Title :
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
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;
Conference_Titel :
Advances in Computing, Communications and Informatics (ICACCI, 2014 International Conference on
Conference_Location :
New Delhi
Print_ISBN :
978-1-4799-3078-4
DOI :
10.1109/ICACCI.2014.6968203
