The Reference Ideal Method and the Pythagorean Fuzzy Numbers

Document Type: Original Article

Authors

1 Depto de Ingeniería Informática, Universidad de Holguín "Oscar Lucero Moya", Holguín, Cuba

2 University of Granada

3 Computer Science and Artificial Intelligence, University of Granada, Spain

Abstract

As it is well known, in spite of having small dimensions, there are daily many
situations that require the solution of a decision-making problem: eating, streets
crossing, assessments, shopping and so on. Generally, the way of working on
these types of problems depends on how the information used to evaluate each
alternative is provided and represented, as for instance is the case with: crisp
values, fuzzy values, Pythagorean values, etc. In this way, different very wellknown
methods have been developed and modified to help to solve this kind of
problems. Among them, the following may be remarked: AHP, PROMETHEE,
ELECTRE, VIKOR, TOPSIS. But there are many other. This paper shows how
to apply the so-called Reference Ideal Method (RIM), previously developed by
the authors, when Pythagorean Fuzzy numbers are used to evaluate each
alternative. The paper shows how to solve a decision-making problem through
the proposed method using such kind of fuzzy numbers and, in order to show
how to practically apply the RIM method, an illustrative example is provided.

Keywords