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Some q-rung orthopair fuzzy Heronian mean operators in multiple attribute decision making

International journal of intelligent systems, ISSN 0884-8173, 2018, Volume 33, Issue 7, pp. 1426 - 1458

The generalized Heronian mean and geometric Heronian mean operators provide two aggregation operators that consider the interdependent phenomena among the aggregated arguments...

multiple attribute decision making | q‐rung orthopair fuzzy sets | Pythagorean fuzzy set | q‐rung orthopair fuzzy weighted geometric Heronian mean operator | enterprise resource planning system | q‐rung orthopair fuzzy generalized weighted Heronian mean operator | q‐rung orthopair 2‐tuple linguistic sets | q-rung orthopair fuzzy generalized weighted Heronian mean operator | q-rung orthopair fuzzy weighted geometric Heronian mean operator | q-rung orthopair 2-tuple linguistic sets | q-rung orthopair fuzzy sets | INFORMATION | LINGUISTIC AGGREGATION OPERATORS | RELATIONAL ANALYSIS METHOD | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | REPRESENTATION MODEL | SETS | EINSTEIN OPERATIONS | SIMILARITY MEASURES | TOPSIS | ENTROPY | Decision-making | Human resource departments | Computer programs | Fuzzy sets | Operators | Enterprise resource planning | Hierarchies | Decision making | Internet resources

multiple attribute decision making | q‐rung orthopair fuzzy sets | Pythagorean fuzzy set | q‐rung orthopair fuzzy weighted geometric Heronian mean operator | enterprise resource planning system | q‐rung orthopair fuzzy generalized weighted Heronian mean operator | q‐rung orthopair 2‐tuple linguistic sets | q-rung orthopair fuzzy generalized weighted Heronian mean operator | q-rung orthopair fuzzy weighted geometric Heronian mean operator | q-rung orthopair 2-tuple linguistic sets | q-rung orthopair fuzzy sets | INFORMATION | LINGUISTIC AGGREGATION OPERATORS | RELATIONAL ANALYSIS METHOD | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | REPRESENTATION MODEL | SETS | EINSTEIN OPERATIONS | SIMILARITY MEASURES | TOPSIS | ENTROPY | Decision-making | Human resource departments | Computer programs | Fuzzy sets | Operators | Enterprise resource planning | Hierarchies | Decision making | Internet resources

Journal Article

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Pythagorean Fuzzy Maclaurin Symmetric Mean Operators in Multiple Attribute Decision Making

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

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

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

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

In this paper, we propose an uncertain linguistic hybrid geometric mean (ULHGM) operator, which is based on the uncertain linguistic weighted geometric mean (ULWGM...

Aggregation | Uncertain linguistic hybrid geometric mean (ULHGM) operator | Uncertain linguistic variables | Multiple attribute group decision making | REPRESENTATION MODEL | multiple attribute group decision making | INFORMATION | SETS | CONSENSUS | uncertain linguistic hybrid geometric mean (ULHGM) operator | PREFERENCE RELATIONS | uncertain linguistic variables | AGGREGATION OPERATORS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Aggregation | Uncertain linguistic hybrid geometric mean (ULHGM) operator | Uncertain linguistic variables | Multiple attribute group decision making | REPRESENTATION MODEL | multiple attribute group decision making | INFORMATION | SETS | CONSENSUS | uncertain linguistic hybrid geometric mean (ULHGM) operator | PREFERENCE RELATIONS | uncertain linguistic variables | AGGREGATION OPERATORS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Journal Article

Computers & industrial engineering, ISSN 0360-8352, 2015, Volume 81, pp. 167 - 176

....•A new fuzzy geometric Bonferroni mean aggregation operator of IT2 FS is proposed.•Present a new method to handle FMAGDM problems under interval type-2 fuzzy environment...

Possibility mean value | Interval type-2 fuzzy sets | Geometric Bonferroni mean operator | Fuzzy multi-attributes group decision making | Geometric | Bonferroni mean operator | LINGUISTIC INFORMATION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | SETS | ENVIRONMENT | ENGINEERING, INDUSTRIAL | SOFTWARE-DEVELOPMENT | FUZZISTICS | AGGREGATION | Decision-making | Statistics | Methods | Fuzzy logic | Intervals | Operators | Decision making | Mathematical analysis | Fuzzy set theory | Agglomeration | Fuzzy

Possibility mean value | Interval type-2 fuzzy sets | Geometric Bonferroni mean operator | Fuzzy multi-attributes group decision making | Geometric | Bonferroni mean operator | LINGUISTIC INFORMATION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | SETS | ENVIRONMENT | ENGINEERING, INDUSTRIAL | SOFTWARE-DEVELOPMENT | FUZZISTICS | AGGREGATION | Decision-making | Statistics | Methods | Fuzzy logic | Intervals | Operators | Decision making | Mathematical analysis | Fuzzy set theory | Agglomeration | Fuzzy

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

Regular operator mapping | Perspective | Multivariate geometric mean | MATHEMATICS, APPLIED | DEFINITE MATRICES

Journal Article

International Journal of Fuzzy Systems, ISSN 1562-2479, 8/2017, Volume 19, Issue 4, pp. 997 - 1010

... 2-tuple linguistic aggregation operators: picture 2-tuple linguistic Bonferroni mean operator and picture...

Engineering | Picture 2-tuple linguistic set | Computational Intelligence | Picture 2-tuple linguistic geometric Bonferroni mean (P2TLGBM) operator | Artificial Intelligence (incl. Robotics) | Multiple attribute decision making | Picture 2-tuple linguistic Bonferroni mean (P2TLBM) operator | Picture 2-tuple linguistic weighted geometric Bonferroni mean (P2TLWGBM) operator | Operations Research, Management Science | Picture 2-tuple linguistic weighted Bonferroni mean (P2TLWBM) operator | Service outsourcing provider | Communications industry | INTUITIONISTIC FUZZY INFORMATION | SET | Picture 2-tuple linguistic geometric Bonferroni mean (P2TLGBM) operator | RISK | MODEL | RELATIONAL ANALYSIS METHOD | Picture 2-tuple linguistic set | Picture 2-tuple linguistic weighted geometric Bonferroni mean (P2TLWGBM) operator | Picture 2-tuple linguistic weighted Bonferroni mean (P2TLWBM) operator | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ACCURACY | Picture 2-tuple linguistic Bonferroni mean (P2TLBM) operator | METHODOLOGY | DEAL | AGGREGATION OPERATORS | AUTOMATION & CONTROL SYSTEMS

Engineering | Picture 2-tuple linguistic set | Computational Intelligence | Picture 2-tuple linguistic geometric Bonferroni mean (P2TLGBM) operator | Artificial Intelligence (incl. Robotics) | Multiple attribute decision making | Picture 2-tuple linguistic Bonferroni mean (P2TLBM) operator | Picture 2-tuple linguistic weighted geometric Bonferroni mean (P2TLWGBM) operator | Operations Research, Management Science | Picture 2-tuple linguistic weighted Bonferroni mean (P2TLWBM) operator | Service outsourcing provider | Communications industry | INTUITIONISTIC FUZZY INFORMATION | SET | Picture 2-tuple linguistic geometric Bonferroni mean (P2TLGBM) operator | RISK | MODEL | RELATIONAL ANALYSIS METHOD | Picture 2-tuple linguistic set | Picture 2-tuple linguistic weighted geometric Bonferroni mean (P2TLWGBM) operator | Picture 2-tuple linguistic weighted Bonferroni mean (P2TLWBM) operator | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ACCURACY | Picture 2-tuple linguistic Bonferroni mean (P2TLBM) operator | METHODOLOGY | DEAL | AGGREGATION OPERATORS | AUTOMATION & CONTROL SYSTEMS

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

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

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

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

...), the group decision-making methods based on some Bonferroni mean (BM) aggregation operators were developed...

Bonferroni mean | The intuitionistic uncertain linguistic variables | Multiple-attribute group decision making | Intuitionistic fuzzy set | Geometric Bonferroni mean | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Decision-making | Management science | Business schools

Bonferroni mean | The intuitionistic uncertain linguistic variables | Multiple-attribute group decision making | Intuitionistic fuzzy set | Geometric Bonferroni mean | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Decision-making | Management science | Business schools

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

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

Applied soft computing, ISSN 1568-4946, 2013, Volume 13, Issue 2, pp. 1235 - 1246

[Display omitted] ► The intuitionistic fuzzy geometric Heronian mean (IFGHM) operator is proposed...

Intuitionistic fuzzy geometric Heronian mean (IFGHM) | Intuitionistic fuzzy geometric weighted Heronian mean (IFGWHM) | Heronian mean (HM) | Intuitionistic fuzzy set (IFS) | Multi-criteria decision making | Intuitionistic fuzzy geometric weighted | Mean (IFGHM) | Heronian mean (IFGWHM) | Intuitionistic fuzzy geometric Heronian | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | DECISION-MAKING | SETS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Intuitionistic fuzzy geometric Heronian mean (IFGHM) | Intuitionistic fuzzy geometric weighted Heronian mean (IFGWHM) | Heronian mean (HM) | Intuitionistic fuzzy set (IFS) | Multi-criteria decision making | Intuitionistic fuzzy geometric weighted | Mean (IFGHM) | Heronian mean (IFGWHM) | Intuitionistic fuzzy geometric Heronian | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | DECISION-MAKING | SETS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 11/2017, Volume 533, pp. 418 - 427

Let Ψ1,…,Ψm be bounded sets of positive kernel operators on a Banach function space L...

Joint and generalized spectral radius | Bounded sets of operators | Hadamard–Schur geometric mean | Non-negative matrices | Hadamard–Schur product | Positive kernel operators | MATHEMATICS, APPLIED | SEQUENCE-SPACES | INEQUALITIES | THEOREM | NORMS | NONNEGATIVE MATRICES | FORMULA | MATHEMATICS | SEMIGROUPS | PRODUCTS | VERSION | Hadamard-Schur geometric mean | Hadamard-Schur product | Mechanical engineering

Joint and generalized spectral radius | Bounded sets of operators | Hadamard–Schur geometric mean | Non-negative matrices | Hadamard–Schur product | Positive kernel operators | MATHEMATICS, APPLIED | SEQUENCE-SPACES | INEQUALITIES | THEOREM | NORMS | NONNEGATIVE MATRICES | FORMULA | MATHEMATICS | SEMIGROUPS | PRODUCTS | VERSION | Hadamard-Schur geometric mean | Hadamard-Schur product | Mechanical engineering

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

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

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

...) operator and the uncertain linguistic geometric Bonferroni mean (ULGBM) operator for aggregating the uncertain linguistic information...

Multiple attribute decision making (MADM) | Uncertain linguistic variables | Bonferroni mean | Uncertain linguistic geometric Bonferroni mean (ULGBM) operator | Geometric Bonferroni mean | Uncertain linguistic Bonferroni mean (ULBM) operator | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | WEIGHTED AVERAGE | MODEL | AGGREGATION OPERATORS | Decision-making

Multiple attribute decision making (MADM) | Uncertain linguistic variables | Bonferroni mean | Uncertain linguistic geometric Bonferroni mean (ULGBM) operator | Geometric Bonferroni mean | Uncertain linguistic Bonferroni mean (ULBM) operator | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | WEIGHTED AVERAGE | MODEL | AGGREGATION OPERATORS | Decision-making

Journal Article