Generation of linear orders for intervals by means of aggregation functions

被引：269

作者：

Bustince, H. ^{[1
]}

Fernandez, J. ^{[1
]}

Kolesarova, A. ^{[2
]}

Mesiar, R. ^{[3
,4
]}

机构：

[1] Univ Publ Navarra, Dept Automat & Computac, Pamplona, Spain

[2] Slovak Univ Technol Bratislava, Inst Informat Engn Automat & Math, Bratislava 81237, Slovakia

[3] Slovak Univ Technol Bratislava, Dept Math, Bratislava, Slovakia

[4] Acad Sci Czech Republ, Inst Informat Theory & Automat, CR-18208 Prague, Czech Republic

来源：

FUZZY SETS AND SYSTEMS | 2013年 / 220卷

关键词：

Interval-valued fuzzy set; A-IFS Atanassov's intuitionistic fuzzy set; Linear order; Aggregation function;

D O I：

10.1016/j.fss.2012.07.015

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The problem of choosing an appropriate total order is crucial for many applications that make use of extensions of fuzzy sets. In this work we introduce the concept of an admissible order as a total order that extends the usual partial order between intervals. We propose a method to build these admissible orders in terms of two aggregation functions and we prove that some of the most used examples of total orders that appear in the literature are specific cases of our construction. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：69 / 77

页数：9

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