Ranking Generalized Institutionistic Pentagonal Fuzzy Number by Centroidal Approach


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Authors

  • G. Uthra P.G. & Research Department of Mathematics, Pachaiyappa’s College for Men, Chennai, Tamilnadu, India
  • K. Thangavelu Department of Mathematics, C. Kandaswami Naidu College for Men, Chennai, Tamilnadu, India
  • S. Shunmugapriya P.G. & Research Department of Mathematics, Pachaiyappa’s College for Men, Chennai, Tamilnadu, India

Keywords:

Generalized Pentagonal fuzzy number, Institutionistic fuzzy number, centroid

Abstract

In this paper we define a Generalized Institutionistic Pentagonal fuzzy number and propose a new ranking formula which includes the area of both membership and non membership parts of the fuzzy number. The membership and the non membership area of the fuzzy number is splitted into three 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 GIPFN by this approach yields better solution when compared with ranking by Accuracy function. This approach is illustrated with numerical examples.

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Published

15-11-2017

How to Cite

G. Uthra, K. Thangavelu, & S. Shunmugapriya. (2017). Ranking Generalized Institutionistic Pentagonal Fuzzy Number by Centroidal Approach. International Journal of Mathematics And Its Applications, 5(4 - C), 389–393. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1285

Issue

Vol. 5 No. 4 - C (2017)

Section

Research Article

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