Instruction for Preparing Fuzzy System Symposium Manuscript

Abstract

In this study, we propose a similarity calculation method using λ fuzzy measure instead of cosine similarity as a method to calculate similarity between documents. Generally, cosine similarity is used to examine the similarity between documents, but it only considers the orientation of document vectors and does not take into account the length of the documents or the magnitude of the vectors. Fuzzy measures are non-additive and allow for the flexible assignment of weights to each word, including considering synergy effects in word co-occurrence. In this study, we use the λ-fuzzy measure, a specific type of fuzzy measure. The λ-fuzzy measure calculates similarity by determining the area of the common part of the two document vectors being compared. The calculation of this area employs the Choquet integral, one of the fuzzy integrals.