No abstract

The q-rung orthopair set (q-ROFSs) can serve as a generalization of the existing orthopair fuzzy sets, including intuitionistic fuzzy sets and Pythagorean fuzzy sets. The most desirable characteristic of q-ROFSs is that they support a greater space of allowable membership grades and provide decision makers more freedom in describing their true opinions. As a classical aggregation operator, Heronian mean (HM) can model the interrelationship between attributes. In this paper, we extend the traditional HM to aggregate q-rung orthopair fuzzy information and propose the q-rung orthopair fuzzy HM and its weighted form.Further, to overcome the shortcomings of the traditional HM, considering the possible partition structure in the actual decision situations, we propose the q-rung orthopair fuzzy partitioned Heronian mean operator and the q-rung orthopair fuzzy weighted partitioned Heronian mean operator. Then, some special cases and some desirable properties are investigated and discussed. A new multiple attribute group decision-making(MAGDM) technique is developed based on the proposed q-rung orthopair fuzzy operators. Finally, a representative example is provided to verify the effectiveness and superiority of the proposed method by comparing with other several existing representative MAGDM methods. K E Y W O R D SHeronian mean, multiple attribute group decision making, partition structure, q-rung orthopair fuzzy set Multiattribute decision making (MADM) is a common activity in people's daily life and business management. In the research of MADM methods, modeling and managing assessment information is a prerequisite for obtaining the optimal solution. Since Zadeh 1 originally proposed the concept of fuzzy sets (FSs) to describe the uncertainty of object, many classical extensions of FSs have been presented to accommodate to different decision scenarios, such as intuitionistic fuzzy sets (IFSs), 2 type-2 fuzzy sets, 3 hesitant fuzzy sets, 4 Pythagorean fuzzy set (PFS), 5 etc. These different extensions have been successfully applied to many different fields, such as risk management, information recommended, pattern recognition, etc. and have achieved fruitful research results. [6][7][8][9][10][11] Recently, Bustince et al. 12 reviewed the definition, properties, and other knowledge about different extensions of ordinary FSs that have been presented in the past few decades. They also summarized and analyzed the difference and the relationships between these extensions.Among these extensions of FSs, IFSs 2 are considered as powerful tools for modeling uncertainty and fuzziness, which characterize each element with a membership degree and a nonmembership degree and satisfies the restriction that the sum of them is less than or equal to 1. In the past 30 years, many scholars have conducted in-depth exploration and research on IFSs and a large number of results within the IFS context have been achieved, including comparison and ranking methods, distance measures, correlation coefficients, operation operators, preference relat...

Powerful yet thinner lithium-ion batteries (LIBs) are eagerly desired to meet the practical demands of electric vehicles and portable electronic devices. However, the use of soft carbon materials in current electrode design to improve the electrode conductivity and stability does not afford high volumetric capacity due to their low density and capacity for lithium storage. Herein, we report a strategy leveraging the MXene with superior conductivity and density to soft carbon as matrix and additive material for comprehensively enhancing the power capability, lifespan, and volumetric capacity of conversion-type anode. A kinetics favorable 2D nanohybrid with high conductivity, compact density, accumulated pseudocapacitance, and diffusion-controlled behavior is fabricated by coupling TiC MXene with high-density molybdenum carbide for fast lithium storage over 300 cycles with high capacities. By replacing the carbonaceous conductive agent with TiC MXene, the electrodes with better conductivity and dramatically reduced thickens could be further manufactured to achieve 37-40% improvement in capacity retention and ultra-long life of 5500 cycles with extremely slow capacity loss of 0.002% per cycle at high current rates. Ultrahigh volumetric capacity of 2460 mAh cm could be attained by such MXene-based electrodes, highlighting the great promise of MXene in the development of high-performance LIBs.

A novel molecule T1 with efficient intramolecular charge transfer was designed as a fluorescent chemodosimeter for cysteine (Cys) and homocysteine (Hcy). Upon addition of Cys/Hcy, T1 exhibited greatly enhanced fluorescence intensity as well as a large absorption peak shift (70 nm), and can be used for bioimaging of Cys/Hcy in living cells and detection in human plasma by visual color change. The detection mechanism was proved by (1)H NMR, mass spectrometry analysis and Gaussian calculations.