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http://dx.doi.org/10.5831/HMJ.2010.32.4.711

INTERVAL-VALUED SMOOTH TOPOLOGICAL SPACES  

Choi, Jeong-Yeol (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
Kim, So-Ra (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
Hur, Kul (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
Publication Information
Honam Mathematical Journal / v.32, no.4, 2010 , pp. 711-738 More about this Journal
Abstract
We list two kinds of gradation of openness and we study in the sense of the followings: (i) We give the definition of IVGO of fuzzy sets and obtain some basic results. (ii) We give the definition of interval-valued gradation of clopeness and obtain some properties. (iii) We give the definition of a subspace of an interval-valued smooth topological space and obtain some properties. (iv) We investigate some properties of gradation preserving (in short, IVGP) mappings.
Keywords
t-norm; interval-valued gradation of openness (resp. closedness and clopenness); interval-valued preserving mapping;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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