کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
391093 661341 2007 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An empirical test of some measurement-theoretic axioms for fuzzy sets
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
An empirical test of some measurement-theoretic axioms for fuzzy sets
چکیده انگلیسی

In the previous years some authors have been elaborating on the measurement-theoretic foundations of fuzzy set theory. A well-known problem in this approach is the difficult applicability of the deterministically formulated axioms on data obtained from an expert (or social science data in general). In this paper a statistical method is proposed which can be used for the testing of measurement axioms in a pairwise comparison design. Consequently we apply this method for the testing of two of these axioms (i.e. Transitivity and Order of Operations) used in the context of fuzzy set theory. The results clearly indicate that subjects act in agreement with Transitivity, but, for Order of Operations there is no such vivid evidence, which may have repercussions for some of the earlier theoretical work.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 158, Issue 12, 16 June 2007, Pages 1348-1359