一项关于球形模糊软Dombi聚合运算符及其应用于多标准决策的新奇研究
Xiaopeng Yang1, Tahir Mahmood2, Jabbar Ahmmad2
1Department of Mathematics and Statistics, Hanshan Normal University, China.
Heliyon
|July 24, 2023
概括
这项研究引入了带有禁欲度的球形模糊软集,克服了现有的模糊理论的局限性. 新的Dombi运营法和聚合运营商提高了复杂问题的决策模式.
科学领域:
- 模糊的集合理论 模糊的集合理论
- 决策 决策 决策 决策 决策
- 计算智能是一种计算智能.
背景情况:
- 传统的模糊集合往往缺乏表示不确定性的能力,特别是禁欲度 (AD).
- 像直觉主义,毕达哥拉斯和q-rung orthopair fuzzy soft sets这样的现有理论主要集中在会员和非会员程度上,忽视了AD.
- 球形模糊软集通过结合会员,非会员和戒断等级提供了更全面的框架.
研究的目的:
- 为球形模糊软数开发新的多比运算定律.
- 根据这些新法律,引入聚合运营商 (平均,加权,有序加权,混合).
- 建立使用这些运营商的多重标准决策 (MCDM) 方法.
主要方法:
- 球形模糊软集与多比t-norm和t-conorm的整合.
- 为球形模糊软数开发基本的多比运算定律.
- 球形模糊软 Dombi 聚合运算符的表述 (平均,加权,有序加权,混合).
主要成果:
- 成功定义了球形模糊软数的多比运算定律.
- 介绍并分析了球形模糊软Dombi聚合运算符的特性.
- 通过一个解释性示例和比较分析,证明了一种新的MCDM方法的有效性.
结论:
- 拟议的球形模糊软Dombi聚合运算符为决策提供了强大的工具.
- 基于这些操作员开发的MCDM方法显示出它在现有方法上的优越性.
- 这项研究扩大了模糊集合理论在处理不确定性复杂决策场景中的应用.
相关概念视频
01:09Decision Making: P-value Method
5.5K
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...
5.5K
01:14Decision Making: Traditional Method
4.1K
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...
4.1K
01:20Decision Making
143
Decision-making is a fundamental cognitive process that involves evaluating alternatives and selecting among them. This process can range from simple choices, such as deciding what to wear, to complex decisions, like choosing a major in college or a career path. The complexity of the decision often dictates the approach we use, which can be broadly categorized into two types: automatic and controlled decision-making.
Automatic decision-making is fast, intuitive, and relies on gut feelings...
Automatic decision-making is fast, intuitive, and relies on gut feelings...
143
01:06Collisions in Multiple Dimensions: Problem Solving
4.3K
In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...
4.3K
01:29Aggregates Classification
348
Aggregate classification is generally based on its size, petrographic characteristics, weight, and source. Size classification ranges from coarse to fine aggregates, defined by the size of the particles. Coarse aggregates are particles that do not pass through ASTM sieve No. 4, and aggregates that pass through the sieve are fine aggregates.
Petrographic classification groups aggregates based on common mineralogical characteristics. Some of the common mineral groups found in aggregates are...
Petrographic classification groups aggregates based on common mineralogical characteristics. Some of the common mineral groups found in aggregates are...
348
01:19Routh-Hurwitz Criterion II
296
In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
296