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

机译：模糊数值函数的Henstock-Kurzweil可积性的柯西准则

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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.

机译：本文提出了柯西准则，为实线上紧区间上定义的模糊数值函数的Henstock可积性提供了充要条件。结果可用于表征模糊数值函数的可积性，而无需计算积分的值。此外，还介绍了在实线上的紧实区间上定义的模糊数值函数的概念，基本性质以及R和R *积分的关系。

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《International conference on advances in computing, communications and informatics》|2014年|1329-1333|共5页
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Herawan T.; Abdullah Z.; Chiroma H.; Sari E.N.; Ghazali R.; Nawi N.M.;
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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;

机译：模糊集理论;数论; Cauchy准则; Henstock可积性; Henstock-Kurzweil可积性;基本性质;模糊数值函数;充要条件;计算机科学;教育机构;信息学;锰;数学;测量;充分条件; Cauchy准则;模糊数值函数; Henstock Kurzweill积分;

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

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