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Combinatorial Chemistry & High Throughput Screening

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ISSN (Print): 1386-2073
ISSN (Online): 1875-5402

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Research Article

On m-polar Diophantine Fuzzy N-soft Set with Applications

Author(s): Jia-Bao Liu, Shahbaz Ali*, Muhammad Khalid Mahmood and Muhammad Haris Mateen

Volume 25, Issue 3, 2022

Published on: 30 December, 2020

Page: [536 - 546] Pages: 11

DOI: 10.2174/1386207323666201230092354

Price: $65

Abstract

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).

Keywords: m-polar Diophantine fuzzy N-soft sets, m-polar diophantine fuzzy N-soft set complements, (α, β, γ)-cut of mpolar diophantine fuzzy N-soft set, fuzzy sets, soft sets, intuitionistic sets.

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