Soft set theory

被引：1705

作者：

Maji, PK ^{[1
]}

Biswas, R ^{[1
]}

Roy, AR ^{[1
]}

机构：

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

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2003年 / 45卷 / 4-5期

关键词：

soft set; predicate of a soft set; approximation; approximate value set; soft complement function; NOT set; null soft set; absolute soft set; soft subset; soft super set;

D O I：

10.1016/S0898-1221(03)00016-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the authors study the theory of soft sets initiated by Molodtsov. The authors define equality of two soft sets, subset and super set of a soft set, complement of a soft set, null soft set, and absolute soft set with examples. Soft binary operations like AND, OR and also the operations of union, intersection are defined. De Morgan's laws and a number of results are verified in soft set theory. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：555 / 562

页数：8

共 10 条

[1] INTUITIONISTIC FUZZY-SETS [J].

ATANASSOV, KT .

FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96

[2] OPERATORS OVER INTERVAL VALUED INTUITIONISTIC FUZZY-SETS [J].

ATANASSOV, KT .

FUZZY SETS AND SYSTEMS, 1994, 64 (02) :159-174

[3] VAGUE SETS [J].

GAU, WL ;

BUEHRER, DJ .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1993, 23 (02) :610-614

[4] A METHOD OF INFERENCE IN APPROXIMATE REASONING BASED ON INTERVAL-VALUED FUZZY-SETS [J].

GORZALCZANY, MB .

FUZZY SETS AND SYSTEMS, 1987, 21 (01) :1-17

[5] Soft set theory - First results [J].

Molodtsov, D .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 37 (4-5) :19-31

[6] ROUGH SETS [J].

PAWLAK, Z .

INTERNATIONAL JOURNAL OF COMPUTER & INFORMATION SCIENCES, 1982, 11 (05) :341-356

[7]

Pawlak Z., 1994, HARD SET SOFT SETS

[8]

Prade H., 1980, FUZZY SETS SYSTEMS T

[9] FUZZY SETS [J].

ZADEH, LA .

INFORMATION AND CONTROL, 1965, 8 (03) :338-&

[10]

Zimmerman H.J., 1996, FUZZY SET THEORY ITS

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