Open Computer Science, 2018 We define a computable function f from positive integers to positive integers. We formulate a hypothesis which states that if a system S of equations of the forms xi· xj = xk and xi + 1 = xi has only finitely many solutions in non-negative integers x1, .
Tyszka Apoloniusz
doaj +2 more sources
Various distance between generalized Diophantine fuzzy sets using multiple criteria decision making and their real life applications [PDF]
Scientific ReportsThis paper describes a generalized Diophantine fuzzy sets, which can be seen as a generalization of both Diophantine fuzzy sets and Pythagorean fuzzy sets.
Murugan Palanikumar +4 more
doaj +2 more sources
Framework development of continuous non-linear Diophantine fuzzy sets and its application to renewable energy source selection [PDF]
Scientific ReportsFuzzy sets play a central role in decision-making theory, modeling uncertainty by means of membership grade (MG) and non-membership grade (NMG). Non-linear Diophantine fuzzy sets (N-LDFSs), which are the natural extensions of linear Diophantine fuzzy ...
Asaf Khan +3 more
doaj +2 more sources
Entropy for q-rung linear diophantine fuzzy hypersoft set with its application in MADM [PDF]
Scientific ReportsA notable advancement in fuzzy set theory is the q-rung linear diophantine fuzzy set. The soft set theory was expanded into the hypersoft set theory. By combining both the q-rung linear diophantine fuzzy set and hypersoft set, this study describes the ...
AN. Surya +4 more
doaj +2 more sources
Extended PROMETHEE method with (p,q)-rung linear Diophantine fuzzy sets for robot selection problem [PDF]
Scientific ReportsThe introduction of (p, q)-rung linear Diophantine fuzzy set into the field of fuzzy set theory is a significant advancement, providing a broader perspective to address complicated decision-making scenarios. Alongside, the preference ranking organization
J. Vimala +5 more
doaj +2 more sources
Diophantine imaging reveals the broken symmetry of sums of integer cubes [PDF]
Scientific ReportsWe introduced a novel method for visualizing large diophantine datasets and in particular found that mapping the known integer triplets $$\{a,b,c\}$$ { a , b , c } solving either equations of the type $$a^3+b^3+c^3=d$$ a 3 + b 3 + c 3 = d or $$a^3+b^3+c ...
Eldar Sultanow +2 more
doaj +2 more sources
On special exponential Diophantine equations [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this paper, we will focus on the study of a special type of exponential Diophantine equations, including a proof. The main contribution of this article is the mentioned type of equations, which can only be solved by the methods of elementary ...
Tomáš Riemel
doaj +1 more source
Linear Diophantine Fuzzy Set Theory Applied to BCK/BCI-Algebras
Mathematics, 2022 In this paper, we apply the concept of linear Diophantine fuzzy sets in BCK/BCI-algebras. In this respect, the notions of linear Diophantine fuzzy subalgebras and linear Diophantine fuzzy (commutative) ideals are introduced and some vital properties are ...
Ghulam Muhiuddin +4 more
doaj +1 more source
Linear Diophantine fuzzy subsets of polygroups
Karpatsʹkì Matematičnì Publìkacìï, 2022 Linear Diophantine fuzzy sets were recently introduced as a generalized form of fuzzy sets. The aim of this paper is to shed the light on the relationship between algebraic hyperstructures and linear Diophantine fuzzy sets through polygroups.
M. Al Tahan +3 more
doaj +1 more source
Linear Diophantine Fuzzy Subspaces of a Vector Space
Mathematics, 2023 The notion of a linear diophantine fuzzy set as a generalization of a fuzzy set is a mathematical approach that deals with vagueness in decision-making problems.
Madeleine Al-Tahan +3 more
doaj +1 more source