Some Geometric Aggregation Operators Under q-Rung Orthopair Fuzzy Soft Information With Their Applications in Multi-Criteria Decision Making

The pioneer paradigm of soft set (
$S_{ft}\text{S}$
) was investigated by Molodtsov in 1999 by affixing parameterization tools in ordinary sets.
$S_{ft}\text{S}$
theory is free from inherit complexity and a nice mathematical tool for handle uncertainties and vagueness. The aim of this paper is to initiate the combine study of
$S_{ft}\text{S}$
and q-rung orthopair fuzzy set (q-ROFS) to get the new notion called q-rung orthopair fuzzy soft set (q-ROF
$S_{ft}\text{S}$
). The notion of q-ROF
$S_{ft}\text{S}$
is free from those complexities which suffering the contemporary theories because parameterization tool is the most significant character of q-ROF
$S_{ft}\text{S}$
. In this manuscript our main contribution to originate the concept of q-ROF soft weighted geometric (q-ROF
$S_{ft}$
WG), q-ROF soft ordered weighted geometric (q-ROF
$S_{ft}$
OWG) and q-ROF soft hybrid geometric (q-ROF
$S_{ft}$
HG) operators in q-ROF
$S_{ft}\text{S}$
environment. Moreover, some dominant properties of these developed operators are studied in detail. Based on these proposed approaches, a model is build up for multi-criteria decision making (MCDM) and their step wise algorithm is being presented. Finally, utilizing the developed approach an illustrative example is solved under q-ROF
$S_{ft}$
environment. Further a comparative analysis of the investigated models with some existing methods are presented in detail which shows the superiority, competence and ability of the developed model.