Analytical fuzzy plane geometry I

被引：30

作者：

Ghosh, Debdas ^{[1
]}

Chakraborty, Debjani ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India

来源：

FUZZY SETS AND SYSTEMS | 2012年 / 209卷

关键词：

Fuzzy number; Fuzzy point; Fuzzy distance; Fuzzy line segment; Same points; Inverse points; Fuzzy linear combination; Extension principle; PERIMETER;

D O I：

10.1016/j.fss.2012.02.011

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper provides a detailed analysis of fuzzy point, fuzzy line segment, fuzzy distance and the angle between two fuzzy line segments. Two new concepts, same points and inverse points, are defined for this analysis. The basic properties of fuzzy distance, ideas about the containment of a fuzzy point on a fuzzy line segment and the coincidence of two fuzzy points are also described. A linear combination of two fuzzy points is introduced to define a fuzzy line segment. The fuzzy point dividing a fuzzy line segment in a given ratio is also investigated. All the discussion points are supported by suitable examples. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：66 / 83

页数：18

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