scholarly journals Attribute Service Performance Index Based on Poisson Process

Mathematics ◽  
2021 ◽  
Vol 9 (23) ◽  
pp. 3144
Author(s):  
Kuen-Suan Chen ◽  
Chang-Hsien Hsu ◽  
Ting-Hsin Hsu
Keyword(s):  
Poisson Process ◽  
Membership Function ◽  
Performance Index ◽  
Business Performance ◽  
Evaluation Method ◽  
Efficiency Index ◽  
Corporate Image ◽  
Service Performance ◽  
Unknown Parameters ◽  
The Membership Function

The purpose of a shop enhancing customer satisfaction is to raise its total revenue as the rate of customer purchases in the shop increases. Some studies have pointed out that the amount of customer arrival at a shop is a Poisson process. A simple and easy-to-use evaluation index proposed for the Poisson process with the attribute characteristic will help various shops evaluate their business performance. In addition, developing an excellent and practical service performance evaluation method will be beneficial to the advancement of shop service quality as well as corporate image, thereby increasing the profitability and competitiveness of the shop. As the surroundings of the internet of things (IoT) are becoming gradually common and mature, various commercial data measurement and collection technologies are constantly being refined to form a huge amount of production data. Efficient data analysis and application can assist enterprises in making wise and efficient decisions within a short time. Thus, following the simple and easy-to-use principle, this paper proposes an attribute service performance index based on a Poisson process. Since the index had unknown parameters, this paper subsequently figured out the best estimator and used the central limit theorem to derive the confidence interval of the service efficiency index based on random samples. Then, we constructed the membership function based on the α-cuts of the triangular shaped fuzzy number. Finally, we came up with a fuzzy testing model based on the membership function to improve the accuracy of the test when the sample size is small in order to meet enterprises’ needs for quick responses as well as reducing the evaluation cost.

Analysis and Simulation of Geomagnetic Map Suitability Based on Vague Set

2016 ◽  
Vol 69 (5) ◽  
pp. 1114-1124 ◽  
Author(s):  
Lihui Wang ◽  
Le Yu ◽  
Nan Qiao ◽  
Desheng Sun
Keyword(s):  
Membership Function ◽  
Evaluation Method ◽  
Score Function ◽  
Fuzzy Decision Making ◽  
Fuzzy Decision ◽  
Vague Set ◽  
Weighted Score ◽  
Optimisation Model ◽  
Optimal Area ◽  
The Membership Function

An evaluation method named vague set is proposed to describe the suitability of a geomagnetic map. It is based on the Fuzzy Decision Making (FDM) method, and overcomes the FDM model's shortcomings that favouring and opposing content cannot be taken into account simultaneously. The membership function and non-membership function are used to define the influence of the geomagnetic map parameters on map suitability, including standard deviation, information entropy, roughness and slope variance. The weight of each geomagnetic map parameter is calculated by establishing an optimisation model. Vague set data are divided into four types after classification, and Weighted Score Function Values (WSFVs) of matching areas are obtained by using the Weighted Score Function (WSF) method. Then, WSFV of each matching area are compared to select an optimal area. Simulation results demonstrate that geomagnetic map suitability is positively proportional to the function value, and matching error is negatively proportional to the WSFV of the matching area.

scholarly journals A Cultural and Functional Approach to the Assessment of Logical Thinking Ability in English Writing

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Cao Juan
Keyword(s):  
Influencing Factors ◽  
Membership Function ◽  
Evaluation Method ◽  
Comprehensive Evaluation ◽  
Fuzzy Mathematics ◽  
Logical Thinking ◽  
English Writing ◽  
Thinking Ability ◽  
And Function ◽  
The Membership Function

The analysis of influencing factors of logical thinking ability in English writing is the key effective factor of evaluating logical thinking ability in English writing. In order to accurately evaluate logical thinking ability in English writing, this paper studies the evaluation method of logical thinking ability in English writing from the perspective of culture and function. This paper analyzes the relationship between the influencing factors of logical thinking ability in English writing. The factors of text structure and language expression reflect the culture and function of logical thinking ability in English writing, respectively, which have a direct impact on logical thinking ability in English writing. From these two aspects, 15 evaluation indexes are selected to construct the evaluation system of logical thinking ability in English writing. Considering the significant fuzziness of logical thinking ability in English writing from the perspective of culture and function, the comprehensive evaluation method of fuzzy mathematics is used for the process, the evaluation criteria are determined, the evaluation matrix is constructed, and the membership function is calculated, to complete the comprehensive evaluation of fuzzy mathematics based on the membership function and weight matrix. The experimental results show that this method can accurately evaluate the logical thinking ability of English writing and can be effectively used in the area of research.

scholarly journals Environmental Performance Index: Regional Aspect

2018 ◽  
Vol 41 ◽  
pp. 02003
Author(s):  
Sergey Bereznev ◽  
Olga Zonova ◽  
Evdokiya Kulpina
Keyword(s):  
Performance Index ◽  
Environmental Performance ◽  
Efficiency Index ◽  
Environmental Indicators ◽  
Regional Level ◽  
Environmental Efficiency ◽  
Maximum Correlation ◽  
National System ◽  
Environmental Performance Index ◽  
Regional Aspect

The methodology of calculation of environmental performance index is considered in the article. The necessity of assessing the environmental efficiency index at the regional level in connection with which the authors attempted to adapt the indicators is proved; the recommendations on improving the national system of environmental indicators for the purpose of maximum correlation with the indicators of the environmental performance index are given.

The Application of Fuzzy Synthesis Evaluation Method on Assessing Bridge Durability

2012 ◽  
Vol 594-597 ◽  
pp. 1033-1037
Author(s):  
Fei Zheng ◽  
Yu Wang ◽  
Pu Yang Zhang
Keyword(s):  
Evaluation Method ◽  
Concrete Bridges ◽  
Service Performance ◽  
Fuzzy Mathematics ◽  
Factors Affecting ◽  
Index Model ◽  
Design Requirements ◽  
The Difference ◽  
Fuzzy Synthesis Evaluation ◽  
Durability Of Concrete

Assessment of the structure durability of concrete bridge in service is crucial for determining whether their service performance is meeting the design requirements or not. In this paper we classify the whole structure of bridge into two levels, i.e.bridge structure and bridge components. A two-level-multi-index model for evaluating the durability of concrete bridges in service is established based on the dependent functions of various factors, in which the dependent functions are chosen in accordance with the difference of various factors affecting the deterioration of durability of components. In this model, the durability of the bridge is divided into five different fuzzy levels: intact, disrepaired, damaged, severely damaged, and dangerous. Finally, based on fuzzy mathematics theory, the durability level of a bridge in practice is evaluated by using the maximum subordination principle.

scholarly journals Effect of Freight Transport Service Performance on Global Market Competitiveness

2021 ◽  
Vol 2 (2) ◽  
Author(s):  
Eyakem Fikru
Keyword(s):  
International Trade ◽  
Performance Index ◽  
Freight Transport ◽  
Global Market ◽  
Service Performance ◽  
Research Approach ◽  
Transport Service ◽  
Market Competitiveness ◽  
Trade Competitiveness ◽  
The Right

The producers, intermediaries, shippers, and consignees, located often thousands of miles distant from each other, require efficient transport and logistics services to get the right product with the right quality and quantity to the right place within the right time and above all at a right price. The main objective of this study was to assess the effect of freight transport service performance on international trade competitiveness. A descriptive research design was used. Secondary data were collected from international organizations' policy, standards documents, and annual report of the year 2018 by using the Logistic Performance Index rank. Moreover, a quantitative research approach was applied. The data were entered, manipulated, organized, and analyzed using Excel and Statistical Package for Social Science. Both descriptive and inferential analyses were used to identify and examine the extent of international trade competitiveness and its implication in the global market. As the result reviled the entire logistic performance factors such as Growth Domestic Product, Distance, Infrastructure, Landlocked, and Timelines were found to be significantly important to determine the global market competitiveness. But, the geographical distance between bilateral countries affected a country’s trade negatively. The top 10 higher Logistic Performance Index scores more competitive and better implementer of the effects of freight transport factors; whereas, the bottom scorers had an ineffective market link with their partners.

Possibility-Based Design Optimization Method for Design Problems With Both Statistical and Fuzzy Input Data

2005 ◽  
Vol 128 (4) ◽  
pp. 928-935 ◽  
Author(s):  
Liu Du ◽  
K. K. Choi ◽  
Byeng D. Youn ◽  
David Gorsich
Keyword(s):  
Design Optimization ◽  
Optimum Design ◽  
Membership Function ◽  
Input Data ◽  
Performance Measure ◽  
Sufficient Data ◽  
Design Problems ◽  
Fuzzy Variables ◽  
Fuzzy Input ◽  
The Membership Function

The reliability based design optimization (RBDO) method is prevailing in stochastic structural design optimization by assuming the amount of input data is sufficient enough to create accurate input statistical distribution. If the sufficient input data cannot be generated due to limitations in technical and/or facility resources, the possibility-based design optimization (PBDO) method can be used to obtain reliable designs by utilizing membership functions for epistemic uncertainties. For RBDO, the performance measure approach (PMA) is well established and accepted by many investigators. It is found that the same PMA is a very much desirable approach also for the PBDO problems. In many industry design problems, we have to deal with uncertainties with sufficient data and uncertainties with insufficient data simultaneously. For these design problems, it is not desirable to use RBDO since it could lead to an unreliable optimum design. This paper proposes to use PBDO for design optimization for such problems. In order to treat uncertainties as fuzzy variables, several methods for membership function generation are proposed. As less detailed information is available for the input data, the membership function that provides more conservative optimum design should be selected. For uncertainties with sufficient data, the membership function that yields the least conservative optimum design is proposed by using the possibility-probability consistency theory and the least conservative condition. The proposed approach for design problems with mixed type input uncertainties is applied to some example problems to demonstrate feasibility of the approach. It is shown that the proposed approach provides conservative optimum design.

scholarly journals Controllable Effective Threshold Based Fusion Coverage Algorithm in Mobile Sensor Networks

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Yong Lu ◽  
Na Sun
Keyword(s):  
Sensor Networks ◽  
Membership Function ◽  
Network Lifetime ◽  
Physical Parameters ◽  
Network Coverage ◽  
Target Node ◽  
Effective Threshold ◽  
Coverage Quality ◽  
Monitoring Area ◽  
The Membership Function

The coverage quality and network lifetime are two key parameters in the research of sensor networks. The coverage quality shows direct influences on the network lifetime. Meanwhile, it is influenced by many other factors such as physical parameters and environmental parameters. To reveal the connection between the coverage quality and the parameters of target node concerned, a fusion coverage algorithm with controllable effective threshold is proposed based on the sensing probability model. We give the model for the membership function of coverage intensity as well as the prediction model for the fusion operator. The range for the effective threshold is presented according to the membership function model. Meanwhile, the maximum of the effective coverage intensity for the target nodes within the monitoring area is derived. The derivation of the maximal fusion coverage intensity is elaborated utilizing a processing function on the distances from the target node to the ones in the sensor node set. Furthermore, we investigate different network properties within the monitoring area such as network coverage quality, the dynamic change of parameters, and the network lifetime, based on the probability theory and the geometric theory. Finally, we present numerical simulations to verify the performances of our algorithm. It is shown under different settings that, compared with the demand coverage quality, the proposed algorithm could improve the network coverage quality by 15.66% on average. The simulation experiment results show that our proposed algorithm has an average improvement by 10.12% and 13.23% in terms of the performances on network coverage quality and network lifetime, respectively. The research results are enlightening to the edge coverage and nonlinear coverage problems within the monitoring area.

FUZZY CLUSTERING OF FEATURE VECTORS WITH SOME ORDINAL VALUED ATTRIBUTES USING GRADIENT DESCENT FOR LEARNING

2008 ◽  
Vol 16 (02) ◽  
pp. 195-218
Author(s):  
ROELOF K. BROUWER
Keyword(s):  
Objective Function ◽  
Membership Function ◽  
Fuzzy Clustering ◽  
Gradient Descent ◽  
Ratio Scale ◽  
Interval Scale ◽  
Real Numbers ◽  
Fuzzy C Means Clustering ◽  
Feature Values ◽  
The Membership Function

There are well established methods for fuzzy clustering especially for the cases where the feature values are numerical of ratio or interval scale. Not so well established are methods to be applied when the feature values are ordinal or nominal. In that case there is no one best method it seems. This paper discusses a method where unknown numeric variables are assigned to the ordinal values. Part of minimizing an objective function for the clustering is to find numeric values for these variables. Thus real numbers of interval scale and even ratio scale for that matter are assigned to the original ordinal values. The method uses the same objective function as used in fuzzy c-means clustering but both the membership function and the ordinal to real mapping are determined by gradient descent. Since the ordinal to real mapping is not known it cannot be verified for its legitimacy. However the ordinal to real mapping that is found is best in terms of the clustering produced. Simulations show the method to be quite effective.

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