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

Abstract

The pioneer paradigm of soft set (SfiS) was investigated by Molodtsov in 1999 by affixing parameterization tools in ordinary sets. SfiS 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 SfiS and q-rung orthopair fuzzy set (q-ROFS) to get the new notion called q-rung orthopair fuzzy soft set (qROFSfiS). The notion of q-ROFSfiS is free from those complexities which suffering the contemporary theories because parameterization tool is the most significant character of q-ROFSfiS. In this manuscript our main contribution to originate the concept of q-ROF soft weighted geometric (q-ROFSfiWG), q-ROF soft ordered weighted geometric (q-ROFSfiOWG) and q-ROF soft hybrid geometric (q-ROFSfiHG) operators in q-ROFSfiS 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-ROFSfi 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.

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