Abstract
We discuss the concept of a level set of a fuzzy set and the related ideas of the representation theorem and the extension principle. We then describe the extension of these ideas to the case of interval valued fuzzy sets (IVFS). What is important to note here is that in the case of interval valued fuzzy sets, the number of distinct level sets can be greater than the number of distinct membership grades of the fuzzy set being represented. In particular, the minimum of each subset of membership grades provides a level set. Morover, the membership grades are not linearly ordered and hence taking the minimum of a subset of these can result in a value that was not one of the members of the subset.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
