Another view on q‐rung orthopair fuzzy sets

In this paper, two new approaches have been presented to view q‐rung orthopair fuzzy sets. In the first approach, these can viewed as L‐fuzzy sets, whereas the second approach is based on the notion of orbits. Uncertainty index is the quantity HA(x)=1−(A+(x))q−(A−(x))q, which remains constant for al...

Full description

Saved in:

Bibliographic Details
Published in:	International journal of intelligent systems Vol. 33; no. 11; pp. 2139 - 2153
Main Author:	Ali, Muhammad Irfan
Format:	Journal Article
Language:	English
Published:	New York Hindawi Limited 01-11-2018
Subjects:	Fuzzy sets Intelligent systems intuitionistic fuzzy sets Operators Pythagorean fuzzy sets
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	In this paper, two new approaches have been presented to view q‐rung orthopair fuzzy sets. In the first approach, these can viewed as L‐fuzzy sets, whereas the second approach is based on the notion of orbits. Uncertainty index is the quantity HA(x)=1−(A+(x))q−(A−(x))q, which remains constant for all points in an orbit. Certain operators can be defined in q‐ROF sets, which affect HA(x) when applied to some q‐ROF sets. Operators Iδ, Mδ,ν, and Kδ,ν have been defined. It is studied that how these operators affect HA(x) when applied to some q‐ROF set A.
ISSN:	0884-8173 1098-111X
DOI:	10.1002/int.22007