模糊数差的存在性扩展
Expansion of the Existence Range of the Difference between Two Fuzzy Numbers
DOI: 10.12677/PM.2021.118163, PDF,  被引量    国家自然科学基金支持
作者: 汪 帆, 杨 宏*：西北师范大学，数学与统计学院，甘肃 兰州
关键词: 模糊数；模糊数的差；存在性；Fuzzy Number； The Difference of Fuzzy Numbers； Existence
摘要: 模糊数差的存在性问题一直是困扰模糊数空间、模糊数值函数分析学研究的瓶颈问题之一。之所以模糊数的差存在性很弱，是因为模糊数的减法并不是模糊数加法的逆运算。本文对模糊数差的存在性扩展作了系统分析与研究，并列举了各种相应的算例对其进行详细说明。
Abstract: The existence of the difference between two fuzzy numbers has always been one of the bottlenecks in the research of fuzzy number space and fuzzy numerical function analysis. The reason why the difference of fuzzy numbers is weak is that the subtraction of fuzzy numbers is not the inverse op-eration of the addition of fuzzy numbers. In this paper, the existence and extension of fuzzy number difference are systematically analyzed and studied, and various corresponding examples are given to illustrate it in detail.
文章引用：汪帆, 杨宏. 模糊数差的存在性扩展[J]. 理论数学, 2021, 11(8): 1451-1463. https://doi.org/10.12677/PM.2021.118163

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