
T (+98) 23 352 20220
Email: international@du.ac.ir
Damghan University
University Blvd, Damghan, IR
Associate Professor of Applied Mathematics
DOI: 10.1016/j.ins.2018.10.061
AUTHOR KEYWORDS: Bipolar fuzzy relation equations; Linear optimization; Max-min composition operator; Maximal elements
INDEX KEYWORDS: Artificial intelligence; Software engineering, Bipolar fuzzy relations; Equality constraints; Linear optimization; Max-min; Max-min composition; Maximal elements, Linear programming
PUBLISHER: Elsevier Inc.
DOI: 10.1007/s40995-016-0108-6
AUTHOR KEYWORDS: Fuzzy optimization; Fuzzy relation inequality; Linear fractional programming problem; Max-Hamacher composition
PUBLISHER: Springer International Publishing
DOI: 10.22111/ijfs.2018.3762
AUTHOR KEYWORDS: Bipolar fuzzy relation equations; Genetic algorithm; Max-min composition; Nonlinear optimization
PUBLISHER: University of Sistan and Baluchestan
DOI: 10.1007/s00500-014-1464-9
AUTHOR KEYWORDS: Max-pseudo-t-norm composition; Maximum solution; Minimal solution; Mixed fuzzy relation inequality; Non-convex optimization
INDEX KEYWORDS: Constraint theory; Convex optimization; Linear programming; Mathematical operators; Optimization, Composition operators; Fuzzy relations; Inequality constraint; Linear objective functions; Minimal solutions; Nonconvex optimization; Pseudo-t-norm; Sufficient and necessary condition, Problem solving
PUBLISHER: Springer Verlag
DOI: 10.1016/j.cie.2014.03.024
AUTHOR KEYWORDS: Fuzzy relation inequality; Least square technique; Max-product composition; Minimal solution; Quadratic programming; Separable programming
INDEX KEYWORDS: Algorithms; Constraint theory; Quadratic programming, Fuzzy relations; Least-square techniques; Max-product composition; Minimal solutions; Modified simplex methods; Quadratic objective functions; Quadratic programming problems; Reliability engineering, Problem solving
PUBLISHER: Elsevier Ltd
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: 10.1016/j.ins.2011.04.012
AUTHOR KEYWORDS: Fuzzy relation equation; L°U-factorization; Max-product operator
INDEX KEYWORDS: Existence and uniqueness; Fuzzy relation equations; Max-product; Max-product composition; Minimal solutions; Polynomial time complexity; Sufficient conditions; Triangular matrices, Algorithms; Computational complexity; Factorization; Fuzzy systems; Product development, Matrix algebra
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: 10.1016/j.cie.2011.09.012
AUTHOR KEYWORDS: Fuzzy relation inequality; Max-product composition; Modified simplex method; Non-convex optimization; Quadratic programming
INDEX KEYWORDS: Engineering design; Fuzzy comprehensive evaluation; Fuzzy mathematics; Fuzzy relations; Inequality constraint; Inventory management; Max-product; Max-product composition; Minimal solutions; Modified simplex methods; Nonconvex optimization; Numerical example; Optimal solutions; Portfolio selection; Quadratic function; Quadratic objective functions; Quadratic programming model; Quadratic programming problems; Real-world problem; Solution process; Sufficient conditions, Algorithms; Computer programming; Constraint theory; Convex optimization; Economics; Functions; Inventory control; Optimization; Quadratic programming, Problem solving
DOI: 10.1016/j.mcm.2010.01.006
AUTHOR KEYWORDS: Extension principle; Fuzzy relation inequality; Fuzzy set; Membership function; Non-convex optimization
INDEX KEYWORDS: Extension principles; Fuzzy relations; Fuzzy set membership; Inequality constraint; Linear objective functions; Lower and upper bounds; Mathematical program; Max-product; Max-product composition; New approaches; Nonconvex optimization; Optimization models; Optimization problems; Problem-based; Zadeh's extension principles, Constraint theory; Convex optimization; Fuzzy sets; Linear programming; Linearization; Optimization; Problem solving, Membership functions