TY - JOUR
T1 - Group Generalized q-Rung Orthopair Fuzzy Soft Sets
T2 - New Aggregation Operators and Their Applications
AU - Hayat, Khizar
AU - Shamim, Raja Aqib
AU - AlSalman, Hussain
AU - Gumaei, Abdu
AU - Yang, Xiao Peng
AU - Azeem Akbar, Muhammad
N1 - Publisher Copyright:
Copyright © 2021 Khizar Hayat et al.
PY - 2021
Y1 - 2021
N2 - In recent years, q-rung orthopair fuzzy sets have been appeared to deal with an increase in the value of q>1, which allows obtaining membership and nonmembership grades from a larger area. Practically, it covers those membership and nonmembership grades, which are not in the range of intuitionistic fuzzy sets. The hybrid form of q-rung orthopair fuzzy sets with soft sets have emerged as a useful framework in fuzzy mathematics and decision-makings. In this paper, we presented group generalized q-rung orthopair fuzzy soft sets (GGq-ROFSSs) by using the combination of q-rung orthopair fuzzy soft sets and q-rung orthopair fuzzy sets. We investigated some basic operations on GGq-ROFSSs. Notably, we initiated new averaging and geometric aggregation operators on GGq-ROFSSs and investigated their underlying properties. A multicriteria decision-making (MCDM) framework is presented and validated through a numerical example. Finally, we showed the interconnection of our methodology with other existing methods.
AB - In recent years, q-rung orthopair fuzzy sets have been appeared to deal with an increase in the value of q>1, which allows obtaining membership and nonmembership grades from a larger area. Practically, it covers those membership and nonmembership grades, which are not in the range of intuitionistic fuzzy sets. The hybrid form of q-rung orthopair fuzzy sets with soft sets have emerged as a useful framework in fuzzy mathematics and decision-makings. In this paper, we presented group generalized q-rung orthopair fuzzy soft sets (GGq-ROFSSs) by using the combination of q-rung orthopair fuzzy soft sets and q-rung orthopair fuzzy sets. We investigated some basic operations on GGq-ROFSSs. Notably, we initiated new averaging and geometric aggregation operators on GGq-ROFSSs and investigated their underlying properties. A multicriteria decision-making (MCDM) framework is presented and validated through a numerical example. Finally, we showed the interconnection of our methodology with other existing methods.
UR - http://www.scopus.com/inward/record.url?scp=85122765311&partnerID=8YFLogxK
U2 - 10.1155/2021/5672097
DO - 10.1155/2021/5672097
M3 - Article
AN - SCOPUS:85122765311
SN - 1024-123X
VL - 2021
JO - Mathematical Problems in Engineering
JF - Mathematical Problems in Engineering
M1 - 5672097
ER -