Some arithmetic operations on the generalized sigmoidal fuzzy numbers and its application

被引：42

作者：

Garg H. ^{[1
]}

机构：

[1] School of Mathematics, Thapar University Patiala, Punjab

来源：

Granular Computing | 2018年 / 3卷 / 01期

关键词：

Arithmetic operations; Distribution function; Fuzzy number; Sigmoidal function;

D O I：

10.1007/s41066-017-0052-7

中图分类号：

学科分类号：

摘要：

The objective of this work is to present an alternative method, under the fuzzy environment, for computing the various arithmetic operations of a system using the sigmoidal number. In the literature, authors have used the linear membership function using α-cut approach for finding the membership function of the system, but in the present study, a nonlinear membership function has been taken in the study. The major advantage of the proposed operations is that they do not need the computation of α-cuts of the number and hence becomes successful to solve the real-life problems. The approach has been illustrated with some elementary examples and compared their results with some of the existing approaches. © 2017, Springer International Publishing AG.

引用

页码：9 / 25

页数：16

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