Results 1 to 10 of about 22,960 (196)

Entropy for q-rung linear diophantine fuzzy hypersoft set with its application in MADM [PDF]

Scientific Reports
A 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, J. Vimala, Nasreen Kausar, Željko Stević, Mohd Asif Shah   +4 more
doaj   +3 more sources

On the Relationship Between Matiyasevich's and Smorynski's Theorems [PDF]

Scientific Annals of Computer Science, 2019
Let R be a non-zero subring of Q with or without 1. We assume that for every positive integer n there exists a computable surjection from N onto Rn. Every R \in {Z,Q} satisfies these conditions.
Agnieszka Peszek, Apoloniusz Tyszka
doaj   +4 more sources

On large $F$-Diophantine sets

Monatshefte für Mathematik, 2017
Let $F\in\mathbb{Z}[x,y]$ and $m\ge2$ be an integer. A set $A\subset \mathbb{Z}$ is called an $(F,m)$-Diophantine set if $F(a,b)$ is a perfect $m$-power for any $a,b\in A$ where $a\ne b$.
El-Sissi, Nermine, Sadek, Mohammad
core   +2 more sources

A hypothetical upper bound on the heights of the solutions of a Diophantine equation with a finite number of solutions

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 Reports
This 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, Nasreen Kausar, Dragan Pamucar, Vladimir Simic, Fikadu Tesgera Tolasa   +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 Reports
Fuzzy 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, Saifullah Khan, Ariana Abdul Rahimzai, Saleem Abdullah   +3 more
doaj   +2 more sources

Extended PROMETHEE method with (p,q)-rung linear Diophantine fuzzy sets for robot selection problem [PDF]

Scientific Reports
The 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, AN. Surya, Nasreen Kausar, Dragan Pamucar, Vladimir Simic, Mohammed Abdullah Salman   +5 more
doaj   +2 more sources

Complex Diophantine interval-valued Pythagorean normal set for decision-making processes [PDF]

Scientific Reports
A novel method for solving the multiple-attribute decision-making problem is proposed using the complex Diophantine interval-valued Pythagorean normal set (CDIVPNS). This study aims to discuss aggregating operations and how they are interpreted.
Murugan Palanikumar, Nasreen Kausar, Ponnaiah Tharaniya, Željko Stević, Fikadu Tesgera Tolasa   +4 more
doaj   +2 more sources

Optimizing road safety: integrated analysis of motorized vehicle using lattice ordered complex linear diophantine fuzzy soft set [PDF]

PeerJ Computer Science
In this manuscript, we delve into the realm of lattice ordered complex linear diophantine fuzzy soft set, which constitutes an invaluable extension to the existing Fuzzy set theories.
K. Ashma Banu, J. Vimala, Nasreen Kausar, Željko Stević   +3 more
doaj   +3 more sources

Complex linear Diophantine fuzzy Dombi prioritized operators-based MULTIMOORA approach with applications to sustainable energy planning [PDF]

Scientific Reports
Sustainable energy planning is a critical challenge, particularly in regions with complex decision-making environments and uncertain data. The selection of an optimal energy source requires robust methodologies that can effectively handle multi-criteria ...
Abdul Wahab Mustafa, Zia Bashir, Jawad Ali, Muhammed I. Syam   +3 more
doaj   +2 more sources