SOME PROPERTIES OF UNCERTAIN INTEGRAL

Cuilian You; Na Xiang

SOME PROPERTIES OF UNCERTAIN INTEGRAL

Publish place: Iranian Journal of Fuzzy Systems، Vol: 15، Issue: 2

Publish Year: 1397

نوع سند: مقاله ژورنالی

زبان: English

This Paper With 10 Page And PDF Format Ready To Download

دریافت فایل کامل Paper

Certificate
من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

https://civilica.com/doc/1460431

شناسه ملی سند علمی:

JR_IJFS-15-2_009

تاریخ نمایه سازی: 17 خرداد 1401

Abstract:

Uncertainty theory is a mathematical methodology for dealing withnon-determinate phenomena in nature. As we all know, uncertainprocess and uncertain integral are important contents of uncertaintytheory, so it is necessary to have deep research. This paperpresents the definition and discusses some properties of strongcomonotonic uncertain process. Besides, some useful formulas ofuncertain integral such as nonnegativity, monotonicity, intermediateresults are studied.

Keywords:

Uncertain variable , Uncertain process , Uncertain integral , monotonicity

Authors

Cuilian You

College of Mathematics and Information Science, Hebei University, Baoding ۰۷۱۰۰۲, China

Na Xiang

College of Mathematics and Information Science, Hebei University, Baoding ۰۷۱۰۰۲, China

مراجع و منابع این Paper:

لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :

X. Chen and B. Liu, Existence and uniqueness theorem for ...
D. Dubois and H. Prade, Possibility Theory: An Approach to ...
X. Gao, Some properties of continuous uncertain measure, International Journal ...
M. Ha and X. Li, Choquet integral based on self-dual ...
B. Liu and Y. K. Liu, Expected value of fuzzy ...
B. Liu, Uncertainty Theory, ۲nd ed., Springer-Verlag, Berlin, ۲۰۰۷ ...
B. Liu, Fuzzy process, hybrid process and uncertain process, Journal ...
B. Liu, Theory and Practice of Uncertain Programming, ۲nd edn, ...
B. Liu, Uncertainty Theory: A Branch of Mathematics for Modeling ...
B. Liu, Uncertain risk analysis and uncertain reliablity analysis, Journal ...
B. Liu and X. Chen, Uncertain multiobjective programming and uncertain ...
B. Liu and K. Yao, Uncertain multilevel programming: Algorithm and ...
B. Liu, Uncertain distribution and independence of uncertain processes, Fuzzy ...
B. Liu, Uncertainty Theory, ۵th ed., http : ==orsc:edu:cn=liu=ut:pdf:[۱۶] E. ...
J. Peng, Risk metrics of loss function for uncertain system, ...
M. Radko, Fuzzy measure and integral, Fuzzy Sets and Systems, ...
A. V. Skorokhod, On a generalization of a stochastic integral, ...
M. Sugeno, Theorem of Fuzzy Integrals and Its Applications, Ph. ...
R. R. Yager, A foundation for a theory of possibility, ...
C. You, On the convergence of uncertain sequences, Mathematical and ...
C. You and L. Yan, Relationships among convergence concepts of ...
C. You and W. Wang, Some properties of complex fuzzy ...
C. You, H. Ma and H. Huo, A new kind ...
C. You and L. Yan, The p-distance of uncertain variables, ...
L. A. Zadeh, Fuzzy sets, Information and Control, ۸ (۱۹۶۵), ...
L. A. Zadeh, Fuzzy sets as a basis for a ...

نمایش کامل مراجع