Why fuzzy T-equivalence relations do not resolve the Poincare paradox, and related issues

被引:13
作者
De Cock, M [1 ]
Kerre, E [1 ]
机构
[1] Univ Ghent, Dept Appl Math & Comp Sci, B-9000 Ghent, Belgium
关键词
approximate equality; Poincare paradox; fuzzy T-equivalence relation; resemblance relation; nearness relation;
D O I
10.1016/S0165-0114(02)00244-0
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, which is a rejoinder on the comments (Fuzzy Sets and Systems, 133 (2) (2003)), we will answer the questions whether approximate equality should satisfy transitivity, and whether fuzzy T=equivalence relations resolve the Poincare paradox. Furthermore, we will present an improved definition of resemblance relation and we will investigate its connection with nearness relations. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:181 / 192
页数:12
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