کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
815749 906418 2015 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Consolidity analysis for fully fuzzy functions, matrices, probability and statistics
ترجمه فارسی عنوان
تجزیه و تحلیل تلفیقی برای توابع کامل فازی، ماتریس ها، احتمال و آمار
کلمات کلیدی
سیستم های هوشمند تئوری تثبیت سیستم، نظریه فازی و سیستم، توابع ریاضی فازی، مشکلات بهینه سازی فازی، احتمال فازی و آمار،
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
چکیده انگلیسی
The paper presents a comprehensive review of the know-how for developing the systems consolidity theory for modeling, analysis, optimization and design in fully fuzzy environment. The solving of systems consolidity theory included its development for handling new functions of different dimensionalities, fuzzy analytic geometry, fuzzy vector analysis, functions of fuzzy complex variables, ordinary differentiation of fuzzy functions and partial fraction of fuzzy polynomials. On the other hand, the handling of fuzzy matrices covered determinants of fuzzy matrices, the eigenvalues of fuzzy matrices, and solving least-squares fuzzy linear equations. The approach demonstrated to be also applicable in a systematic way in handling new fuzzy probabilistic and statistical problems. This included extending the conventional probabilistic and statistical analysis for handling fuzzy random data. Application also covered the consolidity of fuzzy optimization problems. Various numerical examples solved have demonstrated that the new consolidity concept is highly effective in solving in a compact form the propagation of fuzziness in linear, nonlinear, multivariable and dynamic problems with different types of complexities. Finally, it is demonstrated that the implementation of the suggested fuzzy mathematics can be easily embedded within normal mathematics through building special fuzzy functions library inside the computational Matlab Toolbox or using other similar software languages.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Ain Shams Engineering Journal - Volume 6, Issue 1, March 2015, Pages 181-197
نویسندگان
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