RT Journal Article
ID 412dba591790caba
A1 Garg, Harish
T1 HESITANT PYTHAGOREAN FUZZY SETS AND THEIR AGGREGATION OPERATORS IN MULTIPLE ATTRIBUTE DECISION-MAKING
JF International Journal for Uncertainty Quantification
JO IJUQ
YR 2018
FD 2018-05-11
VO 8
IS 3
SP 267
OP 289
K1 hesitant Pythagorean fuzzy set
K1 hesitant fuzzy set
K1 Pythagorean fuzzy set
K1 aggregation operators
K1 multi-attribute decision-making
AB In this article, a new concept of the hesitant Pythagorean fuzzy sets has been presented by combining the concept
of the Pythagorean as well as the Hesitant fuzzy sets. Some of the basic operations laws and their properties have
been investigated. Further, we have developed some new weighted averaging and geometric aggregation operators
named as hesitant Pythagorean fuzzy weighted average and geometric, ordered weighted average and geometric, hybrid
average and geometric with hesitant Pythagorean fuzzy information. The properties of these aggregation operators
are investigated. The proposed set is the generalization of the sets of fuzzy, intuitionistic fuzzy, hesitant fuzzy, and
Pythagorean fuzzy. Additionally, a multiple-attribute decision-making approach is established based on these operators under hesitant Pythagorean fuzzy environment and an example is given to illustrate the application of it. Finally, we compare the results with the existing methods to show the effectiveness of it.

PB Begell House
LK https://www.dl.begellhouse.com/journals/52034eb04b657aea,2a63c994718e44bd,412dba591790caba.html