Specific Types of Pythagorean Fuzzy Graphs and Application to Decision-Making

The purpose of this research study is to present some new operations, including rejection, symmetric difference, residue product, and maximal product of Pythagorean fuzzy graphs (PFGs), and to explore some of their properties. This research article introduces certain notions, including intuitionisti...

Full description

Bibliographic Details
Main Authors:	Muhammad Akram, Amna Habib, Farwa Ilyas, Jawaria Mohsan Dar
Format:	Article
Language:	English
Published:	MDPI AG 2018-08-01
Series:	Mathematical and Computational Applications
Subjects:	Pythagorean fuzzy graphs intuitionistic fuzzy graphs of 3-type intuitionistic fuzzy graphs of 4-type intuitionistic fuzzy graphs of n-type
Online Access:	http://www.mdpi.com/2297-8747/23/3/42

id	doaj-3b37f3f630a34287bc64e088aede7461
record_format	Article
spelling	doaj-3b37f3f630a34287bc64e088aede74612020-11-25T01:21:34ZengMDPI AGMathematical and Computational Applications2297-87472018-08-012334210.3390/mca23030042mca23030042Specific Types of Pythagorean Fuzzy Graphs and Application to Decision-MakingMuhammad Akram0Amna Habib1Farwa Ilyas2Jawaria Mohsan Dar3Department of Mathematics, University of the Punjab, New Campus, Lahore 4590, PakistanDepartment of Mathematics, University of the Punjab, New Campus, Lahore 4590, PakistanDepartment of Mathematics, University of the Punjab, New Campus, Lahore 4590, PakistanDepartment of Mathematics, University of the Punjab, New Campus, Lahore 4590, PakistanThe purpose of this research study is to present some new operations, including rejection, symmetric difference, residue product, and maximal product of Pythagorean fuzzy graphs (PFGs), and to explore some of their properties. This research article introduces certain notions, including intuitionistic fuzzy graphs of 3-type (IFGs3T), intuitionistic fuzzy graphs of 4-type (IFGs4T), and intuitionistic fuzzy graphs of n-type (IFGsnT), and proves that every IFG(n−1)T is an IFGnT (for n ≥ 2). Moreover, this study discusses the application of Pythagorean fuzzy graphs in decision making.http://www.mdpi.com/2297-8747/23/3/42Pythagorean fuzzy graphsintuitionistic fuzzy graphs of 3-typeintuitionistic fuzzy graphs of 4-typeintuitionistic fuzzy graphs of n-type
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Muhammad Akram Amna Habib Farwa Ilyas Jawaria Mohsan Dar
spellingShingle	Muhammad Akram Amna Habib Farwa Ilyas Jawaria Mohsan Dar Specific Types of Pythagorean Fuzzy Graphs and Application to Decision-Making Mathematical and Computational Applications Pythagorean fuzzy graphs intuitionistic fuzzy graphs of 3-type intuitionistic fuzzy graphs of 4-type intuitionistic fuzzy graphs of n-type
author_facet	Muhammad Akram Amna Habib Farwa Ilyas Jawaria Mohsan Dar
author_sort	Muhammad Akram
title	Specific Types of Pythagorean Fuzzy Graphs and Application to Decision-Making
title_short	Specific Types of Pythagorean Fuzzy Graphs and Application to Decision-Making
title_full	Specific Types of Pythagorean Fuzzy Graphs and Application to Decision-Making
title_fullStr	Specific Types of Pythagorean Fuzzy Graphs and Application to Decision-Making
title_full_unstemmed	Specific Types of Pythagorean Fuzzy Graphs and Application to Decision-Making
title_sort	specific types of pythagorean fuzzy graphs and application to decision-making
publisher	MDPI AG
series	Mathematical and Computational Applications
issn	2297-8747
publishDate	2018-08-01
description	The purpose of this research study is to present some new operations, including rejection, symmetric difference, residue product, and maximal product of Pythagorean fuzzy graphs (PFGs), and to explore some of their properties. This research article introduces certain notions, including intuitionistic fuzzy graphs of 3-type (IFGs3T), intuitionistic fuzzy graphs of 4-type (IFGs4T), and intuitionistic fuzzy graphs of n-type (IFGsnT), and proves that every IFG(n−1)T is an IFGnT (for n ≥ 2). Moreover, this study discusses the application of Pythagorean fuzzy graphs in decision making.
topic	Pythagorean fuzzy graphs intuitionistic fuzzy graphs of 3-type intuitionistic fuzzy graphs of 4-type intuitionistic fuzzy graphs of n-type
url	http://www.mdpi.com/2297-8747/23/3/42
work_keys_str_mv	AT muhammadakram specifictypesofpythagoreanfuzzygraphsandapplicationtodecisionmaking AT amnahabib specifictypesofpythagoreanfuzzygraphsandapplicationtodecisionmaking AT farwailyas specifictypesofpythagoreanfuzzygraphsandapplicationtodecisionmaking AT jawariamohsandar specifictypesofpythagoreanfuzzygraphsandapplicationtodecisionmaking
_version_	1725129406509219840

Specific Types of Pythagorean Fuzzy Graphs and Application to Decision-Making

Similar Items