Ranking Generalized Intuitionistic Fuzzy
Numbers

G.Uthra; K.Thangavelu; S.Shunmugapriya

doi:https://doi.org/10.14445/22315373/IJMTT-V56P569

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 7 | Year 2018 | Article Id. IJMTT-V56P569 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P569

Ranking Generalized Intuitionistic Fuzzy Numbers

G.Uthra, K.Thangavelu, S.Shunmugapriya

Citation :

G.Uthra, K.Thangavelu, S.Shunmugapriya, "Ranking Generalized Intuitionistic Fuzzy Numbers," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 7, pp. 530-538, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P569

Abstract

In this paper, Generalized Intuitionistic Pentagonal, hexagonal and Octagonal fuzzy numbers have been defined and a new ranking formula which includes the area of both membership and non membership parts of the fuzzy number have been proposed. The membership and the non membership area of the fuzzy numbers are splitted into plane figures and centroid of the centroids of these plane figures are calculated. The ranking formula is calculated by finding the area of this centroid from the origin. The advantage of this paper is that the ranking GIFN by this approach yields better solution when compared with other ranking methods. This approach is illustrated with numerical examples.

Keywords

Generalized fuzzy number, Intuitionistic fuzzy number, centroid.

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