FUZZY WEIGHTED AVERAGE AS A FUZZIFIED AGGREGATION OPERATOR AND ITS PROPERTIES

被引：3

作者：

Pavlacka, Ondaej ^{[1
]}

Pavlackova, Martina ^{[1
]}

Hetfleis, Vladislav ^{[1
]}

机构：

[1] Palacky Univ Olomouc, Fac Sci, Dept Math Anal & Applicat Math, 17 Listopadu 12, Olomouc 77146, Czech Republic

来源：

KYBERNETIKA | 2017年 / 53卷 / 01期

关键词：

aggregation operator; fuzzy weighted average; fuzzy numbers; fuzzy weights; PROGRAMMING APPROACH; VECTORS; TOPSIS; SETS;

D O I：

10.14736/kyb-2017-1-0137

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

The weighted average is a well-known aggregation operator that is widely applied in various mathematical models. It possesses some important properties defined for aggregation operators, like monotonicity, continuity, idempotency, etc., that play an important role in practical applications. In the paper, we reveal whether and in which way such properties can be observed also for the fuzzy weighted average operator where the weights as well as the weighted values are expressed by noninteractive fuzzy numbers. The usefulness of the obtained results is discussed and illustrated by several numerical examples.

引用

页码：137 / 160

页数：24

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