A futuristic conception about q-rung orthopair fuzzy soft measure with application to guarantee the clean environment for healthy life

The desideratum behind this article is to study some primary perceptions of q -rung orthopair fuzzy soft ( q -ROFS) ring of sets, q -rung orthopair fuzzy soft σ -algebra ( q -ROFS σ -algebra) and q -rung orthopair fuzzy soft measure ( q -ROFS measure). Some characteristics and their related results of these notions are introduced. The notions of q -ROFS σ -algebra and q -ROFSM are the extensions of crisp σ -algebra and crisp measure, respectively. Also, a multi-criteria group decision-making (MCGDM) method based on q -rung orthopair fuzzy soft sets ( q -ROFSSs), mean proportional operator and newly proposed score function is proposed. Furthermore, an application of the proposed methodology toward a clean environment is given to handle uncertainties and vagueness.