\((s,t]\)-intuitionistic convex fuzzy sets. (English) Zbl 1195.03052
Cao, Bing-yuan (ed.) et al., Fuzzy Information and Engineering 2010 (ACFIE 2010). Proceedings of the 5th annual conference, Huludao, China, September 23–27, 2010. Berlin: Springer (ISBN 978-3-642-14879-8/pbk; 978-3-642-14880-4/ebook). Advances in Intelligent and Soft Computing 78, 75-84 (2010).
Summary: Based on the concept of cut sets on the intuitionistic fuzzy sets and the neighborhood relations between a fuzzy point and an intuitionistic fuzzy set, we define 16 kinds of \((\alpha ,\beta )\)-intuitionistic convex fuzzy sets for \(\alpha ,\beta \in { \in ,q, \in \land q, \in \vee q }\), and the relationships between them are investigated. According to the above discussion, the \((s,t]\)-intuitionistic convex fuzzy set is derived. Finally, results are obtained for operations properties of the \((s,t]\)-intuitionistic convex fuzzy sets.
See also the complete book review [Zbl 1202.94007].
For the entire collection see [Zbl 1202.94007].
See also the complete book review [Zbl 1202.94007].
For the entire collection see [Zbl 1202.94007].
MSC:
| 03E72 | Theory of fuzzy sets, etc. |
