Title :
β-convergence theory of L-fuzzy ideals and its applications
Author :
Chen, Bin ; Li, Jinjin
Author_Institution :
Sch. of Sci., Univ. of Jinan, Jinan, China
Abstract :
The convergence theory not only is a significantly basic theory of fuzzy topology and fuzzy analysis but also has wide applications in fuzzy inference and some other aspects. In this paper, the β-convergence theory of L-fuzzy ideals is explored by the concept of β-remote-neighborhood, and the relationships of L-fuzzy ideals and L-fuzzy nets are discussed. In addition, some properties of the notions mentioned above and β-continuity and β-irresoluteness are studied with the aid of the β-convergence of L-fuzzy ideals.
Keywords :
convergence; fuzzy set theory; topology; β-continuity; β-convergence theory; β-irresoluteness; β-remote-neighborhood; L-fuzzy ideals; L-fuzzy nets; fuzzy analysis; fuzzy inference; fuzzy topology; Convergence; Electronic mail; Fuzzy sets; Fuzzy systems; Lattices; Topology;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2010 Seventh International Conference on
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-5931-5
DOI :
10.1109/FSKD.2010.5569635
