کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
390842 661308 2009 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hybrid monotonic inclusion measure and its use in measuring similarity and distance between fuzzy sets
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Hybrid monotonic inclusion measure and its use in measuring similarity and distance between fuzzy sets
چکیده انگلیسی

In fuzzy set theory, an inclusion measure indicates the degree to which a given fuzzy set is contained in another fuzzy set. In this paper, we introduce a new definition of inclusion measure: hybrid monotonic inclusion measure (S inclusion measure for short). Some inclusion measures defined by other authors and us are proved to be S inclusion measures. In addition, as the rational generalization of crisp inclusion relation, we prove most of the S inclusion measures possess some kind of T-transitivity and some properties postulated by Sinha and Dougherty for a reasonable inclusion measure. Similarity measure and distance between two fuzzy sets derived from S inclusion measure possess properties of normal similarity measure and distance. Furthermore, some similarity measures possess T-transitivity and distributivity.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 160, Issue 1, 1 January 2009, Pages 107-118