M-FUZZIFYING INTERVAL SPACES

نویسندگان
Xiu, Zhen-Yu ID 1
Shi, Fu-Gui ID 2

1 College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610000, P.R. China

2 chool of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, P.R. China

doi
10.22111/ijfs.2017.3050
چکیده

In this paper,  we introduce  the notion of $M$-fuzzifying interval spaces, and discuss the relationship between $M$-fuzzifying interval spaces and $M$-fuzzifying convex structures.It is proved that  the category  {\bf MYCSA2}  can be embedded in  the category  {\bf  MYIS}  as a reflective subcategory, where  {\bf MYCSA2} and   {\bf  MYIS} denote  the category of $M$-fuzzifying convex structures of  $M$-fuzzifying  arity $\leq 2$  and  the category of $M$-fuzzifying interval spaces, respectively. Under the framework of $M$-fuzzifying interval spaces,   subspaces and product spaces   are presented  and  some of their fundamental  properties are obtained.

کلیدواژه‌ها
$M$-fuzzifying interval spaces, $M$-fuzzifying convex structures, $M$-fuzzifying interval preserving functions, Subspaces, Product spaces