- Rough Sets and Fuzzy Logic
- Advanced Algebra and Logic
- Fuzzy and Soft Set Theory
- Logic, Reasoning, and Knowledge
- Fuzzy Logic and Control Systems
- Polynomial and algebraic computation
- Multi-Criteria Decision Making
- Advanced Topics in Algebra
- Commutative Algebra and Its Applications
- Landslides and related hazards
- Traditional Chinese Medicine Analysis
- Advanced Numerical Analysis Techniques
- Quantum Mechanics and Applications
- Numerical Methods and Algorithms
- advanced mathematical theories
- Fuzzy Systems and Optimization
- Logic, programming, and type systems
- Chromatography in Natural Products
- Algebraic structures and combinatorial models
- Tunneling and Rock Mechanics
- Rock Mechanics and Modeling
- Advanced Operator Algebra Research
- Natural product bioactivities and synthesis
- Algebraic Geometry and Number Theory
Shaanxi Normal University
2009-2023
Zhejiang Medicine (China)
2022
Slovak Academy of Sciences
2012-2013
Mathematical Institute of the Slovak Academy of Sciences
2012-2013
Western University
2005
The standard approach for computing with an algebraic number is through the data of its irreducible minimal polynomial over some base field k. However, in typical tasks such as system solving, involving many numbers high degree, following this will require using probably costly factorization algorithms. Della Dora, Dicrescenzo and Duval introduced "dynamic evaluation" techniques (also termed "D5 principle") [3] a means to compute numbers, while avoiding factorization. Roughly speaking, leads...
Performing calculations modulo a set of relations is basic technique in algebra. For instance, computing the inverse an integer prime or complex number 3 + 2<i>t</i> relation &ell;<sup>2</sup> 1 = 0. Computing <i>S</i> containing more than one requires from to have some mathematical structure. <i>p</i> <i>x</i> <i>y</i> {<i>x</i><sup>2</sup> 1,<i>y</i><sup>2</sup> 1}...
Background: Xiaochaihu capsule is composed of seven traditional Chinese medicines. The pharmacopoeia only focuses on the quantitative detection baicalin, which cannot fully reflect quality preparation. Some medium polar components were used to establish fingerprint capsule, but there was no report strong components. Methods: A high performance liquid chromatography-corona charged aerosol technology a analysis method for capsules following an analytical by design approach. Definitive...
It is firstly proved that the multi-input-single-output (MISO) fuzzy systems based on interval-valued $R$- and $S$-implications can approximate any continuous function defined a compact set to arbitrary accuracy. A formula compute lower upper bounds number of sets needed achieve pre-specified approximation accuracy for an multivariate continuousfunction then presented. In addition, method design interval-valued fuzzy in order given with required approximation represented. Finally, two...
Abstract We introduce the definition of pseudoorthoalgebras and discuss some relationships between orthomodular lattices pseudoorthoalgebras. Then we study conditions that a pseudoeffect algebra is isomorphic to an “internal direct product” ideals generated by orthogonal principal elements. At last, give characterizations central elements in algebras.
We give one basis of the space super quantum measures on finite effect algebras with Riesz decomposition properties (RDP for short). Then we prove that and interference functions RDP are determined each other. At last, investigate relationships between diagonally positive signed in detail.
Abstract To propose an effective and accurate model for the prediction of shear strength rock mass joint, present study focuses on comparison different machine learning (ML) models, including support vector (SVM), decision tree (DT), random forest (RF), K-nearest neighbors (KNN), mixed logistic regression (MLR) models. The firefly algorithm (FA) was employed to tune hyper-parameters ML algorithms, using input parameters joint roughness, compressive strength, normal stress, friction angle....