A New Set of Unary and Binary Operators 
With A New Algebraic System  
For Multiple-Valued Logic Systems:
The Algebra Of Priority 
(AOP)

1. Abstract
2. Introduction
3. Priority Concept and Principle
4. Unary Operators and Operations
   • Image Operation
   • Conservative Operators
     • Up-Del Operator
     • Dn-Del Operator
     • Inverse-Operator and Operation
   • Orthogonal Operators
   • Sequential Image Operation
   • Star Operation
   • Costar Operation
5. Binary Operators (prioritors)
   • Prioritors 
   • Binary System
   • Ternary System
   • Quaternary System
6. Binary Operations
   • Infimum-Operation
   • Supremum Operation
   • Star Operation
   • Costar Operation
7. TAS systems of AOP

   • Definitions, Notations and Terminology

   • TAS System and TAS Bases

   • Intrinsic and Extrinsic TAS systems

   • STAR TAS Systems (STAS)

   • Mate Operation and Operator

   • Comate Operation and Operator

   • TAS Transpose

   • Local and Global TAS Systems

   • TAS Code System  

8. Theorems of AOP
   • ITAS Global Theorems
   • ITAS Local Theorems
   • STAS Global Theorems
   • OTAS Theorems
9. Advanced Theorems of AOP
   • Orthogonal Theorems
   • Expansion Theorems
   • Image-Scaling Theorem
   • Uniform Degeneracy 
10. Design Example
11. Deriving Other Algebras from AOP
12. AOP versus Boolean and Post algebras
13. Conclusion
14. Tables
    • Conservative Operators
    • Orthogonal Operators
    • Prioritors
    • Prioritors Degeneracy Table
    • Examples
15. Figures
16. Proofs of theorems
17. Computer
18. Bibliography