In this paper, we apply the concept of linear Diophantine fuzzy sets in BCK/BCI-algebras. respect, notions subalgebras and (commutative) ideals are introduced some vital properties discussed. Additionally, characterizations considered. Moreover, associated results for subalgebras, commutative obtained.

in this study, a robust controller is designed for fuzzy network control systems (ncss) using the static output feedback. delay and data packet dropout affect on the stability of network control systems, and therefore, the asymptotic stability condition is established considering delay and data packet dropout. delay is time-varying while the lower and upper bounds for delay is defined, and the ...

Let $a_1,\ldots,a_n$ and $b_1,\ldots,b_m$ be fixed positive integers, let ${\mathcal S}$ denote the set of all nonnegative integer solutions equation $x_1a_1+\cdots +x_na_n=y_1b_1+\cdots...

Introduction.Safety of human activity is required for almost every enterpriseinstitution, organization, bank, etc. Therefore, it extremely important to have a possibility transform the information in such way that becomes inaccessible malicious user. Purpose. The purpose this article describe protocol, based on linear function and operators properties, allows transmit data fast secure between t...

We demonstrate that for any well-defined cryptographic protocol, the symbolic trace reachability problem in the presence of an Abelian group operator (e.g., multiplication) can be reduced to solvability of a particular system of quadratic Diophantine equations. This result enables formal analysis of protocols that employ primitives such as Diffie-Hellman exponentiation, products, and xor, with ...