Related Experiment Video
Updated: Nov 23, 2025

Preparation of Fungal and Plant Materials for Structural Elucidation Using Dynamic Nuclear Polarization Solid-State NMR
Published on: February 12, 2019
On m-polar Diophantine Fuzzy N-soft Set with Applications
Jia-Bao Liu1, Shahbaz Ali2, Muhammad Khalid Mahmood3
1School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601,China.
Introduction:
In this paper, we present a novel hybrid model m-polar Diophantine fuzzy N-soft set and define its operations.
Methods:
We generalize the concepts of fuzzy sets, soft sets, N-soft sets, fuzzy soft sets, intuitionistic fuzzy sets, intuitionistic fuzzy soft sets, Pythagorean fuzzy sets, Pythagorean fuzzy soft sets and Pythagorean fuzzy N-soft sets by incorporating our proposed model. Additionally, we define three different sorts of complements for Pythagorean fuzzy N-soft sets and examine few outcomes, which do not hold in Pythagorean fuzzy N-soft sets complements unlike to crisp set. We further discuss (α, β, γ) -cut of m-polar Diophantine fuzzy N-soft sets and their properties. Lastly, we prove our claim that the defined model is a generalization of the soft set, N-soft set, fuzzy Nsoft set, intuitionistic fuzzy N soft set, and Pythagorean fuzzy N-soft set.
Results:
m-polar Diophantine fuzzy N-soft set is more efficient and an adaptable model to manage uncertainties as it also overcomes drawbacks of existing models, which are to be generalized.
Conclusion:
We introduced the novel concept of m-polar Diophantine fuzzy N-soft sets (MPDFNS sets).
More Related Videos
Related Concept Videos
Hückel's Rule Diagram of π MOs: Frost Circle
A Frost circle is constructed by drawing a polygon whose number of edges is equal to the number of carbons of the given cyclic system, with one of the vertices pointing down. Then, a circle is drawn enclosing the polygon so that...
Application of Nonlinear Inequalities
Synthetic Disvision of Polynomials
Frost Circles for Different Conjugated Systems
Piecewise-Defined Functions
Theorems of Pappus and Guldinus: Problem Solving

