Ranking generalized fuzzy number with geometric coordinate points approach

Article type: Research Article

Authors: Gong, Yanbing^{; *} | Xiang, Lin

Affiliations: School of Business Administration, Hohai University, Changzhou, China

Correspondence: [*] Corresponding author. Yanbing Gong, School of Enterprise, Management, Hohai University, Changzhou, Jiangsu 213022, P.R. China. Tel.: +86 51981230713; Fax: +86 5198519; E-mail: [email protected].

Abstract: The incentre and circumcentre are two important concepts in geometric quality of triangle. Rouhparvar [Appl. Soft Comput. 30(2015) 577-584] presented the incentre point computational formula for defuzzification of generalized fuzzy numbers. On this basis, we will further consider the circumcenter point computational formula of generalized fuzzy numbers. This paper presents a new method for ranking fuzzy numbers with convex combination coordinate points of incentre and circumcentre that is an extension of Rouhparvar’s method. This extension method can effectively rank various fuzzy numbers and their images. Some numerical examples are illustrated to show the utility of proposed method.

Keywords: Ranking fuzzy numbers, incentre point, circumcenter point, convex combination

DOI: 10.3233/JIFS-171766

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 937-944, 2018