Fuzzy Grey Relational Analysis Research Articles

Retracted: Research on the English Classroom Teaching Effect Evaluation with Interval‐Valued Intuitionistic Fuzzy Grey Relational Analysis Method

Retracted: Research on the English Classroom Teaching Effect Evaluation with Interval‐Valued Intuitionistic Fuzzy Grey Relational Analysis Method

Grey relational analysis method for typhoon vulnerability assessment of civil engineering structures based on the 2-tuple linguistic neutrosophic number.

As one of the severe natural disasters, typhoon hazard brings tremendous tragedy to human beings. The foreland in the southeast of China is one of the most typhoon prone areas in the world. There are amount of damage of civil engineering structures induced by typhoon every year. Especially for the spacious villages, the low-rise buildings are vulnerable to typhoon so that many of them are destroyed regionally. The typhoon vulnerability assessment of civil engineering structures is a classical multiple attribute group decision making (MAGDM) issues. In this paper, the 2-tuple linguistic neutrosophic number grey relational analysis (2TLNN-GRA) method is built based on the grey relational analysis (GRA) and 2-tuple linguistic neutrosophic sets (2TLNSs) with incomplete weight information. For deriving the weight information of the attribute, an optimization model is built on the basis of the GRA, by which the attribute weights can be decided. Then, the optimal alternative is chosen through calculating largest relative relational degree from the 2-tuple linguistic neutrosophic number positive ideal solution (2TLNNPIS) which considers both the largest grey relational coefficient (GRC) from the 2TLNNPIS and the smallest GRC form 2-tuple linguistic neutrosophic number negative ideal solution (2TLNN NIS). Then, combine the traditional fuzzy GRA model with 2TLNNSs information, the 2TLNN-GRA method is established and the computing steps for MAGDM are built. Finally, a numerical example for typhoon vulnerability assessment of civil engineering structures has been given and some comparisons is used to illustrate advantages of 2TLNN-GRA method.

Purchase decision making of garage equipment using an integrated fuzzy AHP and grey relation analysis method

PurposeAutomobile maintenance garages require varieties of equipment for their smooth functioning. However, the purchase of the right equipment from alternatives is a tough task as it depends on several economic, technical, and environmental considerations, etc. Moreover, there are different sellers for such equipment, whose features would be satisfying the purchase criteria in varying levels or degrees. Hence, this purchase decision becomes a complex decision-making problem.Design/methodology/approachAn integrated multi-criteria decision-making approach that includes the combination of fuzzy AHP (analytic hierarchy process) and GRA (grey relational analysis) is used for the purchase decision-making of garage equipment. Various purchase decision criteria regarding garage equipment are assimilated through literature and interaction with garage professionals. The weightage of each purchase criteria of garage equipment is derived using fuzzy AHP. After the establishment of weights, various equipment suppliers are evaluated according to their conformance to the criteria using the GRA method.FindingsThe methodology of FAHP helped in ranking the different purchasing criteria based on their importance. It follows the following sequence: cost of ownership, technical specifications, operational characteristics, reliability and maintenance, after-sales support, commercial features, environmental pollution, and end of life characteristics. GRA methodology has been applied for the purchase of the best common rail test bench among alternatives according to their fulfillment of the purchase criteria requirements that are evaluated by a team of experts.Originality/valueThe integrated approach developed in this work for garage equipment purchase will help garage management to prioritize each supplier of the equipment based on their level of conformance to the purchase criteria.

A binary fuzzy goal programming model with fuzzy parameters to select the fruits and vegetables market hall location for Istanbul

In urban areas, delivery of the products necessary to survive to the desired points has vital importance, and public distribution centers (PDCs) are one of the most important components of this system. In this paper, we present a hybrid method to analyze the locations of F&VMHs which is one of the PDCs types. Firstly, the alternative numbers have been decreased by interval-valued trapezoidal fuzzy grey relational analysis (IVTFGRA) method. Secondly, we develop a binary fuzzy goal programming (BFGP) model with fuzzy parameters to determine the most appropriate F&VMH locations by taking into consideration costs, arrival times and CO2 emission goals. Then, the BFGP model is converted to standard FGP model. In the last stage, the constraints with fuzzy parameters are transformed to crisp constraints with Peidro et al. (2010)’s methodology. The results show that current F&VMHs need to be moved to the locations that are more cost effective and out of the city center.

Effects of inlet velocity and structure parameters on the performance of a rotary diesel particulate filter for truck diesel engine based on fuzzy grey relational analysis

In this paper, a three-dimensional mathematical model of the rotary diesel particulate filter (RDPF) for truck diesel engine is established according to the fluid mechanics and porous media theory. The effects of inlet velocity and structure parameters (diameter ratio, expansion angle and filter length) on the flow uniformity in the RDPF are investigated. Furthermore, the Fuzzy grey relational analysis (FGRA) is employed to make a weight analysis of the influences of structure parameters on the regeneration performance and pressure drop of the RDPF. The results show that the velocity uniformity in the RDPF can be improved by properly reducing the inlet velocity, diameter ratio or expansion angle θ1. The capture-regeneration volume ratio with 8–10 is appropriate range for the structural optimization. Finally, the expansion angle θ1 is the most important structure parameter for the filter regeneration performance (regeneration time R = 0.8467; regeneration efficiency R = 0.6849) and the diameter ratio is the most important structure parameter for the pressure drop at the capture-regeneration “balance point” (R = 0.9352).

CFD simulation and optimization of slurry erosion of PDC bits

Polycrystalline diamond compact (PDC) bits are subjected to harsh erosive conditions under downhole. The erosion resistance partly determines the rate of penetration and footage of the bit. This work aims to investigate the effects of key factors on the erosion resistance of PDC bits through numerical simulation and field trials, and then to optimize the bit hydraulic designs. Computational Fluid Dynamics (CFD) and Discrete Phase Model (DPM) model were used to simulate the evacuation and impingement of cuttings on the bit body at the bottom of the well. The reliability of the numerical simulation was verified by the bit conditions after the field testing. Fuzzy grey relational analysis (FGRA) was then employed to rank the correlation degree of various affecting factors. The FGRA results show that the mass flow rate has the greatest effect on the average erosion rate of PDC bits, followed by the flow rate. The most erosion-vulnerable areas on the bit body are the webbings between cutters as well as the blade front. To improve the erosion resistance from the perspective of the bit hydraulic design, three novel hydraulic structures were proposed: the optimized nozzle orientation, the multi-ridge guide, and the extended curved nozzle. Numerical simulations indicate that all of these novel designs have great potential to enhance the erosion resistance of PDC bits with the customized extended curved nozzle showing the best.

Optimal siting of a nuclear power station in Nigeria using fuzzy grey relational analysis

One of the primary causes of Nigeria's underdevelopment is a lack of electricity to power the country's industries. Rather than relying solely on fossil fuels to generate electricity in Nigeria, a variety of other sources, such as nuclear energy, must be considered. A Nuclear Power Plant's (NPP) location is a critical step in its development. This paper thus presents a methodology for resolving the issue of NPP site selection. For this project, the fuzzy Grey Relational Analysis (GRA) method was chosen. To assess the feasibility of the approach, one of Nigeria's six south-south states was chosen as the location of a hypothetical nuclear power plant. According to the findings, the NPP would be best located in Delta State, which had the highest gray relational grade of 0.7897.

Influence of Slope Amplification on the Pile Dynamic Behavior Based on the Data Mining Method

In this article, a centrifuge shaking table model test of anchored stabilizing piles for strengthening landslides was established, and the dynamic response characteristics of the pile–anchor–slope under earthquake action were analyzed. On this basis, combined with the fuzzy gray relational analysis and the rank-sum ratio method, the correlation between the amplification of the acceleration response of the heterogenous slope and the dynamic response of the support structure was explored. Based on the obtained results, relevant suggestions for engineering design were proposed. The results showed that the seismic amplification of the complex soil–rock slope reinforced by the pile–anchor structure was not uniform and the amplification coefficient had strong variability. Among them, the amplification coefficient of the slope, dynamic earth pressure, and dynamic bending moment of the pile near the connection of the pile–anchor cable continued to increase; the correlation between the seismic amplification and the seismic behavior of the pile–anchor structure is different at different positions of the slope. The measurement points with a higher comprehensive ranking of correlation are mainly concentrated in the pile–anchor connection, the middle of the slope, and the high-angle soil–rock interface. It is related to the geometric characteristics of the model and the high seismic amplification of the slope; for the pile–anchor connection part and the high-angle soil–rock structure surface of the slope, the shock absorption measures and grouting strength of the anchor cable’s anchoring section should be considered in the engineering design.

Research on the English Classroom Teaching Effect Evaluation with Interval-Valued Intuitionistic Fuzzy Grey Relational Analysis Method

The English classroom teaching effect evaluation is looked as the multiattribute group decision-making (MAGDM). Thus, a useful MAGDM algorithm is needed to cope with it. Depending on the classical GRA process and interval-valued IFSs (IVIFSs), this study builds the IVIF-GRA process to assess the English classroom teaching effect. First of all, the concepts of IVIFSs are reviewed. In addition, the weights of criteria are derived through the CRITIC method. Afterwards, the GRA model is extended to IVIFSs to get the final result of the alternative. Therefore, all alternatives could be ranked and the optimal one with English classroom teaching effect can be identified. At last, a given numerical example and some given comparative studies are obtained. The analysis results show that the defined algorithms are effective for solving the English classroom teaching effect evaluation.

Fault Diagnosis of Civil Aircraft Electrical Power System Based on Triangular Fuzzy Number and Grey Relational Analysis

Abstract The stable operation of the aircraft electrical power system is closely related to aircraft’s function implementation and safety. Therefore, research on fault diagnosis of aircraft electrical system is important and necessary. This paper proposes a fault diagnosis method of civil aircraft power system based on triangular fuzzy number and grey relational analysis. For the purpose of obtaining complete data, it takes into account single fault symptom and historical data, and keeps the fuzzy feature from initial estimation of diagnosis scheme to the end. The example analysis shows that this method has feasibility and efficiency in practical application.

Applying Improved Fuzzy Grey Relation Analysis Algorithm in Multi-objective Optimization for High-Speed Milling of 4Cr5MoSiV Steel

Applying Improved Fuzzy Grey Relation Analysis Algorithm in Multi-objective Optimization for High-Speed Milling of 4Cr5MoSiV Steel

A Pythagorean fuzzy ANP-QFD-Grey relational analysis approach to prioritize design requirements of sustainable supply chain

A sustainable supply chain (SSC) is vital for company’s sustainability success, so it is imperative to identify and prioritize SSC’s design requirements (DRs) for better SSC planning. For customer-centric markets, the customer requirements (CRs) need to be integrated into SSC’s DRs. This paper thus proposes a customer-centric approach based on Analytic Network Process (ANP), Quality Function Deployment (QFD), Grey Relational Analysis (GRA), and Pythagorean Fuzzy Set (PFS) to rank SSC’s DRs, considering CRs and information ambiguity. The PFS is combined with ANP, QFD, and GRA to better handle uncertainty in the SSC. The Pythagorean fuzzy ANP is applied to analyze the correlations among the sustainable CRs and determine the corresponding weights. The sustainable CRs are transformed into the DRs using the Pythagorean fuzzy QFD. The relationships among the resulting DRs are analyzed through Pythagorean fuzzy GRA to prioritize DRs. The approach is validated through a case study. The results obtained in this paper shows that the proposed method is efficient to prioritize DRs of SSC with the consideration of sustainable CRs under uncertain environment. The novelties of proposed method are that it not only offers a customer-oriented SSC planning method through the integration of ANP, QFD and GRA, but also can reflect the uncertain information with a broader membership representation space via PFSs. Based on the proposed method, the decision-maker can conduct comprehensive analysis to prioritize DRs and design appropriate SSC to fulfill CRs under uncertain environment.

SF-GRA method based on cumulative prospect theory for multiple attribute group decision making and its application to emergency supplies supplier selection

Emergency supplies supplier selection can be regarded as a classic multiple attribute group decision making (MAGDM) problem. MAGDM is an interesting everyday problem full of uncertainty and ambiguity. As a new extension of fuzzy sets (FSs), spherical fuzzy sets (SFSs) can express vague and complex information in MAGDM more comprehensively. The gray relational analysis (GRA) is a practical method to process MAGDM problems. Furthermore, the cumulative prospect theory (CPT) can well capture the psychological behaviors of decision makers (DMs) in the assessment process. Therefore, in this paper, a spherical fuzzy GRA based on CPT (SF-CPT-GRA) method is proposed for MAGDM issues. In the meantime, the CRiteria Importance Through Intercriteria Correlation (CRITIC) method is used under the spherical fuzzy environment to obtain unknown attribute weights, which enhances the rationality of weight information. Finally, an example of emergency supplies supplier selection is given to illustrate the practicality of the proposed method. Sensitivity analysis and further comparative analysis attest the stability and validity of SF-CPT-GRA method. The proposed method takes full account of the influence of DMs’ risk attitude on decision result, which integrates CPT with GRA (CPT-GRA) and uses SFSs to express DMs’ preference information, making the decision results more scientific. Moreover, the SF-CPT-GRA method provides some references for dealing with other complex uncertain problems and further extension of CPT-GRA method in other decision environments.

System Portfolio Selection based on GRA Method Under Hesitant Fuzzy Environment

The hesitant fuzzy set (HFS) is an important tool to deal with uncertain and vague information. In equipment system portfolio selection, the index attribute of the equipment system may not be expressed by precise data; it is usually described by qualitative information and expressed as multiple possible values. We propose a method of equipment system portfolio selection under hesitant fuzzy environment. The hesitant fuzzy element (HFE) is used to describe the index and attribute values of the equipment system. The hesitation degree of HFEs measures the uncertainty of the criterion data of the equipment system. The hesitant fuzzy grey relational analysis (GRA) method is used to evaluate the score of the equipment system, and the improved HFE distance measure is used to fully consider the influence of hesitation degree on the grey correlation degree. Based on the score and hesitation degree of the equipment system, two portfolio selection models of the equipment system and an equipment system portfolio selection case is given to illustrate the application process and effectiveness of the method.

Experimental Investigation of AWJ Slicing of Single Crystal Silicon Using Fuzzy Grey Relational Analysis (FGRA)

Experimental Investigation of AWJ Slicing of Single Crystal Silicon Using Fuzzy Grey Relational Analysis (FGRA)

A new environment-friendly magnetorheological finishing and fuzzy grey relation analysis in Ti-6Al-4V alloy polishing

In this study, a naturally sourced cutting oil mixture using for the magnetorheological finishing (MRF) as an environmentally friendly carrier liquid. In addition, fuzzy grey relation analysis has been developed to predict and give optimal cutting parameters, the main factors affecting surface quality and material removal rate (MRR) identified. Experimental polishing procedures Ti-6Al-4V alloy were performed to confirm the availability of MRF models of the surface quality and MRR proposed. The fuzzy grey levels of elements to the polishing surface quality, namely the workpiece speed (nw), working distances (K), MRF carrier speed (nMRF) and feed rate (F), were 0.6983, 0.8057, 0.7818, and 0.7817, respectively. The analysis showed that the working distances (K) showed the most remarkable influence on the polishing effect, while the effect of workpiece speed (nw) was the least important. Microscopic observations significantly minimize scratches on the surface. This observation provides an excellent reference value for high surface quality and material removal rate when polishing Ti-6Al-4V alloys.

ASSESSING THE SUSTAINABILITY OF MANUFACTURING PROCESSES IN THE MANUFACTURE OF TRANSPORT EQUIPMENT, BASED ON FUZZY GREY RELATIONAL ANALYSIS

his paper presents a sustainability assessment of manufacturing processes for transport equipment, using fuzzy grey relational analysis. The metrics or sub-indicators for sustainability indicators and their relative applications in the manufacturing processes are used to create sustainability matrices, which are then compared with an ideal series in order to determine grades for the processes using the grey relational model. Grades in the form of values are determined for the performances of the manufacturing processes of four different kinds of transport equipment. The grades identified manufacturing processes in which the performance of the sustainability indicators could be improved. Keywords Sustainability assessment; Manufacturing Processes; sustainability indicators; Transport equipment manufacturing; Fuzzy Grey Relational Analysis.

Multi-objective optimization of thermal-hydraulic performance in a microchannel heat sink with offset ribs using the fuzzy grey approach

The effect of four geometrical parameters (width of the offset ribs, depth of the offset ribs, incline angle of the offset ribs, and distance between the adjacent offset ribs) on heat transfer enhancement, friction loss, and performance evaluation criteria is analyzed on the basis of the orthogonal experimental design (OED) method and fuzzy grey relational analysis (FGRA). Results of FGRA reveals that depth is the most influential factor in heat transfer enhancement, width affects the friction loss more than others, whereas incline angle is the most significant factor in the performance evaluation criteria (PEC) of microchannel heat sink (MHS). A series of S-shaped staggered triangular offset ribs (SSTOR) is proposed to strengthen the performance of MHS based on the results of FGRA. The MHSs with novel offset ribs are studied at different Reynolds numbers from 100 to 1000 to find the optimal offset ribs. The average Nusselt number, pressure drop, PEC, and maximum temperature at the bottom wall of the MHS with five different novel offset ribs are discussed. The result shows that the optimal offset rib structure, SSTOR-45, can significantly improve the behavior of MHS with PEC = 1.36 at Re = 1000. Furthermore, this work offers an excellent reference for MHS design in the electronic package heat dissipation field.

The Service Quality Evaluation of Agricultural E‐Commerce Based on Interval‐Valued Intuitionistic Fuzzy GRA Method

The service quality evaluation of agricultural business‐to‐customer (B2C) e‐commerce is viewed as a multiattribute group decision‐making (MAGDM) activity. Thus, a useful MAGDM process is required. Based on the grey relational analysis (GRA) process and the interval‐valued intuitionistic fuzzy set (IVIFS), this study defines an interval‐valued intuitionistic fuzzy (IVIF) GRA process to depict the service quality of agricultural B2C e‐commerce. This is important to agricultural B2C e‐commerce because this industry increases rapidly and many new services are innovated. In this article, some necessary definitions related to IVIFSs are reviewed. Additionally, criteria weights are derived using the Criteria Importance Through Intercriteria Correlation method (CRITIC). Subsequently, the GRA method is extended to incorporate IVIFs to obtain a final service alternative. All alternatives can then be ranked, and the best service quality option can be identified and promulgated. Finally, a numerical example and some useful comparative studies are obtained. The analysis results show that the defined algorithm is effective for identifying the service qualities of agricultural B2C e‐commerce, which provide a new assessment method for MAGDM.

Thermoplastic composites of polypropylene/biopolymer blends and wood flour: Parameter optimization with fuzzy-grey relational analysis

In this study, blends of polypropylene (PP) with polylactic acid (PLA) and polyhydroxybutyrate (PHB) biopolymers and wood flour were prepared, and Fuzzy and Grey Multi-Criteria Decision-Making (MCDM) methods were used to determine the blends with the best properties. The physical, mechanical, thermal, structural, and morphological properties of the composites were determined. The obtained results showed that PLA and wood flour generally improved the mechanical properties of the PP composites. However, wood flour did not exhibit a homogeneous distribution in the matrix. The density of the composites generally increased with the addition of both PLA and PHB. X-ray diffraction analysis showed that the crystallinity index of the composites generally decreased due to the low crystallinity of biopolymers. Thermal stability did not change with the addition of PLA and PHB, but the addition of wood increased thermal stability. According to the MCDM analysis, both Fuzzy and Grey results were similar.