Axioms is dedicated to the foundations (structure and axiomatic basis, in particular) of mathematical theories, not only from a crisp or strictly classical sense, but also from a fuzzy and generalized sense. This includes the more innovative current scientific trends, devoted to discover and solve new challenging problems. The prime goal of Axioms is to publish first-class, original research articles under an open access policy with minimal fees for the authors. We would be pleased to welcome you as one of our authors.

Subject Areas

• Axiomatic theories in physics and in mathematics (for example, axiomatic theory of thermodynamics, and also either the axiomatic classical set theory or the axiomatic fuzzy set theory)

• Axiomatization, axiomatic methods, theorems, mathematical proofs

• Algebraic structures, field theory, group theory, topology, vector spaces

• Mathematical analysis

• Mathematical physics

• Mathematical logic, and non-classical logics, such as fuzzy logic, modal logic, non-monotonic logic. etc.

• Classical and fuzzy set theories

• Number theory

• Systems theory

• Classical measures, fuzzy measures, representation theory, and probability theory

• Graph theory

• Information theory

• Entropy

• Symmetry

• Differential equations and dynamical systems

• Relativity and quantum theories

• Mathematical chemistry

• Automata theory

• Mathematical problems of artificial intelligence

• Complex networks from a mathematical viewpoint

• Reasoning under uncertainty

• Interdisciplinary applications of mathematical theory