Modelling uncertainties with TOPSIS and GRA based on q‐rung orthopair m‐polar fuzzy soft information in COVID‐19

Abstract

Fuzzy hybrid models are strong mathematical tools to address vague and uncertain information in real-life circumstances. The aim of this article is to introduce a new fuzzy hybrid model named as of q-rung orthopair m-polar fuzzy soft set (q-RO-m-PFSS) as a robust fusion of soft set (SS), m-polar fuzzy set (m-PFS) and q-rung orthopair fuzzy set (q-ROFS). A q-RO-m-PFSS is a new approach towards modelling uncertainties in the multi-criteria decision making (MCDM) problems. Some fundamental operations on q-RO-m-PFSSs, their key properties, and related significant results are introduced. Additionally, the complexity of logistics and supply chain management during COVID-19 is analysed using TOPSIS (technique for ordering preference through the ideal solution) and GRA (grey relational analysis) with the help of q-RO-m-PFS information. The linguistic terms are used to express q-RO-m-PFS information in terms of numeric values. The proposed approaches are worthy efficient in the selection of ventilator's manufacturers for the patients suffering from epidemic disease named as COVID-19. A practical application of proposed MCDM techniques is demonstrated by respective numerical examples. The comparison analysis of the final ranking computed by proposed techniques is also given to justify the feasibility, applicability and reliability of these techniques.

An integrated group decision-making method under q-rung orthopair fuzzy 2-tuple linguistic context with partial weight information

“…q-RFLNs inherit the superiority of q-ROFNs and linguistic term sets and relaxes the membership and non-membership criteria. Consequently, information loss is inevitable when using q-ROFNs-based decision-making methodologies [73][74][75]. In the meantime, our devised method cannot only handle scenarios in which the weight information of the DMKs is unknown but can also reduce information loss.…”

Schweizer‐Sklar operations based hybrid aggregation operator to dual hesitant q‐rung orthopair fuzzy set and its application on MCGDM

“…Recently, Gayen et al, (2022) proposed Hamacher aggregation operators for aggregating ‐rung orthopair trapezoidal fuzzy numbers. Also, some research works (Mahamood et al, 2019; Liao et al, 2020; Liu et al., 2022; Riaz et al, 2022; Paul et al, 2022, Mahamood et al, 2023) on IF, PF and ‐ROF contexts are reviewed.…”

A Novel Approach Toward Q-Rung Orthopair Fuzzy Rough Dombi Aggregation Operators and Their Application to Decision-Making Problems

“…Garg et al [28], discussed a new fuzzy hybrid model known as the q-rung orthopire m-polar fuzzy soft set in uses the TOPSIS and GRA methods. Riaz et al [29], Applications of Equality Aggregation Operators in Multiantibiotic decision making problems using advanced (q-ROFS) explained by Garg et al [30]. Incomplete linguistic information under q-rung orthopire The Maclaurin scores mean operators were divided by the interaction power is proposed by Yang et al [31].…”