Error analysis between two different fuzzy multiplication operations on Triangular Fuzzy Number

Author:

Nigm Khaled Abu-Bakr,Elsherif Ahmed K,Salah Ismail Ahmed

Abstract

Abstract One of the basic contents of fuzzy mathematics is the mathematical operations of fuzzy numbers. But still some of the fuzzy mathematical operations are not determined. There are some operations between fuzzy numbers are exact and there are approximated operations. In this paper, a comparison has been presented between two different fuzzy multiplication operations. One of these two fuzzy multiplication operations is exact with using interval arithmetic cut method and the other one is an approximation method which uses a standard approximation. In the two different methods, the fuzzy numbers will be defined as triangular fuzzy numbers because the triangular fuzzy number is the most popular one between the other shapes of fuzzy numbers. A numerical example has been presented with graphical result to show the difference between them and to analyze the error.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Reference15 articles.

1. Fuzzy set;Zadeh;Information and Control,1965

2. Operations on fuzzy numbers, International Journal of Systems;Dubois;Science,1978

3. Fuzzy Nonlinear Optimization for the Linear Fuzzy Real Number System;Rogers;International Mathematical Forum,2009

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3