q-Rung正交模糊导数和不定积分的一些性质

IF 0.3 Q4 MATHEMATICS, APPLIED
Junle Zhuo
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引用次数: 1

摘要

摘要本文首先给出了q阶正交模糊函数(q-ROFFs)的链式法则和微分的形式不变性。此外,利用常微分方程得到了q- roff不定积分的一般公式。其次,给出了q- roff的不定积分替换规则。同时给出了一些例子来验证上述公式a,如链式法则和代换法则。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Some Properties of q-Rung Orthopair Fuzzy Derivatives and Indefinite Integrals
Abstract. In this paper, we first present the chain rule and the form invariance of differential for q-rung orthopair fuzzy functions (q-ROFFs). In addi tion, we obtain the general formula of indefinite integrals of q-ROFFs by ordinary differential equations. Next, we give the substitution rule of indefinite i ntegrals for q-ROFFs. Meanwhile, we give some examples to verify above-mentioned formul a, such as the chain rule and the substitution rule.
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