Results 81 to 90 of about 33,591 (180)

Heterogeneous Fuzzy Group Decision‐Making Model With Mixed Criteria

Advances in Fuzzy Systems, Volume 2026, Issue 1, 2026.
Organizational decisions, often originating from diverse groups of managers with varying criteria, encounter challenges due to the inherent ambiguity in human judgments, particularly those involving preferences. This paper proposes a nuanced solution using a heterogeneous fuzzy group decision‐making method, accommodating diverse criteria based on real ...
Akbar Karimi, Mohammad Anisseh, Farideh Sobhanifard, Yasar Becerikli   +3 more
wiley   +1 more source

Simultaneous Diophantine approximation

Duke Mathematical Journal, 1946
The simplest problems of Diophantine approximation relate to the approximation of a single irrational number 0 by rational numbers pjq, and the principal question is how small we can make the error 0 — pjq in relation to q for infinitely many approximations. It is well known that this question can be answered almost completely in terms of the continued
Davenport, H., Mahler, K.
openaire   +2 more sources

Diophantine Equation 41k2−nx+4kny=41k2+nz

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Let (a, b, c) be a primitive Pythagorean triple such that a2 + b2 = c2 with 2|b. In 1956, L. Jesmanowicz conjectured that, for any positive integer n, the equation (an)x + (bn)y = (cn)z has only the positive solution (x, y, z) = (2, 2, 2). In 1959, Lu Wenduan claimed that if n = 1 and (a, b, c) = (4k2 − 1, 4k, 4k2 + 1), then the conjecture is true ...
Nai-juan Deng, Ridi Huang, Francisco J. Garcia-Pacheco   +2 more
wiley   +1 more source

Fuzzy Decision Support Systems for Selection of NEA Detection Technologies Under Non-Linear Diophantine Fuzzy Hamacher Aggregation Information

IEEE Access
The Objectives of this study is to extend the concept of q-rung linear Diophantine fuzzy sets (q-RLDFSs), followed by the Near-Earth Asteroids (NEAs) deflection detector.
Maria Shams, Saleem Abdullah, Faisal Khan, Rifaqat Ali, Shakoor Muhammad   +4 more
doaj   +1 more source

A Study of Symbolic 2-Plithogenic Split-Complex Linear Diophantine Equations in Two Variables [PDF]

Neutrosophic Sets and Systems, 2023
The equation 𝐴𝑋 + 𝐵𝑌 = 𝐶 is called symbolic 2-plithogenic linear Diophantine equation with two variables if 𝐴, 𝐵, 𝑋, 𝑌, 𝐶 are symbolic 2-plithogenic split-complex integers.
Rama Asad Nadweh, Oliver Von Shtawzen, Ahmad Khaldi, Rozina Ali   +3 more
doaj  

Delving Into the Depths of the Properties and Behavior of Bipolar Pythagorean Neutrosophic Metric Spaces: A Theoretical Analysis

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper advances the theory of bipolar Pythagorean neutrosophic fuzzy (BPNF) sets by establishing their formalization within a topological and metric framework, while also demonstrating their role in decision‐making under uncertainty. The main contributions are as follows: (1) definition and characterization of BPNF topological spaces, providing a ...
Akiladevi Natarajan, Santhi Rathinasamy, Prasantha Bharathi Dhandapani, Md. Fayz-Al-Asad, Samy R. Mahmoud, Tareq Al-Shami   +5 more
wiley   +1 more source

Unsolvable diophantine problems [PDF]

Proceedings of the American Mathematical Society, 1969
We shall show that there is no general method of telling whether an arbitrary polynomial P(xl, , Xk) with integer coefficients is ever a power of 2 for xi, , xk natural numbers. At present there is no general method known even in the special case with k = 1.
openaire   +2 more sources

Curves of best approximation on wonderful varieties

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3941-3948, December 2025.
Abstract We give an unconditional proof of the Coba conjecture for wonderful compactifications of adjoint type for semisimple Lie groups of type An$A_n$. We also give a proof of a slightly weaker conjecture for wonderful compactifications of adjoint type for arbitrary Lie groups.
Christopher Manon, David McKinnon, Matthew Satriano   +2 more
wiley   +1 more source

Euclidean algorithms are Gaussian over imaginary quadratic fields

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We prove that the distribution of the number of steps of the Euclidean algorithm of rationals in imaginary quadratic fields with denominators bounded by N$N$ is asymptotically Gaussian as N$N$ goes to infinity, extending a result by Baladi and Vallée for the real case.
Dohyeong Kim, Jungwon Lee, Seonhee Lim
wiley   +1 more source

Quadratic Diophantine Inequalities

Journal of Number Theory, 2001
The theme of this paper is to investigate certain systems of Diophantine inequalities on real diagonal quadratic forms. First, let \(Q_1\) and \(Q_2\) be real diagonal quadratic forms in \(s\) variables, with \(s\geq 10\), and suppose that whenever \(\alpha\) and \(\beta\) are real numbers with \((\alpha,\beta)\neq(0,0)\), then the form \(\alpha Q_1 ...
openaire   +2 more sources