Comparison of two kinds of fuzzy arithmetic, LR and OFN, applied to fuzzy observation of the cofferdam water level

Abstract

This paper presents certain important aspect soft he fuzzy logic extension, one of whichis OFN. It includes basic definition soft hat discipline. It also compares fuzzy logic arithmetic with the arithmetic of ordered fuzzy numbers in L-R notation. Computational experiments were based on fuzzy observation of the impounding basin. The results of the study show that there is a connection between the order of OFN number and trend of changes in the environment. The experiment was carried out using computer soft ware developed specially for that purpose.When comparing the arithmetic of fuzzy numbers in L-R notation with the arithmetic of ordered fuzzy number son the ground soft he experiment, it has been concluded that with fuzzy numbers it ispossible to expand the scope of solutions in comparison to fuzzy numbers inclassic form. The symbol of OFNflexibility is the possibility to determine the number that always satisfies the equation $A+X=C$, regardles soft hevalue of arguments. Operations performed on OFN are less complicated, as the yare performed in the same way regard less the sign of the input data and the irresultsare more accuratein the majority of cases. The promising feature of ordered fuzzy numbers is their lack of rapidly growing fuzziness. Authors expect to see implication of that fact in practice in the near future.