Title: Random fuzzy numbers generation with cubic Hermit membership function and its application in simulation

Authors: Behrouz Fathi-Vajargah; Sara Ghasemalipour

Addresses: Department of Statistics, Faculty of Mathematical Sciences, University of Guilan, Iran ' Department of Statistics, Faculty of Mathematical Sciences, University of Guilan, Iran

Abstract: Fuzzy numbers play a very important role in linguistic decision making and some other fuzzy application systems. Several strategies have been proposed for generating fuzzy numbers. In this paper, we introduce a new approach for generating fuzzy numbers based on cubic Hermit curves. Fuzzy numbers with polynomial membership function are not often in (0, 1) and we use from cubic Hermit curves for generating fuzzy numbers. Fuzzy numbers with cubic Hermit membership function are always within the (0, 1). Finally, we apply these numbers in simulation.

Keywords: random fuzzy numbers; cubic Hermit curves; membership function; simulation; fuzzy number generation.

DOI: 10.1504/IJCSM.2016.078713

International Journal of Computing Science and Mathematics, 2016 Vol.7 No.4, pp.301 - 311

Accepted: 04 Dec 2015
Published online: 01 Sep 2016 *

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