Weight Assignment Logic

Minimum cost strategic weight assignment for multiple attribute decision-making problem using robust optimization approach

Computational and Applied Mathematics ◽

10.1007/s40314-021-01583-7 ◽

2021 ◽

Vol 40 (6) ◽

Author(s):

Xiaowan Jin ◽

Ying Ji ◽

Shaojian Qu

Keyword(s):

Decision Making ◽

Robust Optimization ◽

Minimum Cost ◽

Multiple Attribute Decision Making ◽

Optimization Approach ◽

Weight Assignment ◽

Multiple Attribute ◽

Decision Making Problem

Download Full-text

Calculation Method of Permanent Deformation of Asphalt Mixture Based on Interval Number

Materials ◽

10.3390/ma14092116 ◽

2021 ◽

Vol 14 (9) ◽

pp. 2116

Author(s):

Yue Xiao ◽

Limin Tang ◽

Jiawei Xie

Keyword(s):

Interval Analysis ◽

Calculation Method ◽

Design Theory ◽

Permanent Deformation ◽

Asphalt Mixture ◽

Design Parameters ◽

Interval Variable ◽

Road Design ◽

Weight Assignment ◽

Variable Weight

There are great uncertainties in road design parameters, and the traditional point numerical calculation results cannot reflect the complexity of the actual project well. Additionally, the calculation method of road design theory based on interval analysis is more difficult in the use of uncertain design parameters. In order to simplify the calculation process of the interval parameters in the road design theory, the asphalt pavement design is taken as the analysis object, and the permanent deformation of the asphalt mixture is simplified by combining the interval analysis theory. Considering the uncertainty of the design parameters, the data with boundaries but uncertain size are expressed in intervals, and then the interval calculation formula for the permanent deformation of the asphalt mixture is derived, and the interval results are obtained. In order to avoid the dependence of interval calculation on the computer code, according to the interval calculation rule, the interval calculation method with the upper and lower end point values as point operations is proposed. In order to overcome the contradiction between interval expansion results and engineering applications, by splitting the multi-interval variable formulas, the interval variable weights are reasonably given, and the synthesis of each single interval result realizes a simplified calculation based on interval variable weight assignment. The analysis results show that the interval calculation method based on the point operation rule is accurate and reliable, and the simplified method based on the interval variable weight assignment is effective and feasible. The simplified interval calculation method proposed in this paper provides a reference for the interval application of road design theory.

Download Full-text