I-fuzzy Alexandrov topologies and specialization orders

被引：42

作者：

Fang Jinming ^{[1
]}

机构：

[1] Ocean Univ China, Dept Math, Qingdao 266071, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2007年 / 158卷 / 21期

关键词：

fuzzy preorder; triangular norm; I-fuzzy topology; Alexandrov topology; specialization order;

D O I：

10.1016/j.fss.2007.05.001

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The aim of this paper is to investigate the relationships between certain generalized topological structures and fuzzy order structures on a universe set X. In details, a fuzzy preordered relation induces an I-fuzzy Alexandrov topology; and an I-fuzzy topology induces a fuzzy preordered relation, which turns out to be a specialization order in I-fuzzy setting. In addition, the Representation Theorem of fuzzy preorders by I-fuzzy topologies is obtained. These results coincide with the conclusions obtained in literature in the version of two-valued logic. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：2359 / 2374

页数：16

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