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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

Regular operator mappings and multivariate geometric means [PDF]

open access: yesLinear Algebra and its Applications, 2014
We introduce the notion of regular operator mappings of several variables generalising the notion of spectral function. This setting is convenient for studying maps more general than what can be obtained from the functional calculus, and it allows for ...
Hansen, Frank
core   +4 more sources

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   +2 more sources

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   +3 more sources

In-betweenness: a geometric monotonicity property for operator means

open access: yesLinear Algebra and its Applications, 2010
We introduce the notions of in-betweenness and monotonicity with respect to a metric, for operator means. These notions can be seen as generalising their natural counterpart for scalar means, and as a relaxation of the notion of geodesity. We exhibit two
Anderson   +9 more
core   +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

Some picture fuzzy mean operators and their applications in decision-making [PDF]

open access: yesJournal of Fuzzy Extension and Applications, 2022
Picture fuzzy set is the generalization of fuzzy set and intuitionistic fuzzy set. It is useful for handling uncertainty by considering the positive membership, neutral membership and negative membership degrees independently for each element of a ...
Hasan Mohammad Kamrul   +3 more
doaj   +1 more source

Operator spectral geometric versus geometric mean

open access: yesLinear and Multilinear Algebra, 2023
The coefficients in Theorem 2.2 and Corollary 2.3 have been changed.
Hamid Reza Moradi   +2 more
openaire   +2 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

An MCDM Method under Neutrosophic Cubic Fuzzy Sets with Geometric Bonferroni Mean Operator [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
Neutrosophic cubic fuzzy sets (NCFSs) involve interval valued and single valued neutrosophic sets, and are used to describe uncertainty or fuzziness in a more efficient way. Aggregation of neutrosopic cubic fuzzy information is crucial and necessary in
D. Ajay , Said Broumi , J. Aldring
doaj   +1 more source

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