suggested aggregation operators and showed that the PTULFEHWA is more general than the other proposed operators, which simplifies these aggregation operators. Furthermore, we presented a multiple attribute group decision making (MADM) process for the proposed aggregation operators under the Pythagorean trapezoidal uncertain linguistic fuzzy (PTULF) environment. A numerical example was constructed to determine the effectiveness and practicality of the proposed approach. Lastly, a comparative analysis was performed of the presented approach with existing approaches to show that the proposed method is consistent and provides more information that may be useful for complex problems in the decision-making process.

scholarly journals Multicriteria q-Rung Orthopair Fuzzy Decision Analysis: A Novel Approach Based on Archimedean Aggregation Operators with the Confidence Levels

2022 ◽  
Author(s):  
Yabin Shao ◽  
Ning Wang ◽  
Zengtai Gong
Keyword(s):  
Decision Making ◽  
Decision Maker ◽  
Uncertain Data ◽  
Aggregation Operators ◽  
Weighted Averaging ◽  
Confidence Levels ◽  
Novel Approach ◽  
Fuzzy Aggregation ◽  
Multicriteria Group Decision Making ◽  
The Impact

Abstract The confidence levels can reduce the influence of the unreasonable evaluation value was given by the decision maker on the decision-making results. The Archimedean t-norm and t-conorm (ATS) also have many advantages for the processing of uncertain data. Under this environment, the confidence q-rung orthopair fuzzy aggregation operators based on ATS is one of the most successful extensions of confidence q-rung orthopair fuzzy numbers (Cq-ROFNs) in which decrease the deviation caused by the subjective perspective of the decision maker in the multicriteria group decision-making (MCGDM) problems. In this paper, we propose weighted, ordered weighted averaging aggregation operators and weighted, ordered weighted geometric aggregation operators based on ATS, respectively. Moreover, the properties and four specific forms associated with aggregation operators are also investigated. In this study, a novel MCGDM approach is introduced by using the proposed operator. A reasonable example is proposed and compared the results which are obtained by our operators and that in existing literature, so as to verify the rationality and flexible of our method. From the study, we concluded that the proposed method can reduce the impact of extreme data, and makes decision-making results more reasonable by considering the attitudes of decision-makers.

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