Abstract:In this paper, we study a fuzzy implicative ideal of a BH-algebra. We give some properties of this fuzzy ideal and link it with other types of fuzzy ideals and fuzzy subset of a BH-algebra.

In this paper, we study the notion of fuzzy sub-implicative ideal of a BH-algebra and we state and prove some theorems and propositions which determine the relationships among the sub-implicative ideal with the other subset in fuzzy senses of BH-algebra and also we give some properties of this ideal and relate it with other types of concepts of a BH-algebra.

This work involved some studying ,we study and prove some theorems and a propositions which determine the relationships among the notion of fuzzy p-ideal with the intersection, union, image of function, inverse function and with some other fuzzy subsets of BHalgebra, also we gave some properties of this ideal of a BH-algebra.

No abstract

. Suppose that  is the Cayley graph whose vertices are all elements of  and two vertices  and  are adjacent if and only if . In this paper,we introduce the generalized Cayley graph denoted by  which is a graph with a vertex set consisting of all column matrices  in which all components are in  and two vertices  and  are adjacent if and only if , where  is a column matrix that each entry is the inverse of the similar entry of  and  is  matrix with all entries in  ,  is the transpose of  and  and m . We aim to provide some basic properties of the new graph and determine the structure of  when  is a complete graph  for every , and n, m  .