The role a fuzzy implication plays in a multi-criteria decision algorithm

Abstract

We introduce a similarity measure between fuzzy sets using a fuzzy implication. We investigate for the eight most important potential properties of fuzzy implications, which ones should be taken into consideration to measure the similarity, and thereafter choose a suitable fuzzy implication which satisfies these potential properties. Simple examples are given to illustrate the application of the chosen fuzzy implication in a partition algorithm used for multi-criteria decision making.

Keywords:

• fuzzy set
• fuzzy implication
• fuzzy inclusion
• similarity measure
• fuzzy relation
• multi-criteria decision making