Properties of Fuzzy Semi-Open Sets with Regards to Fuzzy Ideals

Hassan A. Al-Hadi Ahmed

University of Diyala, College of Science, Department of Mathematics, Diyala, Iraq

Emails: Hassanabdelhadi@uodiyala.edu.iq

Abstract

This paper introduces a broadened concept of fuzzy semi-open sets by framing them in the context of fuzzy ideals. Where many of their elementary properties will be presented in terms of theorems and lemmas. Also, many related examples about the validity of semi-open sets and their relationships with fuzzy ideals will be provided and discussed.

Keywords: Fuzzy Semi-open sets; fuzzy Semi-closed sets; fuzzy Generalized closed sets; fuzzy Ideals