A Method to Find the Membership Functions of Maximum and Minimum of Fuzzy Numbers
Keywords:Continuous fuzzy number, piece-wise continuous fuzzy number, Maximum (MAX) and Minimum (MIN) of fuzzy number, core, ?-cut, bounded increasing and bounded decreasing functions, membership function
In this paper, a new approach for computation of membership functions of the maximum and minimum of more than two upper semi-continuous fuzzy numbers has been introduced. This method is also applicable for piece-wise continuous fuzzy numbers or the fuzzy numbers which are only continuous from right or only continuous from left. The core of fuzzy numbers should have a singleton set.
Keywords: Continuous fuzzy number; piece-wise continuous fuzzy number; Maximum (MAX) and Minimum (MIN) of fuzzy number; core; α-cut; bounded increasing and bounded decreasing functions; membership function.
GANIT J. Bangladesh Math. Soc. (ISSN 1606-3694) 30 (2010) 89-99
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