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 。
模糊集:集合中隶属度变化的元素的集成称为模糊集。 “模糊”一词表示模糊性,另一方面,我们可以说不同程度隶属度之间的替换意味着模糊集的模糊性和歧义性。因此,根据用于检测不确定性和模糊性的函数来测量集合中来自宇宙的元素的成员资格。
S.No |
Crisp Set |
Fuzzy Set |
1 |
Crisp set defines the value is either 0 or 1. | Fuzzy set defines the value between 0 and 1 including both 0 and 1. |
2 |
It is also called a classical set. | It specifies the degree to which something is true. |
3 |
It shows full membership | It shows partial membership. |
4 |
Eg1. She is 18 years old. Eg2. Rahul is 1.6m tall |
Eg1. She is about 18 years old. Eg2. Rahul is about 1.6m tall. |
5 |
Crisp set application used for digital design. | Fuzzy set used in the fuzzy controller. |
6 |
It is bi-valued function logic. | It is infinite valued function logic |
7 |
Full membership means totally true/false, yes/no, 0/1. | Partial membership means true to false, yes to no, 0 to 1. |
结论:
离散集理论的部分是模糊集和明晰集,其中在模糊集合中实现了无有限数的逻辑,而在明晰集中实现了两个逻辑数。
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