Abstract.In this paper, the concepts of bounded variation and absolute continuity for the fuzzy-number-valued functions are presented and discussed in another sense of the absolute value for fuzzy numbers. The relations among bounded variation, absolute continuity, fuzzy McShane integral and fuzzy Henstock integral are defined and characterized.

Received: December 8, 2006

AMS Subject Classification: 94D05, 46S40, 47S40, 54A40

Key Words and Phrases: fuzzy integral, bounded variation, absolute continuity

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 35
Issue: 4