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This study examines the magnetic effects of heat and mass transmission on the flow of micropolar fluid over a permeable stretching geometry with dilute homogeneous dispersion of nano-particles and gyrotactic microorganisms. A system of coupled highly non-linear PDEs is renovated into corresponding ODEs by using similarity functions. These transmuted equations are resolved for a solution with shooting technique accompanied with Runge-Kutta fourth order. The variations of intricate physical quantities such as temperature, micro-motion, concentration, velocity, and motile micro-organism profiles are evaluated under the influence of the emerging parameters. The velocity profile decreases down with upsurge values of magnetic parameter M while micro-rotation is strengthened and its value becomes higher directly with increments in M. The microorganisms profile depict the diminishing behavior with the growing value of bioconvection Lewis number. These results are useful for obtaining better solutions for heat transfer devices and micropolar fuel cells. Additionally, the impact of the parameter of Brownian motion, Rayleigh number, and the parameter of thermophoresis, Peclet number, and buoyancy ratio parameter were discussed numerically and graphically. Moreover, the numerical results were validated by comparing them with previously obtained exact solution for special cases and acceptable compatibility between the two results is achieved. The findings from this work can be utilized for efficient heat exchangers and thermal balance in micro-electronics.
Danial Habib; Sohaib Abdal; Rifaqat Ali; Dumitru Baleanu; Imran Siddique. On bioconvection and mass transpiration of micropolar nanofluid dynamics due to an extending surface in existence of thermal radiations. Case Studies in Thermal Engineering 2021, 27, 101239 .
AMA StyleDanial Habib, Sohaib Abdal, Rifaqat Ali, Dumitru Baleanu, Imran Siddique. On bioconvection and mass transpiration of micropolar nanofluid dynamics due to an extending surface in existence of thermal radiations. Case Studies in Thermal Engineering. 2021; 27 ():101239.
Chicago/Turabian StyleDanial Habib; Sohaib Abdal; Rifaqat Ali; Dumitru Baleanu; Imran Siddique. 2021. "On bioconvection and mass transpiration of micropolar nanofluid dynamics due to an extending surface in existence of thermal radiations." Case Studies in Thermal Engineering 27, no. : 101239.
In this paper, we investigate the multi-criteria decision-making complications under intuitionistic fuzzy hypersoft set (IFHSS) information. The IFHSS is a proper extension of the intuitionistic fuzzy soft set (IFSS) which discusses the parametrization of multi-sub attributes of considered parameters, and accommodates more hesitation comparative to IFSS utilizing the multi sub-attributes of the considered parameters. The main objective of this research is to introduce operational laws for intuitionistic fuzzy hypersoft numbers (IFHSNs). Additionally, based on developed operational laws two aggregation operators (AOs), i.e., intuitionistic fuzzy hypersoft weighted average (IFHSWA) and intuitionistic fuzzy hypersoft weighted geometric (IFHSWG), operators have been presented with their fundamental properties. Furthermore, a decision-making approach has been established utilizing our developed aggregation operators (AOs). Through the established approach, a technique for solving decision-making (DM) complications is proposed to select sustainable suppliers in sustainable supply chain management (SSCM). Moreover, a numerical description is presented to ensure the validity and usability of the proposed technique in the DM process. The practicality, effectivity, and flexibility of the current approach are demonstrated through comparative analysis with the assistance of some prevailing studies.
Rana Zulqarnain; Imran Siddique; Rifaqat Ali; Dragan Pamucar; Dragan Marinkovic; Darko Bozanic. Robust Aggregation Operators for Intuitionistic Fuzzy Hypersoft Set with Their Application to Solve MCDM Problem. Entropy 2021, 23, 688 .
AMA StyleRana Zulqarnain, Imran Siddique, Rifaqat Ali, Dragan Pamucar, Dragan Marinkovic, Darko Bozanic. Robust Aggregation Operators for Intuitionistic Fuzzy Hypersoft Set with Their Application to Solve MCDM Problem. Entropy. 2021; 23 (6):688.
Chicago/Turabian StyleRana Zulqarnain; Imran Siddique; Rifaqat Ali; Dragan Pamucar; Dragan Marinkovic; Darko Bozanic. 2021. "Robust Aggregation Operators for Intuitionistic Fuzzy Hypersoft Set with Their Application to Solve MCDM Problem." Entropy 23, no. 6: 688.
The correlation coefficient between two variables is an important aspect of statistics. The accuracy of assessments of correlation relies on information from a set of discourses. Data collected in statistical studies are often full of exceptions. Pythagorean fuzzy soft sets (PFSS) are a parametrized family of extended Pythagorean fuzzy sets (PFS). They comprise a generalization of intuitionistic fuzzy soft sets which may be used to accurately assess deficiencies and uncertainties in evaluations. PFSS can accommodate uncertainty more competently than intuitionistic fuzzy soft sets and are the most important strategy when dealing with fuzzy information in decision-making processes. Herein, the concept and characteristics of correlation coefficients and the weighted correlation coefficients in PFSS are discussed. We also introduce the Pythagorean fuzzy soft weighted average (PFSWA) and Pythagorean fuzzy soft weighted geometric (PFSWG) operators and discuss their desirable characteristics. A prioritization technique for order preference by similarity to the ideal solution (TOPSIS) under the PFSS environment based on correlation coefficients and weighted correlation coefficients will be introduced. Through the proposed methodology, a technique for decision-making is developed. Additionally, an application of the proposed TOPSIS technique is presented for green supplier selection in green supply chain management (GSCM). The practicality, efficacy, and flexibility of the proposed approach is proved through comparative analyses, drawing upon existing studies.
Rana Zulqarnain; Xiao Xin; Imran Siddique; Waseem Asghar Khan; Mogtaba Yousif. TOPSIS Method Based on Correlation Coefficient under Pythagorean Fuzzy Soft Environment and Its Application towards Green Supply Chain Management. Sustainability 2021, 13, 1642 .
AMA StyleRana Zulqarnain, Xiao Xin, Imran Siddique, Waseem Asghar Khan, Mogtaba Yousif. TOPSIS Method Based on Correlation Coefficient under Pythagorean Fuzzy Soft Environment and Its Application towards Green Supply Chain Management. Sustainability. 2021; 13 (4):1642.
Chicago/Turabian StyleRana Zulqarnain; Xiao Xin; Imran Siddique; Waseem Asghar Khan; Mogtaba Yousif. 2021. "TOPSIS Method Based on Correlation Coefficient under Pythagorean Fuzzy Soft Environment and Its Application towards Green Supply Chain Management." Sustainability 13, no. 4: 1642.