Ranking fuzzy numbers using alpha cuts and centroids

Article type: Research Article

Authors: Rao, Peddi Phani Bushan^{; *}

Affiliations: GITAM Institute of Technology, GITAM University, Visakhapatnam, Andhra Pradesh, India

Correspondence: [*] Corresponding author. Peddi Phani Bushan Rao, Department of Mathematics, GITAM Institute of Technology, GITAM University, 530045 India. Tel.: +91 9347046396; E-mail: peddipb@gitam.edu.

Abstract: This paper presents a new method on ranking fuzzy numbers by identifying the degree to which one fuzzy number dominates the other through a total dominance function, developed by using a few number of α- cuts that fall within the centroid range of the referential triangular fuzzy number and involving optimistic perspective of the decision maker. This method is very useful in ranking large quantity fuzzy numbers and fuzzy numbers whose membership functions are not known in prior.

Keywords: Fuzzy numbers, centroids, alpha cut, index of optimism

DOI: 10.3233/JIFS-171119

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 4, pp. 2249-2258, 2017