基于新的费尔马特模糊相似度和度的多属性决策
Reham A Alahmadi1, Abdul Haseeb Ganie2, Yousef Al-Qudah3
1Basic Sciences Department, College of Science and Theoretical Studies, Saudi Electronic University, PO Box 93499, Riyadh, 11673 Kingdom of Saudi Arabia.
概括
费尔马特模糊集提供优越的不确定性处理. 这项研究引入了新的费尔马特模糊相似度和度,增强了多标准决策和模式分析.
科学领域:
- 决策科学 决策科学
- 信息科学 信息科学 信息科学
- 模糊的数学 模糊的数学
背景情况:
- 模糊的集合理论及其扩展 (直觉主义,毕达哥拉斯) 用于模拟不确定性.
- 模糊相似度和对于多标准决策 (MCDM) 和模式分析至关重要.
- 与现有的模糊模型相比,费尔马特模糊集 (FFS) 提供了一个更有效的不确定性框架.
研究的目的:
- 通过使用t-conorms提出新的费尔马特模糊相似性测量方法.
- 根据建议的相似度,开发新的费尔马特模糊度测量方法.
- 在Fermatean模糊环境中引入改进的MCDM方法.
主要方法:
- 开发使用t-conorms的费尔马特模糊相似性测量方法.
- 从拟议的相似度指标中导出费尔马特模糊度指标.
- 应用数值比较,语言对冲和模式分析进行验证.
- 制定一种新的MCDM方法,以解决现有方法的局限性.
主要成果:
- 拟议的费尔马特模糊相似度和度的测量方法显示出它们对现有方法的优越性.
- 数字和语言分析证实了新措施的有效性.
- 模式分析验证了拟议的相似性指标的有用性.
- 介绍了一种新的MCDM方法,解决了传统TOPSIS方法中的一个关键问题.
结论:
- 费尔马特模糊集合在处理复杂决策问题的不确定性方面非常有效.
- 新开发的相似性和度措施为FFS提供了显著的改进.
- 拟议的MCDM方法在费尔马特模糊环境中提高了决策准确性和可靠性.
更多相关视频
相关概念视频
Decision Making: Traditional Method
4.0K
The process of hypothesis testing based on the traditional method includes calculating the critical value, testing the value of the test statistic using the sample data, and interpreting these values.
First, a specific claim about the population parameter is decided based on the research question and is stated in a simple form. Further, an opposing statement to this claim is also stated. These statements can act as null and alternative hypotheses, out of which a null hypothesis would be a...
First, a specific claim about the population parameter is decided based on the research question and is stated in a simple form. Further, an opposing statement to this claim is also stated. These statements can act as null and alternative hypotheses, out of which a null hypothesis would be a...
4.0K
Decision Making: P-value Method
5.3K
The process of hypothesis testing based on the P-value method includes calculating the P- value using the sample data and interpreting it.
First, a specific claim about the population parameter is proposed. The claim is based on the research question and is stated in a simple form. Further, an opposing statement to the claim is also stated. These statements can act as null and alternative hypotheses: a null hypothesis would be a neutral statement while the alternative hypothesis can...
First, a specific claim about the population parameter is proposed. The claim is based on the research question and is stated in a simple form. Further, an opposing statement to the claim is also stated. These statements can act as null and alternative hypotheses: a null hypothesis would be a neutral statement while the alternative hypothesis can...
5.3K
Friedman Two-way Analysis of Variance by Ranks
190
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...
190
F Distribution
3.7K
The F distribution was named after Sir Ronald Fisher, an English statistician. The F statistic is a ratio (a fraction) with two sets of degrees of freedom; one for the numerator and one for the denominator. The F distribution is derived from the Student's t distribution. The values of the F distribution are squares of the corresponding values of the t distribution. One-Way ANOVA expands the t test for comparing more than two groups. The scope of that derivation is beyond the level of this...
3.7K
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
53
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
53
Heuristics
89
Heuristics are problem-solving strategies that use mental shortcuts to simplify decision-making. Unlike algorithms, which must be followed precisely to achieve a correct result, heuristics offer a general problem-solving framework. They save time and energy but can sometimes lead to less rational decisions.
People often rely on heuristics when faced with an overload of information, limited time, low importance of the decision, limited information, or when a heuristic readily comes to mind. For...
People often rely on heuristics when faced with an overload of information, limited time, low importance of the decision, limited information, or when a heuristic readily comes to mind. For...
89


