A Completely Closed Ideal of a BG- algebra

In this book we introduce the concepts of a completely closed ideal of a BH-algebra, a completely closed ideal with respect to an element of a BH-algebra, a completely closed filter, a completely closed filter of a BH-algebra and a closed filter with respect to an element of a BH-algebra. We prove many relations and theorems among these notions and some other types of ideals and filters of a BH-algebra. On the other hand, in fuzzy sense, we define the concepts of a fuzzy completely closed ideal, a fuzzy completely closed filter, a fuzzy completely closed ideal with respect to an element of a BH-algebra and a fuzzy closed filter with respect to an element of a BH-algebra. Also we study all these new notions in ordinary and fuzzy senses when BH-algebra is a BG-algebra.

About the author

Prof. Husein Hadi Abbass is the Dean Assistant post for Scientific Affairs in the Faculty of Computer Science and Mathematics university of Kufa - Iraq. He has 50 researches published in local and international magazines in the fields of algebra, applied mathematics, image processing, genetic algorithms, and fuzzy mathematics.

Product details

• Authors: Hayder Abbas Dahham, Husei Hadi Abbass, Husein Hadi Abbass
• Publisher: Scholar's Press
• Languages: English, German
• Product format: Paperback / Softback
• Released: 26.08.2016
• EAN: 9783659841033
• ISBN: 978-3-659-84103-3
• No. of pages: 180
• Dimensions: 150 mm x 220 mm x 10 mm
• Weight: 255 g
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra