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- Title
Basis of Grey Qualitative Algebra.
- Authors
Yuanliang Huang
- Abstract
Whether the observational values of system variables are qualitative or quantitative depends on different observational levels. A qualitative value based on some level can be quantitative on other levels, vice versa. In fact, to analyse practical problem is based on some level of the level space. Grey qualitative algebra is a qualitative algebra frame whose quantitative field is the field of real numbers and whose research object is frequency grey number. In grey qualitative algebra, the discrete degree of frequency grey number is advanced and "belonging to" of traditional set theory is extended such that it can be sure that the closing operations are based on grey quantity space. After finishing the definition of grey qualitative algebra, the function of frequency grey number is defined and the qualitative homomorphism based on qualitative generating radical is introduced. The study of grey qualitative algebra extends further grey qualitative simulation theory.
- Subjects
MATHEMATICAL variables; PROBLEM solving; ALGEBRA; HOMOMORPHISMS; MATHEMATICS
- Publication
Journal of Grey System, 2006, Vol 18, Issue 1, p5
- ISSN
0957-3720
- Publication type
Article