Cauchy criterion for the Henstock-Kurzweil integrability of fuzzy number-valued functions

Author

Herawan, Tutut ; Abdullah, Zailani ; Chiroma, Haruna ; Sari, Eka Novita ; Ghazali, Rozaimi ; Nawi, Nurulain Md

Author_Institution

Dept. of Inf. Syst., Univ. of Malaya, Kuala Lumpur, Malaysia

fYear

2014

fDate

24-27 Sept. 2014

Firstpage

1329

Lastpage

1333

Abstract

In this paper, Cauchy criterion, the necessary and sufficient conditions for Henstock integrability of fuzzy number-valued functions defined on a compact interval in the real line is presented. The results can be used to characterize the integrability of a fuzzy number valued function without calculation the value of the integral. In addition, the notion, the elementary properties and the relation of R and R* integrals of fuzzy number-valued function defined on a compact interval in the real line are also presented.

Keywords

fuzzy set theory; number theory; Cauchy criterion; Henstock integrability; Henstock-Kurzweil integrability; elementary property; fuzzy number-valued functions; necessary and sufficient condition; Computer science; Educational institutions; Informatics; Manganese; Mathematics; Measurement; Sufficient conditions; Cauchy criterion; Fuzzy number valued functions; Henstock Kurzweill integral;

fLanguage

English

Publisher

ieee

Conference_Titel

Advances in Computing, Communications and Informatics (ICACCI, 2014 International Conference on

Conference_Location

New Delhi

Print_ISBN

978-1-4799-3078-4

Type

conf

DOI

10.1109/ICACCI.2014.6968203

Filename

6968203