Membership functions representing a number vs. representing a set: Proof of unique reconstruction

• Main Authors: Hung T. Nguyen, Vladik Kreinovich, Olga Kosheleva
• 格式: Conference Proceeding
• 出版: 2018
• 主題: Mathematics
• 在線閱讀: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85006725079&origin=inward; http://cmuir.cmu.ac.th/jspui/handle/6653943832/55936

© 2016 IEEE. In some cases, a membership function μ(x) represents an unknown number, but in many other cases, it represents an unknown crisp set. In this case, for each crisp set S, we can estimate the degree μ(S) to which this set S is the desired one. A natural question is: once we know the values...