Please use this identifier to cite or link to this item: http://cmuir.cmu.ac.th/jspui/handle/6653943832/55936
Title: Membership functions representing a number vs. representing a set: Proof of unique reconstruction
Authors: Hung T. Nguyen
Vladik Kreinovich
Olga Kosheleva
Keywords: Mathematics
Issue Date: 7-Nov-2016
Abstract: © 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 μ(S) corresponding to all possible crisp sets S, can we reconstruct the original membership function In this paper, we show that the original membership function μ(x) can indeed be uniquely reconstructed from the values μ(S).
URI: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85006725079&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/55936
Appears in Collections:CMUL: Journal Articles

Files in This Item:
There are no files associated with this item.


Items in CMUIR are protected by copyright, with all rights reserved, unless otherwise indicated.