ÜÇGEN SEZGİSEL BULANIK SAYILAR İÇİN GERGONNE NOKTASINA DAYALI YENİ BİR SIRALAMA YÖNTEMİ

Year 2019, Volume: 1 Issue: 1, 59 - 73, 30.06.2019

Gültekin Atalık , Sevil Şentürk

Abstract

Bulanık küme teorisi, araştırmacıların ölçüm hatası, belirsizlik ve insan düşüncelerinden kaynaklanan belirsizlikleri tespit etmelerini sağlar. Bulanık küme teorisi birçok araştırmacı tarafından pek çok farklı türe genişletilmiştir. Sezgisel bulanık kümeler, bu türlerden biridir. Sezgisel bulanık kümelerde iki fonksiyon vardır. Bunlar üyelik fonksiyonu ve üye olmama fonksiyonlarıdır. Sezgisel bulanık sayıların sıralanması birçok gerçek yaşam probleminin modellenmesinde temel bir rol oynamaktadır. Literatürde, sezgisel bulanık sayıları sıralamak için çeşitli yöntemler pek çok araştırmacı tarafından önerilmiştir. Üçgenin iç teğet çemberinin kenarlara değme noktalarını karşı köşe noktalarıyla birleştiren doğru parçalarının kesişim noktası, Gergonne noktasıdır. Bu çalışmada, üçgen sezgisel bulanık sayıyı sıralamak için Gergonne noktasına dayanan yeni bir yöntem önerilmiştir. Önerilen yöntemi diğer yöntemlerle karşılaştırmak için farklı üçgen sezgisel bulanık sayılar kullanılarak bir çalışma yapılmıştır. Elde edilen sonuçlar yorumlanmıştır.

Keywords

Sezgisel bulanık kümeler, Gergonne noktası, bulanık sayıyı sıralamak, üçgen sezgisel bulanık sayılar

A NEW RANKING METHOD FOR TRIANGULAR INTUITIONISTIC FUZZY NUMBER BASED ON GERGONNE POINT

Abstract

Fuzzy sets theory allows researchers to identify the uncertainties that arise from measurement error, vagueness and human thoughts. Fuzzy sets theory has been extended into various
different types by many researchers. Intuitionistic fuzzy sets are one of these types. There are two functions in intuitionistic fuzzy sets. These are membership function and non - membership
function. The ranking of intuitionistic fuzzy numbers plays the main role in modeling many real life problems. Several methods for ranking intuitionistic fuzzy numbers have been well
discussed in the literature. In a triangle, the lines from the vertices to the points of contact of the opposite sides of the inscribed circle meet at a point. That point is the Gergonne point. In this paper, a new method based on the Gergonne point is proposed to rank triangular intuitionistic fuzzy numbers. An illustrative example and comparison study is performed with the existing methods by using different triangular intuitionistic fuzzy numbers. The results are interpreted as a conclusion. 

Keywords

Intuitionistic fuzzy sets, Gergonne point, ranking fuzzy number, triangular intuitionistic fuzzy numbers

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