Comparative Study of Type-1
and Interval Type-2 Fuzzy Systems
in Parameter Adaptation of the Fuzzy
Flower Pollination Algorithm
Hector Carreon and Fevrier Valdez
Abstract Combining Interval Type-2 Fuzzy Logic Systems with metaheuristics has
shown in most investigations that better results are obtained than with Type-1 Fuzzy
Logic Systems. In this comparative study, experiments were carried out with Type-1
and Interval Type-2 Fuzzy Logic Systems, each one in combination with the Flower
Pollination Algorithm. In the modification of parameters, with this combination of
hybrid methods we carried out the comparative study. Previously, experiments were
carried out with the flower pollination algorithm and the Type-1 Fuzzy Logic System
(T1FLS), with the results of both methods, and we have concluded that better results
are obtained with the hybrid method of Interval Type-2 Fuzzy Logic System (IT2FLS)
and the Flower Pollination Algorithm (FPA).
Keywords Type-1 fuzzy logic · Type-2 fuzzy logic · Flower pollination
algorithm · Metaheuristic · Bioinspired algorithm
1 Introduction
Nature is a great source of inspiration to develop new optimization algorithms. Opti-
mizing systems in real life is complex and difficult and many applications face
these problems, optimization algorithms can be used to solve them, which does
not guarantee that an optimal solution can be obtained [1], nature has been able
through millions of years to solve these problems, many biological systems have
demonstrated very effectively in problem solving [2–4].
Many difficult problems in industry, commerce, medicine, etc., have been solved
with the help of bioinspired optimization algorithms [2, 4, 5].
Science has been developing nature-inspired optimization algorithms like the Bat
Algorithm (BA) [1] and the Flower Pollination Algorithm (FPA) [6], to name a few.
Since its origin, flower plants have been evolving and dominate the landscape [5,
H. Carreon · F. Valdez (B )
Tijuana Institute of Technology, Tijuana, BC, Mexico
e-mail: fevrier@tectijuana.mx
© The Editor(s) (if applicable) and The Author(s), under exclusive license
to Springer Nature Switzerland AG 2021
P. Melin et al. (eds.), Recent Advances of Hybrid Intelligent Systems Based
on Soft Computing, Studies in Computational Intelligence 915,
https://doi.org/10.1007/978-3-030-58728-4_8
145