A similarity-based fuzzy soft reasoning method

Abstract

The soft set theory proposed by Molodtsov is regarded as an effective mathematical tool for dealing with uncertainties. This paper discusses the approximate reasoning based on the similarity measure for fuzzy soft set. The approximate reasoning methods based on the similarity measure for fuzzy soft modus ponens (FSMP) are investigated. The corresponding computational formulas for these methods are presented. Furthermore, the reductive properties and the monotonic properties of these methods are analyzed.