Pythagorean fuzzy N-soft groups

M. Shazib Hameed; Salman Mukhtar; Haqkhan Nawaz; Shahbaz Ali; M. Haris Mateen; Muhammad Gulzar

doi:10.11591/ijeecs.v21.i2.pp1030-1038

Pythagorean fuzzy N-soft groups

M. Shazib Hameed, Salman Mukhtar, Haqkhan Nawaz, Shahbaz Ali, M. Haris Mateen^*, Muhammad Gulzar

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

We elaborate in this paper a new structure Pythagorean fuzzy N-soft groups which is the generalization of intuitionistic fuzzy soft group initiated by Karaaslan in 2013. In Pythagorean fuzzy N-soft sets 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 are generalized. We also talk about some elementary basic concepts and operations on Pythagorean fuzzy N-soft sets with the assistance of illusions. We additionally define three different sorts of complements for Pythagorean fuzzy N-soft sets and examined a few outcomes not hold in Pythagorean fuzzy N-soft sets complements as they hold in crisp set hypothesis with the assistance of counter examples. We further talked about (α,β,γ)-cut of Pythagorean fuzzy N-soft set and their properties. We likewise talk about some essential properties of Pythagorean fuzzy N-soft groups like groupoid, normal group, left and right cosets, (α,β,γ)-cut subgroups and some fundamental outcomes identified with these terms. Pythagorean fuzzy N-soft sets is increasingly efficient and adaptable model to manage uncertainties. The proposed models of Pythagorean fuzzy N-soft groups can defeat a few disadvantages of the existing statures.

Original language	English
Pages (from-to)	1030-1038
Number of pages	9
Journal	Indonesian Journal of Electrical Engineering and Computer Science
Volume	21
Issue number	2
DOIs	https://doi.org/10.11591/ijeecs.v21.i2.pp1030-1038
State	Published - Feb 2021
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2021 Institute of Advanced Engineering and Science. All rights reserved.

Keywords

(α,β,γ)-cut of pythagorean
(α,β,γ)-cut subgroups
Fuzzy N-soft set
Groups
Pythagorean fuzzy N-soft
Pythagorean fuzzy N-soft sets
Pythagorean fuzzy N-soft sets complements

ASJC Scopus subject areas

Signal Processing
Information Systems
Hardware and Architecture
Computer Networks and Communications
Control and Optimization
Electrical and Electronic Engineering

Access to Document

10.11591/ijeecs.v21.i2.pp1030-1038

Cite this

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title = "Pythagorean fuzzy N-soft groups",

abstract = "We elaborate in this paper a new structure Pythagorean fuzzy N-soft groups which is the generalization of intuitionistic fuzzy soft group initiated by Karaaslan in 2013. In Pythagorean fuzzy N-soft sets 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 are generalized. We also talk about some elementary basic concepts and operations on Pythagorean fuzzy N-soft sets with the assistance of illusions. We additionally define three different sorts of complements for Pythagorean fuzzy N-soft sets and examined a few outcomes not hold in Pythagorean fuzzy N-soft sets complements as they hold in crisp set hypothesis with the assistance of counter examples. We further talked about (α,β,γ)-cut of Pythagorean fuzzy N-soft set and their properties. We likewise talk about some essential properties of Pythagorean fuzzy N-soft groups like groupoid, normal group, left and right cosets, (α,β,γ)-cut subgroups and some fundamental outcomes identified with these terms. Pythagorean fuzzy N-soft sets is increasingly efficient and adaptable model to manage uncertainties. The proposed models of Pythagorean fuzzy N-soft groups can defeat a few disadvantages of the existing statures.",

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author = "Hameed, \{M. Shazib\} and Salman Mukhtar and Haqkhan Nawaz and Shahbaz Ali and Mateen, \{M. Haris\} and Muhammad Gulzar",

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AU - Mateen, M. Haris

AU - Gulzar, Muhammad

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Pythagorean fuzzy N-soft groups

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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