Algebraic Properties of Z-Numbers Under Additive Arithmetic Operations

被引：2

作者：

Alizadeh, Akif V. ^{[1
]}

Aliyev, Rashad R. ^{[2
]}

Huseynov, Oleg H. ^{[3
]}

机构：

[1] Azerbaijan State Oil & Ind Univ, Dept Control & Syst Engn, 20 Azadlig Ave, AZ-1010 Baku, Azerbaijan

[2] Eastern Mediterranean Univ, Dept Math, Famagusta, North Cyprus, Turkey

[3] Azerbaijan State Oil & Ind Univ, Res Lab Intelligent Control & Decis Making Syst I, 20 Azadlig Ave, AZ-1010 Baku, Azerbaijan

来源：

13TH INTERNATIONAL CONFERENCE ON THEORY AND APPLICATION OF FUZZY SYSTEMS AND SOFT COMPUTING - ICAFS-2018 | 2019年 / 896卷

关键词：

Fuzzy arithmetic; Probabilistic arithmetic; Associativity law; Commutativity law; Z-number;

D O I：

10.1007/978-3-030-04164-9_118

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Prof. L. A. Zadeh introduced the concept of a Z-number for description of real-world information. A Z-number is an ordered pair Z = (A, B) of fuzzy numbers A and B used to describe a value of a random variable X. A is an imprecise estimation of a value of X and B is an imprecise estimation of reliability of A. A series of important works on computations with Z-numbers and applications were published. However, no study exists on properties of operation of Z-numbers. Such theoretical study is necessary to formulate the basics of the theory of Z-numbers. In this paper we prove that Z-numbers exhibit fundamental properties under additive arithmetic operations.

引用

页码：893 / 900

页数：8

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