Editorial Board
- Algebra and Number Theory Section
- Geometry and Topology Section
- Logic Section
- Mathematical Analysis Section
- Mathematical Physics Section
- Hilbert’s Sixth Problem Section
Please note that the order in which the Editors appear on this page is alphabetical, and follows the structure of the editorial board presented on the MDPI website under information for editors: editorial board responsibilities.
Members
Interests: general relativity and cosmology; computational physics; string theory
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Interests: metric space; fixed point theory; operator theory; summability and matrix transformations
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Interests: inverse problems; ill-posed problems; symmetry problems for PDE; scattering problems; DSM (dynamical systems method); stability theory; spectral theory; the NSP (Navier–Stokes problem)
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Interests: intelligent systems; fuzzy sets and systems; decision support systems; knowledge graphs; knowledge extraction; semantic web; machine learning
Interests: fuzzy decision making; discrete fuzzy numbers; z-numbers; fuzzy implication functions; aggregation function
Interests: mathematical physics with applications in the formalism and principles of quantum mechanics; quantum control; quantum optics; classical analogues of quantum phenomena; geometry of quantum states; fractional formulation of quantum mechanics; supersymmetric quantum mechanics.
Interests: intelligent systems; quantum computing; quantum intelligent systems; evolutionary computation; fuzzy systems; neural networks; deep learning; computational intelligence
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Interests: dynamical systems, ordinary and partial differential equations nonlinear waves; localized phenomena homoclinic and heteroclinic phenomena nonlinear optics
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Interests: shadowing property; dynamical systems theory; bifurcation theory; ergodic theory; vector fields; chaos theory
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Interests: discrete differential geometry and its applications; mathematical imaging and vision; complex networks; quasi-conformal mappings and applications; topology and its applications
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Interests: fixed point theory in metric spaces; fuzzy clustering algorithms; fuzzy relations and their fuzzy calculus; fuzzy relation equations; fuzzy relational systems
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Interests: nonlinear analysis; mathematical analysis; fixed point theory; optimization
Interests: qualitative theory of differential equations and dynamical systems; classical mechanics; differential geometry and topology; differential and topological diagnostics; fractal theory; mathematical logic and informatics
Interests: positive solutions for nonlinear elliptic boundary value problems and applications; namely, existence, non-existence, multiplicity and uniqueness results
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Interests: Hom-algebra structures; non-commutative algebras; non-associative algebras; color Lie algebras; q-deformations of algebraic structures; twisted derivations and non-commutative differential calculus; quantum calculus and q-analysis; operator algebras and dynamical systems; matrix analysis and determinants; non-commutative analysis and non-commutative geometry; iterated function systems; fixed points theory and fractals; Spectral Matrix analysis; graphs and PageRank and rankning in networks
Interests: wave propagation in complex media; inverse problems; mathematical imaging; material sciences
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Interests: general topology; category theory; L-valued topological and algebraic structures; fuzzy sets; applications of fuzzy sets and fuzzy structures; many-valued logics
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Interests: real and complex analysis; fractional calculus and its applications; integral equations and transforms; higher transcendental functions and their applications; q-series and q-polynomials; analytic number theory; analytic and geometric Inequalities; probability and statistics; inventory modeling and optimization
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Interests: mathematical programming (stochastic programming, fractional programming, mathematical programming with inexact data, disjunctive programming); generalized convexity; mathematical modeling
Interests: fuzzy modeling; fuzzy rules; fuzzy inference systems; fuzzy relations; fuzzy relational equations
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Interests: applied harmonic analysis; graph signal processing; sampling
Interests: quantum logic; automaton logic; conventionality in relativity theory; intrinsic embedded observers; physical (in)determinism; physical random number generators; generalized probability theory
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Interests: representation and processing of imprecise information; intelligent decision support systems; data mining and knowledge discovery; fuzzy sets; intuicjonistic fuzzy sets
2. Institute de Ciencias Matemáticas (ICMAT), Madrid, Spain
Interests: applied mathematics; mathematical physics; number theory; statistical mechanics; statistics
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2. Mathematical Institute of the Serbian Academy of Sciences and Arts, Kneza Mihaila 36, 11001 Belgrade, Serbia
Interests: lattice theory; universal algebra; fuzzy set theory
2. Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, USA
3. Complexity Science Hub Vienna, Josefstädter Straße 39, 1080 Vienna, Austria
Interests: nonextensive statistical mechanics; foundations and applications of statistical mechanics; complex systems
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Interests: evaluation systems; multi-criteria decision analysis, organizational computing and impacts; medical Informatics; technology adoption and innovation
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Interests: optimization algorithms; swarm intelligence; bio-inspired algorithms; fuzzy logic; neural networks
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Interests: studies associated with the planet Mars; applications of the fractional calculation; numerical methods; non-linear wave equations
Interests: symmetry-derived algebraic methods for data analysis; symmetry studies; applications of algebraic methods to statistics and probability with applications in physics (optics); molecular biology (symbolic sequences)
* Associate Editor of Axioms from 2012 to 2021.
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