PAVELKA in ref. [1] established a propositional logic system whose truth values domain is an enriched residuated lattice and obtained some beautiful results. In order to study more general lattice valued logic systems...
Project supported by the National Natural Science Foundation;Doctoral Programme Foundation of Institutions of Higher Education
Correlation-immunity is an important concept in cryptology. In ref. [1] Siegenthaler introduced the mathematical definition of correlation-immunity and used the correlation-immunity order of logic functions as a measu...
'Project supported by the University SC & Tech. Foundation of China.
The pseudorandom sequences used widely in spread spectrum communications and cryptography are required to have not only large linear complexity, but also good auto(cross-)correlation properties. Now it is known that t...
In[1—3], Wang et al. assume always that the lattice of truth values possesses a weak or strong characteristic formula. It is not difficult to know that one of the essential reasons for which such a strong condition m...
Recently, the following two problems have been posed in [1]:(ⅰ) When is ω_L (J) an algebraic lattice?(ⅱ) When is ω_L (J) a completely distributive lattice? where ω_L (J)denotes the family of all continuous functi...
Scott formulated his version of Boolean-valued models in 1967, He proved that the V(B) is a Boolean-valued model of ZFC, i. e. every axiom of ZFC has Boolean value 1, and assumed the GCH. Then, if B satis...
We presented the concept of Operator Fuzzy Logic System and λ-Resolution Method in 1984, and obtained some theoretical results. In practice, in many cases knowledge and rules can be expressed by λ-Horn set of clause...
For the generalized fractional programming (P) where S is a nonempty subset of Rn, fi and gi are real-valued functions on S, and gi are positive on S, we propose the follo...