Arithmetic Operations on Generalized Parabolic Fuzzy Numbers and Its Application

被引：28

作者：

Garg, Harish ^{[1
]}

Ansha ^{[1
]}

机构：

[1] Thapar Univ Patiala, Sch Math, Patiala 147004, Punjab, India

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES | 2018年 / 88卷 / 01期

关键词：

Generalized parabolic fuzzy numbers; Defuzzification; Arithmetic operations; Fuzzy numbers; EXPECTED VALUE;

D O I：

10.1007/s40010-016-0278-9

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we have studied the basic arithmetic operations for two generalized positive parabolic fuzzy numbers by using the concept of the distribution and complementary distribution functions. The major advantage of these operations is that they do not need the computation of alpha-cut of the fuzzy number and hence it becomes more powerful where the standard method i.e., alpha-cuts method fails. Based on these operations, some elementary applications on mensuration have been illustrated and compared their results with generalized triangular fuzzy numbers.

引用

页码：15 / 26

页数：12

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