Work

Comparison Between Fuzzy Number Sequences via Interactive Arithmetic J0 and Standard Arithmetic

Year: 2024

Type: article

Abstract: The focus of this work is to study sequences of interactive fuzzy numbers. The interactivity relation is associated with the concept of joint possibility distribution. In this case, the type of interactivity studied is linked to a family of joint possibility distributions (Jγ), in which the parameter γ intrinsically models levels of interactivity between the fuzzy numbers involved. Each element of the sequence of interactive fuzzy numbers is obtained through a discrete equation, and the arithmetic operations present in the equation are extended to this type of fuzzy number. Some simulations are performed to illustrate the behavior of the sequences, called interactive, and to compare them with the sequences obtained by other fuzzy arithmetic operations.

Source: Fuzzy Sets and Systems

DOI: 10.71602/tfss.2025.1189025

Authors: Francisco Wasques, Vinı`cius, de Jesus Biscaia Pinto, Nilmara

Institutions: Brazilian Center for Research in Energy and Materials, Universidade Estadual de Campinas (UNICAMP)

Language: English

Topic: Fuzzy Systems and Optimization

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,680

OpenAlex ID: W6902435267

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