کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
395015 | 665924 | 2008 | 17 صفحه PDF | دانلود رایگان |

In this paper, we first introduce the notions of (positive implicative, implicative and commutative) interval-valued fuzzy ideals of BCI-algebras, which are generalizations of (positive implicative, implicative and commutative) fuzzy ideals, respectively, and investigate some of their related properties. The concept of quasi-coincidence of an interval-valued fuzzy point within an interval-valued fuzzy set is introduced. In fact, the concept is a generalized concept of quasi-coincidence of a fuzzy point within a fuzzy set. By using this new idea, we further introduce the notions of (positive implicative, implicative and commutative) (∈,∈∨q)(∈,∈∨q)-interval-valued fuzzy ideals of BCI-algebras and investigate some of their related properties. Some characterization theorems of these generalized interval-valued fuzzy ideals are derived. The relationship among these generalized interval-valued fuzzy ideals of BCI-algebras is also considered.
Journal: Information Sciences - Volume 178, Issue 19, 1 October 2008, Pages 3738–3754