Binary block-codes of $MV$-algebras and Fibonacci sequences
نویسندگان
1 Department of Mathematics, Faculty of Mathematics and Computer Science, Sirjan University of Technology, Sirjan, Iran.
2 Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
doi
10.22034/as.2022.2671چکیده
In this paper, the notion of an $M$-function and cut function on a set are introduced and investigated several properties. We use algebraic properties to introduce an algorithm which show that every finite $MV$-algebras and Fibonacci sequences determines a block-code and presented some connections between Fibonacci sequences, $MV$-algebras and binary block-codes. Furthermore, an $MV$-algebra arising from block-codes is established.