A NEW ANALYTICAL METHOD FOR SOLVING FUZZY DIFFERENTIAL EQUATIONS

سال انتشار: 1392
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 124

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شناسه ملی سند علمی:

JR_IJFS-10-4_003

تاریخ نمایه سازی: 3 تیر 1401

چکیده مقاله:

In the literature, several numerical methods are proposed for solvingnth-order fuzzy linear diff erential equations. However, till now there areonly two analytical methods for the same. In this paper, the fuzzy Kolmogorov'sdi fferential equations, obtained with the help of fuzzy Markov modelof piston manufacturing system, are solved by one of these analytical methodsand illustrated that the obtained solution does not represent a fuzzy number.To resolve the drawback of existing method, a new analytical method is proposedfor solving nth-order fuzzy linear di fferential equations. Furthermore,the advantage of proposed method over existing method is also discussed.

کلیدواژه ها:

Fuzzy di fferential equations ، Fuzzy Kolmogorov's diff erential equations ، LR flat fuzzy number ، JMD LR flat fuzzy number ، Fuzzy reliability ، Fuzzy Markov model ، Piston manufacturing system

نویسندگان

Sneh Lata

School of Mathematics and Computer Applications, Thapar University, Patiala, ۱۴۷۰۰۴, India

Amit Kumar

School of Mathematics and Computer Applications, Thapar Univer- sity, Patiala, ۱۴۷۰۰۴, India

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