Combinatorial properties of diminishing cells infinite array and its fuzzy language.

Autor: Nasir, V. Kamal, Jansirani, N., Vasugi, T.
Předmět:
Zdroj: AIP Conference Proceedings; 2023, Vol. 2829 Issue 1, p1-6, 6p
Abstrakt: The diminishing cells is coded in such a way that the cardinality of words on the set of binary letters defined over each cell is increased with layers of an infinite array and that are identified with consecutive zeroes and consecutive ones irrespective of its area or common ratio r = 1 n , but with respect to its position. Thus, it is possible to deduce the position of any arbitrary cell from the words and vice versa. The cells Xij,i, j ∈ ℕ are prefixed with an one or consecutive ones whereas Xji are with a zero or consecutive zeroes. With the cardinality of the words, the number of resolutions of the cells are determined without reference to its geometric ratio. The addressing follows the reversal pattern for the cells Xij and Xji,i ≠ j whereas it preserves the self reversal pattern for the cells Xii, i ∈ ℕ. The notion of fuzzy language is initiated for the case of diminishing cells infinite array in terms of diminishing fuzzy sets. The glimpse of the deduction of fuzzy language for diminishing cells infinite array in terms of diminishing fuzzy sets by assigning a word by its diminishing fuzzy membership grade with respect to the cell position is acquired. Furthermore, the complexion of reversal cells and palindromic cells with reference to diminishing fuzzy membership grade is studied. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index