ON RELATIONSHIP BETWEEN MODIFIED SETS, TOPOLOGICAL-SPACES AND ROUGH SETS

被引：110

作者：

KORTELAINEN, J

机构：

[1] Mikkeli Polytechnic, Institute of Business

来源：

FUZZY SETS AND SYSTEMS | 1994年 / 61卷 / 01期

关键词：

CLOSURE OPERATORS; FUZZY SETS; MODIFIERS; MODIFIER LOGIC; ROUGH SETS;

D O I：

10.1016/0165-0114(94)90288-7

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper we define modifiers by relations. Especially, weakening and substantiating modifiers are defined by a so called accessibility relation which is a reflexive relation on a non-empty set X. After presenting some main results we prove that this type of modifiers will satisfy the Kuratowski Closure Axioms. This means that modifiers in fact induce topological spaces. Also rough sets are considered to be a special case of modified sets.

引用

页码：91 / 95

页数：5

共 12 条

[1]

Bourbaki N., 1989, ELEMENTS MATH

[2]

DUBOIS D, 1990, IRIT9053R RAP

[3] THE GENERALIZED MODUS-PONENS CONSIDERED AS A FUZZY RELATION [J].

HELLENDOORN, H .

FUZZY SETS AND SYSTEMS, 1992, 46 (01) :29-48

[4]

JAMES IM, 1984, GENERAL TOPOLOGY HOM

[5]

KORTELAINEN J, 1993, COMPUTER SCI MATH B, V15, P48

[6]

Kripke S., 1963, ACTA PHILOS FENNICA, V16

[7]

Lakoff G., 1973, J PHILOS LOGIC, V2, P458, DOI [10.1007/BF00262952, DOI 10.1007/BF00262952]

[8]

Mattila J.K., 1991, FUZZY ENG HUMAN FRIE, V2

[9]

MATTILA JK, 1989, PUBLICATION I APPLIE, V14

[10] FUZZY EQUIVALENCE AND THE RESULTING TOPOLOGY [J].

PATRONIS, T ;

STAVRINOS, P .

FUZZY SETS AND SYSTEMS, 1992, 46 (02) :237-243

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