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Further Improved Weighted Arithmetic-Geometric Operator Mean Inequalities [PDF]

open access: yesMathematics, 2019
The main purpose of this paper is to present some weighted arithmetic-geometric operator mean inequalities. These inequalities are refinements and generalizations of the corresponding results.
Jianming Xue, Xingkai Hu
doaj   +4 more sources

Weighted arithmetic–geometric operator mean inequalities [PDF]

open access: yesJournal of Inequalities and Applications, 2018
In this paper, we refine and generalize some weighted arithmetic–geometric operator mean inequalities due to Lin (Stud. Math. 215:187–194, 2013) and Zhang (Banach J. Math. Anal. 9:166–172, 2015) as follows: Let A and B be positive operators.
Jianming Xue
doaj   +3 more sources

Weighted integral inequalities with the geometric mean operator

open access: yesJournal of Inequalities and Applications, 2002
The geometric mean operator is defined by A precise two-sided estimate of the norm for , is given and some applications and extensions are pointed out.
Stepanov Vladimir D, Persson Lars-Erik
doaj   +5 more sources

Weighted inequalities for the Sawyer two-dimensional Hardy operator and its limiting geometric mean operator

open access: yesJournal of Inequalities and Applications, 2005
We consider and a corresponding geometric mean operator . E. T. Sawyer showed that the Hardy-type inequality could be characterized by three independent conditions on the weights.
Wedestig Anna
doaj   +3 more sources

NORMALIZED WEIGHTED GEOMETRIC BONFERRONI MEAN OPERATOR OF INTERVAL ROUGH NUMBERS – APPLICATION IN INTERVAL ROUGH DEMATEL-COPRAS MODEL

open access: yesFacta Universitatis. Series: Mechanical Engineering, 2018
This paper presents a new approach to the treatment of uncertainty and imprecision in multi-criteria decision-making based on interval rough numbers (IRN).
Dragan Pamučar   +3 more
doaj   +3 more sources

Cubic Spherical Neutrosophic Weighted Geometric Heronian Mean Operator for MCDM with Application to Fertilizer Selection [PDF]

open access: yesNeutrosophic Sets and Systems
This paper introduces the Cubic Spherical Neutrosophic Weighted Geometric Heronian Mean (CSNWGHM) operator to aggregating the Cubic Spherical Neutrosophic Set (CSNS) values.
S. Gomathi   +3 more
doaj   +2 more sources

Some complex probabilistic hesitant fuzzy aggregation operators and their applications to multi-attribute decision making [PDF]

open access: yesScientific Reports
As a generalization of complex fuzzy set (CFS), complex hesitation fuzzy set (CHFS) is a powerful tool to express two-dimensional fuzzy information, but it ignores the randomness that exists widely in real life.
Yanpo Yang   +3 more
doaj   +2 more sources

Invariance in a class of operations related to weighted quasi-geometric means [PDF]

open access: yesFuzzy Sets and Systems, 2021
Let $I\subset (0,\infty )$ be an interval that is closed with respect to the multiplication. The operations $C_{f,g}\colon I^{2}\rightarrow I$ of the form \begin{equation*} C_{f,g}\left( x,y\right) =\left( f\circ g\right) ^{-1}\left( f\left( x\right) \cdot g\left( y\right) \right) \text{,} \end{equation*} where $f,g$ are bijections of $I$ are ...
Devillet, Jimmy, Matkowski, Janusz
openaire   +4 more sources

T-Spherical Fuzzy Bonferroni Mean Operators and Their Application in Multiple Attribute Decision Making

open access: yesMathematics, 2022
To deal with complicated decision problems with T-Spherical fuzzy values in the aggregation process, T-Spherical fuzzy Bonferroni mean operators are developed by extending the Bonferroni mean and Dombi mean to a T-Spherical fuzzy environment.
Wei Yang, Yongfeng Pang
doaj   +1 more source

Dynamic Multi-Attribute Decision-Making Based on Interval-Valued Picture Fuzzy Geometric Heronian Mean Operators

open access: yesIEEE Access, 2022
For the dynamic multi-attribute decision-making problem, the decision information is usually given in the form of the interval-valued picture fuzzy number (IVPFN), and the attributes are also usually related to each other, a decision method based on the ...
Jian-Ping Fan, Heng Zhang, Mei-Qin Wu
doaj   +1 more source

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