Work

On fuzzy Henstock-Stieltjes integral on time scales with respect to bounded variation function

Year: 2024

Type: article

Abstract: In present paper we will investigate the basic theory of fuzzy Henstock-Stieltjes Δ-integral with respect to a bounded variation function on time scale. Firstly, we define the notion of fuzzy Henstock-Stieltjes Δ-integral (or briefly FHS-Δ-integral) on time scales, and propose some basic properties and several necessary and sufficient conditions for fuzzy Henstock-Stieltjes Δ-integrable functions. Secondly, we present a characterization theorem of fuzzy Henstock-Stieltjes Δ-integrable function by using the embedding theorem of fuzzy number space. Therefore, this paper complements and enriches the theory of fuzzy integral, and the results of this paper will contribute to establishing discontinuous fuzzy dynamic equations on time scales.

Source: PLoS ONE

DOI: 10.1371/journal.pone.0309031

Authors: Juan Li, Yubing Li, Yabin Shao

Institutions: Baoji University of Arts and Sciences, Chongqing University of Posts and Telecommunications

Language: English

Topic: Fuzzy Systems and Optimization

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,290

Funder: National Natural Science Foundation of China