کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
393068 665565 2015 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Type-2 fuzzy rough sets based on extended t-norms
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Type-2 fuzzy rough sets based on extended t-norms
چکیده انگلیسی


• A type-2 fuzzy rough set based on extended t-norms is investigated from constructive and axiomatic approaches.
• An approximation algorithm of type-2 fuzzy rough sets is listed based on α-cut sets.
• Weak type-2 fuzzy topologies are proposed to investigate the topological properties of type-2 fuzzy rough sets.
• An interval-valued type-2 fuzzy rough set is proposed and investigated.

This paper is devoted to investigate type-2 fuzzy rough sets based on extended t-norms with respect to type-2 fuzzy relations with convex normal fuzzy truth values. Type-2 fuzzy rough sets are proposed on two finite universes of discourse and characterized from both constructive and axiomatic approaches. In the constructive approach, different classes of type-2 fuzzy rough sets are investigated. An approximate algorithm of type-2 fuzzy rough sets based on α-cut sets is given with numerical examples. In the axiomatic approach, the axiomatic characterizations of type-2 fuzzy rough approximation operators are studied. Moreover, the topological properties of type-2 fuzzy rough sets are discussed. In the end, this paper introduces interval-valued type-2 fuzzy rough sets and discusses their properties.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Information Sciences - Volume 305, 1 June 2015, Pages 165–183
نویسندگان
,