Ranking fuzzy numbers based on ideal solution

Zhong-xin Wang

Ya-ni Mo

pp. 201-209

in: Bing-yuan Cao, Cheng-yi Zhang, Tai-fu Li (eds), Fuzzy information and Engineering I, Berlin, Springer, 2009

Abstract

In this paper,we consider the factor of the decision maker's risk preference, and define the left and right deviation degree,respectively.Besides we propose the new formula of the fuzzy degree.Then we get the multiattribute matrix of fuzzy numbers. Making use of ideal solution we rank fuzzy numbers.Some numerical examples are displayed to illustrate the validity and advantage of the proposed ranking method.