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International journal of intelligent systems, ISSN 0884-8173, 2018, Volume 33, Issue 5, pp. 1043 - 1070
The Maclaurin symmetric mean (MSM) operator is a classical mean type aggregation operator used in modern information fusion theory, which is suitable to aggregate numerical values... 
GEOMETRIC AGGREGATION OPERATORS | TOPSIS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | SETS | ENTROPY | Decision-making | Fuzzy logic | Fuzzy sets | Operators | Decision making | Multisensor fusion | Data integration | Feasibility studies | Comparative analysis
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2018, Volume 2018, Issue 1, pp. 1 - 6
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... 
Positive linear map | Weighted geometric operator mean | Weighted arithmetic operator mean | Analysis | Operator inequality | Mathematics, general | Mathematics | Applications of Mathematics | 47A63 | 47A30 | MATHEMATICS | MATHEMATICS, APPLIED | Inequalities | Arithmetic | Research
Journal Article
Linear & multilinear algebra, ISSN 1563-5139, 2018, Volume 67, Issue 11, pp. 2253 - 2281
We present several Ando-Hiai type inequalities for n-variable operator means for positive invertible operators... 
Ando-Hiai inequality | generalized Kantorovich constant | Karcher mean | power mean | geometric mean | Operator mean | Ando–Hiai inequality | MATRIX POWER | MATHEMATICS | Inequalities
Journal Article
International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems, ISSN 0218-4885, 04/2009, Volume 17, Issue 2, pp. 251 - 267
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 11/2014, Volume 461, pp. 123 - 138
.... As a main application of the theory we consider geometric means of k operator variables extending the geometric mean of k commuting operators and the geometric mean of two arbitrary positive definite matrices... 
Regular operator mapping | Perspective | Multivariate geometric mean | MATHEMATICS, APPLIED | DEFINITE MATRICES
Journal Article
Journal Article
Journal of inequalities and applications, ISSN 1029-242X, 2018, Volume 2018, Issue 1, pp. 1 - 9
This note aims to generalize the reverse weighted arithmetic–geometric mean inequality of n positive invertible operators due to Lawson and Lim... 
Lawson–Lim geometric mean | Kantorovich constant | 15A45 | Analysis | Ando–Li–Mathias geometric mean | Mathematics, general | Mathematics | 47A64 | Applications of Mathematics | Karcher mean | 47A63 | MATHEMATICS | MATHEMATICS, APPLIED | Ando-Li-Mathias geometric mean | KANTOROVICH INEQUALITY | Lawson-Lim geometric mean | Operators | Research
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 10/2014, Volume 459, pp. 342 - 356
For −1≤t≤1, Lim–Pálfia defined a new family of operator power means of positive definite matrices and subsequently by Lawson... 
Thompson metric | Operator geometric mean | Power mean | Positive operator | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES
Journal Article
Proceedings of the National Academy of Sciences - PNAS, ISSN 1091-6490, 2013, Volume 110, Issue 39, pp. 15626 - 15632
.... In this paper, we show that this mean extends, in its general weighted form, to the infinite-dimensional setting of positive operators on a Hubert space and retains most of its attractive properties... 
Riemann manifold | Algebra | Geometric mean | Subalgebras | Linear transformations | Hilbert spaces | Matrices | Weighted averages | Curvature | Riemannian manifold | Hilbert-Schmidt algebra | Thompson metric | CONVEXITY | MULTIDISCIPLINARY SCIENCES | Manifolds (Mathematics) | Research | Operator theory | Least squares | Physical Sciences | Hilbert–Schmidt algebra
Journal Article
Soft computing (Berlin, Germany), ISSN 1433-7479, 2018, Volume 23, Issue 11, pp. 3869 - 3886
Journal Article
Linear & multilinear algebra, ISSN 1563-5139, 2015, Volume 64, Issue 9, pp. 1687 - 1695
We prove some refinements of a reverse AM-GM operator inequality due to M. Lin [Studia Math. 2013;215:187-194]. In particular, we show the operator inequality... 
positive unital linear map | Primary: 47A63 | operator harmonic mean | reverse AM-GM operator inequality | operator arithmetic mean | operator geometric mean | Secondary: 47A60 | reverse AM–GM operator inequality | MATHEMATICS | Operators (mathematics) | Hilbert space | Algebra | Inequalities | Images
Journal Article
Asia-Pacific Journal of Operational Research, ISSN 0217-5959, 10/2015, Volume 32, Issue 5
...; moreover four linguistic hesitant fuzzy Heronian mean operators are proposed: the linguistic hesitant fuzzy arithmetic Heronian mean (LHFAHM) operator... 
geometric Heronian mean operator | linguistic hesitant fuzzy sets | arithmetic Heronian mean operator | Multi-criteria decision-making | DISTANCE | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | FUSION | POWER AGGREGATION OPERATORS | TERM SETS | INFORMATION | SIMILARITY MEASURES | TOPSIS
Journal Article
JOURNAL OF MATHEMATICAL INEQUALITIES, ISSN 1846-579X, 03/2019, Volume 13, Issue 1, pp. 227 - 249
In this paper we obtain some new additive refinements and reverses of Young's operator inequality... 
MATHEMATICS | MATHEMATICS, APPLIED | Holder-McCarthy operator inequality | arithmetic mean-geometric mean inequality | Young's inequality
Journal Article
Applied mathematical modelling, ISSN 0307-904X, 2013, Volume 37, Issue 7, pp. 5277 - 5285
Journal Article