New Arithmetic Operations on Developed Parabolic Fuzzy Numbers and Its Application
Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
View: 61
This Paper With 10 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_IJIM-11-3_006
تاریخ نمایه سازی: 26 دی 1402
Abstract:
In this paper, we have studied the basic arithmetic operations for developed parabolic fuzzy numbers by using the concept of the transmission average, which was already implied in [F. Abbasi et al., A new attitude coupled with fuzzy thinking to fuzzy rings and fields, Journal of Intelligent and Fuzzy Systems, ۲۰۱۵] in its rudimentary form and was finally presented in its fully-fledged form in [F. Abbasi et al., A new and efficient method for elementary fuzzy arithmetic operations on pseudo-geometric fuzzy numbers, Journal of Fuzzy Set Valued Analysis, ۲۰۱۶]. The major advantage of these operations is that they findings are closer to reality than extension principle-based fuzzy arithmetic operations (in the domain of the membership function) or interval arithmetic (in the domain of \alpha-cuts). A technical example is given to illustrate applying the method. The proposed method can model and analyze the fuzzy system reliability in a more flexible and intelligent manner in comparison with the other methods.
Keywords:
Fuzzy arithmetic operations , Developed parabolic fuzzy numbers , Extension principle , Fuzzy system reliability , Transmission average
Authors
F. Abbasi
Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran.