



免费预览已结束,剩余1页可下载查看
下载本文档
版权说明:本文档由用户提供并上传,收益归属内容提供方,若内容存在侵权,请进行举报或认领
文档简介
模糊数学练习题(聊城大学期末考试)1.What is a lattice? State the fundamental properties of the lattice.2.State the Decomposition theorem III on a fuzzy set.Let the universe, the fuzzy sets A and B as following.3.Calculate the union, intersection, complements ,difference AB, and level .4. State and prove the representation theorem III.5. A lattice is complete if every non-empty subset of L has a supremum and an infimum. Prove the following conclusion that A bounded lattice is complete every nonempty subset of L has an infimum.6. Let be a fuzzy matrix. Calculate the transitive closure t(A) of A.Exercise B1. What is a Boolean algebra? Give an example of the Boolean algebra.2. What is a fuzzy similarity relation? How to get the product of fuzzy relations?3. Let be a Boolean algebra defined by Huntington. Prove satisfies the idempotency and the absorption laws.4. State and prove the Decomposition theorem I on a fuzzy set.5. Prove the following proposition. Let be an algebraic structure consisting of non-void set and two binary operations and . If and satisfy the commutativity, the associativity, the idempotency and the absorption laws, then is a lattice as a poset6. Let f be a X-Y mapping and a fuzzy subset of X, then 1. What is a fuzzy set? Why to say the fuzzy set is the generalization of the classical set?2. Prove the conclusion that (0,1, max, min, 1-) is completely distributive.3. Let be a Boolean algebra defined by Huntington. Prove satisfies the idempotency and the absorption laws.4. Given the universe , and the fuzzy set is the following. Calculate the Hamming index of , the Euclidean index of .5. Let f be a X-Y mapping and a fuzzy subset of X, then .6. If a union operator U is distributive with respect to a intersection operator I and satisfies the condition , then I is idempotentExercise D1. What is a convex fuzzy set? Let the universe , the fuzzy set is represented by . Verify the fuzzy set is a convex fuzzy set.2. Let the universe , and the fuzzy set is the following .(1) Calculate the probabilistic sum , and the product .(2) Calculate the Hamming index of , the Euclidean index of .3. What is the excluded middle law in the classical set theory? Let the universe , and the fuzzy setsVerify the excluded middle law doesnt satisfy in fuzzy set theory.4. If a union operator satisfies the law of the excluded middle then is not idempotent.5. Let A be a fuzzy matrix, then(1) The transitive closure of A
温馨提示
- 1. 本站所有资源如无特殊说明,都需要本地电脑安装OFFICE2007和PDF阅读器。图纸软件为CAD,CAXA,PROE,UG,SolidWorks等.压缩文件请下载最新的WinRAR软件解压。
- 2. 本站的文档不包含任何第三方提供的附件图纸等,如果需要附件,请联系上传者。文件的所有权益归上传用户所有。
- 3. 本站RAR压缩包中若带图纸,网页内容里面会有图纸预览,若没有图纸预览就没有图纸。
- 4. 未经权益所有人同意不得将文件中的内容挪作商业或盈利用途。
- 5. 人人文库网仅提供信息存储空间,仅对用户上传内容的表现方式做保护处理,对用户上传分享的文档内容本身不做任何修改或编辑,并不能对任何下载内容负责。
- 6. 下载文件中如有侵权或不适当内容,请与我们联系,我们立即纠正。
- 7. 本站不保证下载资源的准确性、安全性和完整性, 同时也不承担用户因使用这些下载资源对自己和他人造成任何形式的伤害或损失。
最新文档
- 太原c证安全员题库及答案解析
- 仓储安全案例及分析题库及答案解析
- 建筑岗前培训考试试卷及答案解析
- 大队干部竞选演讲稿
- 淡水鱼营养与饲料知识培训课件
- 淀粉测定课件
- 考点攻克人教版八年级《简单机械》同步训练试题(解析卷)
- 2025年预检分诊制度考试试题及答案
- 公司客服工作总结
- 难点详解苏科版八年级物理下册《压强和浮力》重点解析练习题(含答案详解)
- 校园师生矛盾纠纷排查制度
- 房地产开发与经营教案
- 四川九寨沟国家地质公园规划(2022-2035年)
- 3输变电工程施工质量验收统一表式(变电工程电气专业)-2024年版
- GB 44495-2024汽车整车信息安全技术要求
- NBA球星库里课件
- 顶管施工危险源辨识及风险评价表
- 充电桩维护合同
- 工程项目质量风险源识别及管控措施
- 中医护理适宜技术实施方案
- 工业厂区规划设计说明书
评论
0/150
提交评论