Codewords generated by UP-valued functions

Abstract

The concept of a UP-valued function on a nonempty set was introduced by Ansari et al. [3]. Codewords in a binary block-code generated by a UP-valued function are established and some interesting results are obtained. Finally, we prove that every finite UP-algebra A which has the order less than or equal to the order of a finite set X determines a binary block-code V such that (A,≤) is isomorphic to (V,⪯).

Keywords

• up-algebra
• up-valued function
• cut function
• codeword
• binary block-code