On Ranking of Continuous Z-Numbers with Generalized Centroids and Optimization Problems Based on Z-Numbers

被引：19

作者：

Qiu, Dong ^{[1
]}

Xing, Yumei ^{[1
]}

Dong, Rongwen ^{[1
]}

机构：

[1] Chongqing Univ Posts & Telecommun, Coll Math & Phys, Chongqing 400065, Peoples R China

来源：

INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS | 2018年 / 33卷 / 01期

关键词：

FUZZY DIFFERENTIAL-EQUATIONS;

D O I：

10.1002/int.21928

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we introduce the addition and g-difference of continuous Z-numbers at first. Then, we define a new partial order to rank the Z-numbers with generalized centroids. The g-derivative of Z-number function based on g-difference is proposed. It is well known that convexity plays a vital role in optimization problems; consequently, we present the convexity of Z-number function. Furthermore, we provide the optimality conditions for optimization problems based on Z-numbers. Finally, the validity of the discussion is illustrated by an example. (C) 2017 Wiley Periodicals, Inc.

引用

页码：3 / 14

页数：12

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