Title :
For closeable and cutworthy properties, closures always commute with cuts
Author :
Kitainik, Leonid
Author_Institution :
Comput. Center, Acad. of Sci., Moscow, USSR
Abstract :
The analysis presented contains generalization and algebraic characterization of closeability and cutworthiness of properties of crisp and fuzzy objects. A positive solution of the Bandler-Kohout problem is obtained. For closeable and cutworthy properties of fuzzy subsets of a finite set, closures always commute with α-cuts
Keywords :
algebra; fuzzy set theory; α-cuts; Bandler-Kohout problem; algebraic characterization; closeability; crisp objects; cutworthiness; finite set; fuzzy objects; fuzzy set theory; fuzzy subsets; Fuzzy sets; Lattices;
Conference_Titel :
Fuzzy Systems, 1992., IEEE International Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-0236-2
DOI :
10.1109/FUZZY.1992.258743
