دانلود The Likelihood Interpretation as the Foundation of Fuzzy Set Theory

ترجمه فارسی The Likelihood Interpretation as the Foundation of Fuzzy Set Theory
قیمت : 330,000 ریال
شناسه محصول : 2007882
نویسنده/ناشر/نام مجله : International Journal of Approximate Reasoning
سال انتشار: 2017
تعداد صفحات انگليسي : 12
نوع فایل های ضمیمه : Pdf+Word
حجم فایل : 472 Kb
کلمه عبور همه فایلها : www.daneshgahi.com
عنوان انگليسي : The Likelihood Interpretation as the Foundation of Fuzzy Set Theory

چکیده

Abstract

In order to use fuzzy sets in real-world applications, an interpretation for the values of membership functions is needed. The history of fuzzy set theory shows that the interpretation in terms of statistical likelihood is very natural, although the connection between likelihood and probability can be misleading.  In this paper, the likelihood interpretation of fuzzy sets is reviewed: it makes fuzzy data and fuzzy inferences perfectly compatible with standard statistical analyses, and sheds some light on the central role played by extension principle andα-cuts in fuzzy set theory.  Furthermore, the likelihood interpretation justifies some of the combination rules of fuzzy set theory, including the product and minimum rules for the conjunction of fuzzy sets,  as well as the probabilistic-sum and bounded-sum rules for the disjunction of fuzzy sets.

Keywords: fuzzy sets likelihood function fuzzy data measurement error fuzzy inference combination rules
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