Preservation of fuzzy relation properties based on fuzzy conjunctions and disjunctions during aggregation process

被引：18

作者：

Bentkowska, Urszula ^{[1
]}

Krol, Anna ^{[1
]}

机构：

[1] Univ Rzeszow, Interdisciplinary Ctr Computat Modelling, Pigonia 1, PL-35310 Rzeszow, Poland

来源：

FUZZY SETS AND SYSTEMS | 2016年 / 291卷

关键词：

Fuzzy relations; Fuzzy connectives and aggregation functions; Dominance; ARCHIMEDEAN T-NORMS; STRICT PREFERENCE RELATIONS; DOMINANCE RELATION; OPERATORS; DOMINATION; FAMILIES; CONSTRUCTION; INEQUALITY;

D O I：

10.1016/j.fss.2015.06.001

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this contribution, necessary and sufficient conditions for n-argument functions to preserve properties of fuzzy relations during aggregation process are presented. The proposed properties depend on binary operations including t-norms and t-conorms and, more generally, fuzzy conjunctions and disjunctions. Generalizations of the following properties are studied: antisymmetry, asymmetry, connectedness, transitivity, negative transitivity, semitransitivity, and Ferrers property. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：98 / 113

页数：16

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