Results 1 to 10 of about 6,948,369 (332)

A novel approach based on rough set theory for analyzing information disorder. [PDF]

Appl Intell (Dordr), 2023
Gaeta A, Loia V, Lomasto L, Orciuoli F.
europepmc   +3 more sources

Enhancing museum collection images with fuzzy set guided convolutional neural network: A novel approach leveraging fuzzy set theory. [PDF]

PLoS One
Li M, Ren L.
europepmc   +2 more sources

The Neutrosophic Axial Set Theory [PDF]

Neutrosophic Sets and Systems, 2022
We presented in this paper a new concept of sets that we launched it neutrosophic axial sets. These sets are considered as generalization of neutrosophic sets. The union relationships, intersection, union, belonging and other concepts were built on these
Mustafa Hasan Hadi, L.A.A. Al-Swidi
doaj   +1 more source

On the axiom of choice [PDF]

ریاضی و جامعه, 2022
In this article, we have a brief historical overview of the facts around the axiom of choice (AC) in set theory. In this regard, we will state some of the most important equivalents of AC and also some of the weaker forms of AC.
سید محمد امین خاتمی
doaj   +1 more source

Applying Set Theory

Axioms, 2021
We prove some results in set theory as applied to general topology and model theory. In particular, we study ℵ1-collectionwise Hausdorff, Chang Conjecture for logics with Malitz-Magidor quantifiers and monadic logic of the real line by odd/even Cantor ...
Saharon Shelah
doaj   +1 more source

STUDENTS’ WAYS OF UNDERSTANDING AND THINKING BASED ON HAREL’S THEORY IN SOLVING SET PROBLEMS

JOHME: Journal of Holistic Mathematics Education, 2023
Ways of thinking (WoT) and Ways of Understanding (WoU) are important in learning mathematics. This study aims to analyze the characteristics of students' ways of thinking (WoT) and ways of understanding (WoU) when solving set problems.
Christina Monika Samosir, Tatang Herman
doaj   +1 more source

Boolean-Valued Set-Theoretic Systems: General Formalism and Basic Technique

Mathematics, 2021
This article is devoted to the study of the Boolean-valued universe as an algebraic system. We start with the logical backgrounds of the notion and present the formalism of extending the syntax of Boolean truth values by the use of definable symbols ...
Alexander Gutman
doaj   +1 more source

A Decision-making Approach for Choosing a Reliable Product under the Hesitant Fuzzy Environment via a Novel Distance Measure

Vikalpa, 2020
Executive Summary In the contemporary time, the reliability of any product has become a big issue from the customer’s perspective due to exponentially mushrooming markets of electronics and digital gadgets.
Palash Dutta, Rupjit Saikia
doaj   +1 more source

A Finitely Axiomatized Non-Classical First-Order Theory Incorporating Category Theory and Axiomatic Set Theory

Axioms, 2021
It is well known that Zermelo-Fraenkel Set Theory (ZF), despite its usefulness as a foundational theory for mathematics, has two unwanted features: it cannot be written down explicitly due to its infinitely many axioms, and it has a countable model due ...
Marcoen J. T. F. Cabbolet
doaj   +1 more source

The World Is Not a Theorem

Entropy, 2021
The evolution of the biosphere unfolds as a luxuriant generative process of new living forms and functions. Organisms adapt to their environment, exploit novel opportunities that are created in this continuous blooming dynamics.
Stuart Kauffman, Andrea Roli
doaj   +1 more source