Limits: Journal of Mathematics and Its Applications
Vol 18, No 1 (2021)

Himpunan Fuzzy dan Rough Sets

Bijan Davvaz (Department of Mathematics, Yazd University, Yazd, Iran)
Imam Mukhlash (Departemen Matematika, Institut Teknologi Sepuluh Nopember, Kampus ITS, Sukolilo-Surabaya Indonesia)
Soleha Soleha (Departemen Matematika, Institut Teknologi Sepuluh Nopember, Kampus ITS, Sukolilo-Surabaya Indonesia)



Article Info

Publish Date
10 May 2021

Abstract

The concept of a fuzzy set was introduced by Zadeh in 1965. Fuzzy set is a mathematical model of vague qualitative or quantitative data, frequently generated by means of the natural language. The model is based on the generalization of the classical concepts of set and its characteristic function. Intuitionistic fuzzy sets are sets whose elements have degrees of membership and non-membership. Intuitionistic fuzzy sets have been introduced by Atanassov in 1983 as an extension fuzzy sets. On the other hand, the concept of rough set was proposed by Pawlak 1982. Since then the subject has been investigated in many papers. The overall aim of this paper is to present an introduction to some of main concepts related to fuzzy sets, intuitionistic fuzzy sets and rough sets. We investigate Crisp sets and characteristic functions, fuzzy sets, intuitionistic fuzzy sets, rough sets and probabilistic rough setsĀ 

Copyrights © 2021






Journal Info

Abbrev

limits

Publisher

Subject

Mathematics

Description

Limits: Journal of Mathematics and Its Applications merupakan jurnal yang diterbitkan oleh Lembaga Penelitian dan Pengabdian Kepada Masyarakat (LPPM) Institut Teknologi Sepuluh Nopember, Surabaya, Indonesia. Limits menerima makalah hasil riset di semua bidang Matematika, terutama bidang Analisis, ...