4.8 Article

A Comprehensive Study of the Efficiency of Type-Reduction Algorithms

Journal

IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 29, Issue 6, Pages 1556-1566

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2020.2981002

Keywords

Switches; Complexity theory; Fuzzy sets; Iterative methods; Computer science; Fuzzy logic; Sorting; Centroid; center-of-sets type reducer without sorting requirement (COSTRWSR); direct approach (DA); enhanced karnik-mendel (EKM) algorithm; enhanced iterative algorithm with stop condition (EIASC); interval type-2 (IT2) fuzzy set; karnik-mendel (KM) algorithm; nonderivative-based direct approach (DAND); simplified COSTRWSR (SC); type-reduction

Funding

  1. University of Nottingham
  2. National Natural Science Foundation of China [61873321]
  3. 111 Project on Computational Intelligence and Intelligent Control [B18024]

Ask authors/readers for more resources

Researchers have proposed two new type-reduction algorithms and conducted a comprehensive study on both existing and new approaches, finding that the computational efficiency of an algorithm is closely related to the platform and implementation method. Suggestions for preferred algorithms are provided based on different scenarios of implementation platform and application context.
Improving the efficiency of type-reduction algorithms continues to attract research interest. Recently, there has been some new type-reduction approaches claiming that they are more efficient than the well-known algorithms such as the enhanced Karnik-Mendel (EKM) and the enhanced iterative algorithm with stopping condition (EIASC). In a previous paper, we found that the computational efficiency of an algorithm is closely related to the platform, and how it is implemented. In computer science, the dependence on languages is usually avoided by focusing on the complexity of algorithms (using big O notation). In this article, the main contribution is the proposal of two novel type-reduction algorithms. Also, for the first time, a comprehensive study on both existing and new type-reduction approaches is made based on both algorithm complexity and practical computational time under a variety of programming languages. Based on the results, suggestions are given for the preferred algorithms in different scenarios depending on implementation platform and application context.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.8
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available