A Novel Method for Determining the Centroid of Type-3 Fuzzy Sets

  1. Jagannath Biswas
  2. Samarjit Kar
  3. Tripti Chakrabarti
Read the full article See related articles

Discuss this preprint

Start a discussion What are Sciety discussions?

Listed in

This article is not in any list yet, why not save it to one of your lists.
Log in to save this article

Abstract

Finding the centroid of a fuzzy set is one of the most crucial and significant computational tasks in fuzzy logic systems. Since Zadeh's time, centroids of type-1 and type-2 fuzzy sets have only been used in type-reduction. Although there are some applications for type-3 fuzzy control, there is currently no literature on the usage of centroid during type-reduction. The existing literature currently lacks a method for determining the centroid of the type-3 fuzzy set. In this study, we have attempted a relatively straightforward but rigorous way to find the centroid of a type-3 fuzzy set using weights in each direction of membership variables. This method may also be used to type-2 and type-1 fuzzy sets. Examples are provided that compare the computational results and show the computational efficiency of the proposed method.

Article activity feed

  1. Version published to 10.21203/rs.3.rs-8883447/v1 on Research Square