Crisp Set:可数性和有限性是相同的性质,是crisp set的集合对象。 ‘X‘ 是一个清晰的集合,定义为存在于全能集上的一组元素,即U。在这种情况下,随机元素可能是X的一部分,也可能不是X的一部分,这意味着可以通过两种方式定义集合。这些是第一个元素将来自集合X,或者它不来自X。
Crisp Set(清晰集合)和Fuzzy Set(模糊集合)是数学中的两种不同的概念,它们之间的区别在于它们描述元素的方式。 Crisp Set Crisp Set是元素具有精确值的集合。例如,一个集合{1,2,3,4,5}中的元素具有精确的值,我们可以准确地知道集合中是否包含特定元素。 Crisp Set通常用于决策问题中,因为它们的值具有明确的含义...
摘要: The computation procedure of similarity between fuzzy set and crisp set is derived. The proposed similarity measure is constructed through distance measure. And our results are compared with those of关键词: distance measure fuzzy entropy similarity measure ...
This paper presents a new approach for projecting a fuzzy number over a crisp closed convex set. Based on this approach, a kind of fuzzy linear projection equation is introduced and also it is used to solve a fuzzy system of linear equations with crisp variables, fuzzy righthand side, and ...
The research set out to answer pressing questions about the general implementation of PV systems, such as the technology needs for GCPVS and the answers to harmonic problems69. Bai et al. introduce a fault ride-through method for grid-tied PV systems, enhancing their performance during voltage ...
8, the distance factor is not considered when fuzzy sets \(A \text { and } A'\) are both crisp. This is because the shapes of the fuzzy set need to be considered by the representative values as contributing elements of the distance factor when the objects are fuzzy sets, but there ...
(FL) is almost synonymous with the theory of fuzzy sets, a theory which relates to classes of objects without crisp, clearly defined boundaries. In such cases, membership in a set is a matter of degree. In this perspective, fuzzy logic in its narrow sense is a branch of FL. Even in ...
A triangular fuzzy number (TFN), usually denoted by , where and , is a FS in the set of real numbers whose membership function is defined as follows:(1) Definition 3 Let be a TFN. The defuzzification rule that will be used to determine the crisp value associated with is as follows:(...
In this study, a novel model is presented to forecast the time series data set based on the fuzzy time series (FTS) concept. To remove various drawbacks associated with the FTS modeling approach, this study incorporates significant changes in the existin
A fuzzy number is a fuzzy set in which the membership function satisfy condition of normality and of convexity and a triangular fuzzy number (TFN) is a set of 3 crisp numeric value can be expressed as µ = [l, m, u] where [l < m < u] and in case of [l =...