TY - EJOU
AU - Aliev, R. A.
TI - Introduction to U-Number Calculus
T2 - Intelligent Automation \& Soft Computing
PY - 2018
VL - 24
IS - 1
SN - 2326-005X
AB - Commonsense reasoning plays a pivotal role in the development of intelligent systems for decisionmaking, system analysis, control and other applications. As Prof. L. Zadeh mentions a kernel of the
theory of commonsense is the concept of usuality. Zadeh suggested main principles of the theory of
usuality, unfortunately up to present day; a fundamental and systemic approach to reasoning with
usual knowledge is not developed.

In this study, we develop a new approach to calculus of usual numbers (U-numbers). We consider a
U-number as a Z-number, where the second component is “usually”. Validity of the suggested approach
is verified by examples.
KW - Discrete fuzzy number; convolution; usuality; Z-number; U-number
DO - 10.1080/10798587.2017.1330311