在顺序优先方法 (OPA) 中估计标准权重的严格和弱顺序关系
Amin Mahmoudi1, Saad Ahmed Javed2
1Department of Construction and Real Estate, School of Civil Engineering, Southeast University, 210096 Nanjing, China.
MethodsX
|October 4, 2023
概括
对决策的顺序优先方法 (OPA) 已被证明是严格的顺序,而不是弱. 本研究介绍了严格和弱的OPA形式,增强对2020多属性决策方法的理解.
科学领域:
- 运营研究 运营研究
- 决策科学 决策科学 决策科学
背景情况:
- 2020年推出的顺序优先方法 (OPA) 是一种使用线性编程的多属性决策方法.
- 近年来,OPA因其适用于现实世界的决策问题而受到关注.
研究的目的:
- 提出和分析OPA的两种新形式:一种具有严格的顺序关系 (OPA-S),另一种具有弱顺序关系 (OPA-W).
- 为了加深对原始OPA的数学基础的理解.
- 引入一个统一的模型,能够同时处理严格和弱顺序关系.
主要方法:
- 开发了OPA的两种新配方:OPA-S和OPA-W.
- 数学分析,将拟议的形式与原来的OPA进行比较.
- 将开发的模型应用于消费者决策问题.
主要成果:
- 证明其中一个拟议的形式是数学上相当于原来的OPA.
- 证明原来的OPA本质上是在严格的顺序关系下运作.
- 识别OPA的新型数学属性.
- 在实际的消费者建模场景中成功应用OPA-S和OPA-W.
结论:
- 顺序优先方法基本上是一个严格的顺序方法.
- 拟议的OPA-S和OPA-W为分析不同程度的偏好信息的决策问题提供了有价值的扩展.
- 统一模型为复杂的决策场景提供了灵活的框架.
相关概念视频
Ordinal Level of Measurement
24.8K
The way a set of data is measured is called its level of measurement. Correct statistical procedures depend on a researcher being familiar with levels of measurement. For analysis, data are classified into four levels of measurement—nominal, ordinal, interval, and ratio.
Data measured using an ordinal scale are similar to nominal scale data, but there is one major difference. The ordinal scale data can be ordered. An example of ordinal scale data is a list of the top five national parks...
Data measured using an ordinal scale are similar to nominal scale data, but there is one major difference. The ordinal scale data can be ordered. An example of ordinal scale data is a list of the top five national parks...
24.8K
Ranks
259
Unlike parametric methods, nonparametric statistics are ideal for nominal and ordinal data, requiring fewer assumptions about the population's nature or distribution. This makes nonparametric methods easier to apply and interpret, as they do not depend on parameters like mean or standard deviation. One common approach in nonparametric analysis is to sort data according to a specific criterion. For instance, we might arrange weather data from hottest to coldest days in a month or rank cities...
259
Ratio Level of Measurement
18.4K
The way a set of data is measured is called its level of measurement. Correct statistical procedures depend on a researcher being familiar with levels of measurement. For analysis, data are classified into four levels of measurement—nominal, ordinal, interval, and ratio.
A set of data measured using the ratio scale takes care of the ratio problem and provides complete information. Ratio scale data are like interval scale data, except they have a zero point and ratios can be calculated....
A set of data measured using the ratio scale takes care of the ratio problem and provides complete information. Ratio scale data are like interval scale data, except they have a zero point and ratios can be calculated....
18.4K
Weighted Mean
5.2K
While taking the arithmetic, geometric, or harmonic mean of a sample data set, equal importance is assigned to all the data points. However, all the values may not always be equally important in some data sets. An intrinsic bias might make it more important to give more weightage to specific values over others.
For example, consider the number of goals scored in the matches of a tournament. While computing the average number of goals scored in the tournament, it may be more important to...
For example, consider the number of goals scored in the matches of a tournament. While computing the average number of goals scored in the tournament, it may be more important to...
5.2K
Nominal Level of Measurement
29.7K
The way a set of data is measured is called its level of measurement. Correct statistical procedures depend on a researcher being familiar with levels of measurement. Not every statistical operation can be used with every set of data. For analysis, data are classified into four levels of measurement—nominal, ordinal, interval, and ratio.
The data that cannot be measured but can be grouped into categories fall under the nominal level of measurement. Data that is measured using a nominal...
The data that cannot be measured but can be grouped into categories fall under the nominal level of measurement. Data that is measured using a nominal...
29.7K
Friedman Two-way Analysis of Variance by Ranks
226
Friedman's Two-Way Analysis of Variance by Ranks is a nonparametric test designed to identify differences across multiple test attempts when traditional assumptions of normality and equal variances do not apply. Unlike conventional ANOVA, which requires normally distributed data with equal variances, Friedman's test is ideal for ordinal or non-normally distributed data, making it particularly useful for analyzing dependent samples, such as matched subjects over time or repeated measures...
226


