Inverse Arithmetic Operators for Fuzzy Intervals

Fuzzy arithmetic is a powerful tool in many engineering problems such as decision making, control theory, fuzzy systems and approximate reasoning. However, it is well known that the practical use of standard fuzzy arithmetic operators gives results more imprecise than necessary or in some cases, even incorrect. This problem is due to the overestimation effect induced by computing fuzzy arithmetic operations. In this paper a modified implementation for fuzzy unimodal interval arithemtics is defined where new subtraction and division operators are proposed. These new operators are exactly the inverse of the addition and multiplication operators. The effectiveness of the proposed methodology is illustrated by simulation examples.

• Type: Conference
• Year: 2007
• Where: EUSFLAT
• Authors: Reda Boukezzoula, Sylvie Galichet, Laurent Foulloy
• Keywords: EUSFLAT 2007, Fuzzy Arithmetic, Fuzzy Arithmetic Operations, Fuzzy Arithmetic Operators