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.

Book Details:

ISBN-13:

978-3-659-84103-3

ISBN-10:

365984103X

EAN:

9783659841033

Book language:

English

By (author) :

Husein Hadi Abbass
Hayder Abbas Dahham

Number of pages:

180

Published on:

2016-08-02

Category:

Arithmetic, Algebra