
T (+98) 23 352 20220
Email: international@du.ac.ir
Damghan University
University Blvd, Damghan, IR
Associate Professor of Informatics
Informatics
Thesis: Solving systems of polynomial equations with symmetries using SAGBI-Gröbner bases
Supervisors: Jean-Charles Faugère
Pierre-and-Marie-Curie (Paris VI) University, France
Mathematics
Shiraz University, Shiraz, Iran
Mathematics
Ahvaz University, Khuzestan, Iran
INDEX KEYWORDS: Equivalence classes; Inverse problems, Algebraic polynomials; Computational problem; Divisibility problem; Equivalence relations; Interval arithmetic; Interval coefficients; Interval polynomials; Mathematical science, Polynomials
PUBLISHER: Springer Netherlands
DOI: 10.3233/IFS-151801
AUTHOR KEYWORDS: characteristic sets; fuzzy polynomial systems; Polynomial systems; Wu's algorithm
INDEX KEYWORDS: Algebra; Algorithms; Parameter estimation, Algebraic method; Characteristic set; Finding solutions; Parametric forms; Polynomial equation; Polynomial systems; Solution procedure; Triangular sets, Polynomials
PUBLISHER: IOS Press
DOI: 10.1007/s40815-015-0033-4
AUTHOR KEYWORDS: Characteristic sets; Fuzzy polynomial systems; Polynomial systems; Wu's algorithm
INDEX KEYWORDS: Algorithms, Algebraic approaches; Characteristic set; Dual form; Fuzzy matrix; Polynomial systems; Real coefficients; Solution procedure; Wu's method, Polynomials
PUBLISHER: Springer Berlin Heidelberg
DOI: 10.1016/j.tcs.2015.01.045
AUTHOR KEYWORDS: F4 algorithm; F5 algorithm; Invariant ring; SAGBI-Gröbner basis
INDEX KEYWORDS: Algebra, Computer algebra systems; Invariant algorithms; Invariant ring; Permutation group, Algorithms
PUBLISHER: Elsevier
DOI: 10.4018/IJFSA.2015040101
AUTHOR KEYWORDS: Fuzzy numbers; Fuzzy surfaces; Gröbner bases; Level sets
PUBLISHER: IGI Global
DOI: 10.1007/s00500-014-1249-1
AUTHOR KEYWORDS: Eigenvalue method; Fuzzy numbers; Gröbner basis; Real solution; System of fuzzy polynomial equations
INDEX KEYWORDS: Eigenvalues and eigenfunctions; Fuzzy sets, Eigenvalue methods; Existence of Solutions; Fuzzy numbers; Polynomial equation; Real solutions; Solution set; Solution types; Sufficient and necessary condition, Polynomials
PUBLISHER: Springer Verlag
DOI: 10.3233/IFS-2012-0646
AUTHOR KEYWORDS: affine varieties; fully fuzzy polynomial equations systems; Fuzzy numbers; Gröbner bases
INDEX KEYWORDS: affine varieties; Basis property; Fuzzy numbers; Numerical example; Original systems; Polynomial equation; Positive solution, Fuzzy sets, Polynomials
DOI: 10.1016/j.ins.2012.07.029
AUTHOR KEYWORDS: F 4 algorithm; Faugère's algorithm; Fuzzy number; Gröbner basis; Lexicographical order; System of fuzzy polynomial equation
INDEX KEYWORDS: Actual environments; Engineering design process; Fuzzy numbers; Lexicographical order; Numerical example; Parametric forms; Polynomial equation; Triangular structures; Uncertainty modelling, Algorithms; Fuzzy sets; Fuzzy systems; Uncertainty analysis, Polynomials
DOI: 10.5560/zna.2013-0044
AUTHOR KEYWORDS: Ansatz Method; Gröbner Basis; Quantum Mechanics
AUTHOR KEYWORDS: Application of gr̈obner bases; Automatic geometric theorem proving; Cryptography; Gr̈obner bases; Graph coloring
INDEX KEYWORDS: Automatic geometric theorem proving; Geometric theorem proving; Graph coloring problem; Graph colorings; Geometric theorem proving; Graph coloring problem; Graph colorings, Cryptography; Problem solving; Theorem proving; Cryptography; Theorem proving, Graph theory; Graph theory
AUTHOR KEYWORDS: Gröbner basis; Invariant ring; Permutation groups; Reduction; SAGBI- Gröbner basis
INDEX KEYWORDS: Gaussian elimination; Invariant ring; matrix; Permutation group, Engineering; Reduction; Technology, Linear algebra
AUTHOR KEYWORDS: Algebraic curve cryptography; Discrete logarithm problem; Jacobian group; Miura curve
INDEX KEYWORDS: Algebraic curve cryptography; Discrete logarithm problems; Jacobian group; Miura curve, Algorithms; Cryptography; Number theory, Algebra; Algorithms
AUTHOR KEYWORDS: Algebraic curve cryptography; Discrete logarithm problem; Jacobian group; Miura curve
INDEX KEYWORDS: Algebraic curve cryptography; Discrete logarithm problems; Jacobian group; Miura curve, Algorithms; Cryptography; Number theory, Algebra