کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
392176 664685 2015 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Probabilistic-valued decomposable set functions with respect to triangle functions
ترجمه فارسی عنوان
مجموعه توابع مجموعه ای با احتساب ارزش با توجه به توابع مثلث
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
چکیده انگلیسی

Real world applications often require dealing with the situations in which the exact numerical values of the (sub)measure of a set may not be provided, but at least some probabilistic assignment still could be done. Also, several concepts in uncertainty processing are linked to the processing of distribution functions. In the framework of generalized measure theory we introduce the probabilistic-valued decomposable set functions which are related to triangle functions as natural candidates for the “addition” in an appropriate probabilistic metric space. Several set functions, among them the classical (sub)measures, previously defined τTτT-submeasures, τL,AτL,A-submeasures as well as recently introduced Shen’s (sub)measures are described and investigated in a unified way. Basic properties and characterizations of τ-decomposable (sub)measures are also studied and numerous extensions of results from the above mentioned papers are provided.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Information Sciences - Volume 295, 20 February 2015, Pages 347–357
نویسندگان
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