Rough set theory applied to (fuzzy) ideal theory

被引：105

作者：

Mordeson, JN ^{[1
]}

机构：

[1] Creighton Univ, Dept Math & Comp Sci, Omaha, NE 68178 USA

来源：

FUZZY SETS AND SYSTEMS | 2001年 / 121卷 / 02期

关键词：

algebra; rough set; cover; approximation operator; commutative ring; ideal; fuzzy ideal; prime spectrum; fuzzy prime spectrum;

D O I：

10.1016/S0165-0114(00)00023-3

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We use covers of the universal set to define approximation operators on the power set of the given set. In Section 1, we determine basic properties of the upper approximation operator and show how it can be used to give algebraic structural properties of certain subsets. We define a particular cover on the set of ideals of a commutative ring with identity in such a way that both the concepts of the (fuzzy) prime spectrum of a ring and rough set theory can simultaneously be brought to bear on the study of (fuzzy) ideals of a ring. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：315 / 324

页数：10

共 32 条

[1]

ABADI HH, 1996, FUZZY SETS SYSTEMS, V77, P235

[2]

[Anonymous], ADV MACHINE INTELLIG

[3] FUZZY PRIME SPECTRUM OF A RING .2. [J].

KOHLI, JK ;

KUMAR, R .

FUZZY SETS AND SYSTEMS, 1993, 59 (02) :223-230

[4] FUZZY PRIME SPECTRUM OF A RING [J].

KUMAR, R .

FUZZY SETS AND SYSTEMS, 1992, 46 (01) :147-154

[5] SPECTRUM OF PRIME FUZZY IDEALS [J].

KUMBHOJKAR, HV .

FUZZY SETS AND SYSTEMS, 1994, 62 (01) :101-109

[6] Some comments on spectrums of prime fuzzy ideals of a ring [J].

Kumbhojkar, HV .

FUZZY SETS AND SYSTEMS, 1997, 85 (01) :109-114

[7]

Kunz E., 1985, Introduction to Commutative Algebra and Algebraic Geometry

[8]

KUROKI N, 1997, J FUZZY MATH, V5, P173

[9]

Kuroki N., 1997, J FUZZY MATH, V5, P183

[10]

MALIK DS, 1990, FUZZY SET SYST, V37, P93, DOI 10.1016/0165-0114(90)90066-F

← 1 2 3 4 →