Comparing trapezoidal fuzzy numbers by using a hybrid technique on the base of the ideal points and the centroid point

Article type: Research Article

Authors: Sotoudeh-Anvari, Alireza^*

Affiliations: Department of System and Industrial Engineering, Industrial Management Institute, Tehran, Iran

Correspondence: [*] Corresponding author. Alireza Sotoudeh-Anvari, Department of System and Industrial Engineering, Industrial Management Institute, Tehran, Iran. Tel.: +98 9123314524; E-mail: ar.sotudeh@yahoo.com.

Abstract: Comparing fuzzy numbers is a key task in decision making. Although, up to now several techniques have been introduced for ordering fuzzy numbers, nearly all of these methods contain various defects. In this paper, we introduce a new approach for ranking generalized trapezoidal fuzzy numbers. The suggested technique combines the trait of two ideas namely positive and negative ideal points as well as the centroid point. This method is logically easy and has very straightforward computation. The benefits of the proposed method are discussed through a number of comparative numerical cases.

Keywords: Comparing, trapezoidal fuzzy numbers, centroid point, area

DOI: 10.3233/IFS-152036

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 6, pp. 3099-3109, 2016