Application of Fuzzy Pentagonal Number Matrix with Robust Ranking Defuzzification Method in Disease Diagnosis
Yosua Fernando Sitinjak (a), Mashadi (a*)

(a) Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Riau, Pekanbaru, Riau, 28293, Indonesia
*mashadi[at]lecturer.unri.ac.id

Abstract

Among the various arithmetic alternatives for pentagonal fuzzy numbers offered by different authors, there is not much difference in the arithmetic for addition, subtraction, and scalar multiplication. However, for multiplication and division, there are many arithmetic alternatives offered by various authors. However, the arithmetic offered for any pentagonal fuzzy number does not necessarily have an inverse. Therefore, this paper will present an arithmetic for pentagonal fuzzy numbers that yields an inverse. On the other hand, the application of pentagonal fuzzy numbers is used separately between the application of fuzzy soft matrix numbers and the application of pentagonal fuzzy number matrices. In this paper, the application of fuzzy soft matrix and pentagonal fuzzy number matrices will be applied directly and simultaneously. By applying this concept, two pentagonal fuzzy number matrices were formed. The relationship between matrices is calculated, and the robust ranking values are used to predict the disease diagnosis.

Keywords: Arithmetic, Disease diagnosis, Fuzzy soft matrix, Pentagonal fuzzy number, Robust ranking

Topic: Mathematics and Applications