The value A(x) for a particular x is typically associated with a degree of belief of some expert. There is now a quite extensive theory of fuzzy sets, the basics involving putting operations on the set ?J'(S) of all fuzzy subsets of the set S. These operations stem from operations on the unit interv
Some general comments on fuzzy sets of type-2
β Scribed by Carol L. Walker; Elbert A. Walker
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 111 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0884-8173
No coin nor oath required. For personal study only.
β¦ Synopsis
This paper contains some general comments on the algebra of truth values of fuzzy sets of type 2. It details the precise mathematical relationship with the algebras of truth values of ordinary fuzzy sets and of interval-valued fuzzy sets. Subalgebras of the algebra of truth values and t-norms on them are discussed. There is some discussion of finite type-2 fuzzy sets.
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