Radicals of fuzzy ideals

D. S. Malik; John N. Mordeson

doi:10.1016/0020-0255(92)90122-O

Radicals of fuzzy ideals

D. S. Malik, John N. Mordeson

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

There are several natural ways to fuzzify the concepts of prime ideal, primary ideal, the radical of an ideal, and the primary representation of an ideal in a commutative ring. In this paper, we introduce some new approaches and compare them with known ones. Our main goal is to unify the various possible fuzzy primary representations of a fuzzy ideal to prepare the way for the study of fuzzy nonlinear systems of equations.

Original language	English (US)
Pages (from-to)	239-252
Number of pages	14
Journal	Information sciences
Volume	65
Issue number	3
DOIs	https://doi.org/10.1016/0020-0255(92)90122-O
State	Published - Nov 15 1992

All Science Journal Classification (ASJC) codes

Software
Control and Systems Engineering
Theoretical Computer Science
Computer Science Applications
Information Systems and Management
Artificial Intelligence

Access to Document

10.1016/0020-0255(92)90122-O

Cite this

@article{0fc2c6c819f34d7aa1e5e485e79fc9de,

title = "Radicals of fuzzy ideals",

abstract = "There are several natural ways to fuzzify the concepts of prime ideal, primary ideal, the radical of an ideal, and the primary representation of an ideal in a commutative ring. In this paper, we introduce some new approaches and compare them with known ones. Our main goal is to unify the various possible fuzzy primary representations of a fuzzy ideal to prepare the way for the study of fuzzy nonlinear systems of equations.",

author = "Malik, {D. S.} and Mordeson, {John N.}",

year = "1992",

month = nov,

day = "15",

doi = "10.1016/0020-0255(92)90122-O",

language = "English (US)",

volume = "65",

pages = "239--252",

journal = "Information Sciences",

issn = "0020-0255",

publisher = "Elsevier Inc.",

number = "3",

}

TY - JOUR

T1 - Radicals of fuzzy ideals

AU - Malik, D. S.

AU - Mordeson, John N.

PY - 1992/11/15

Y1 - 1992/11/15

N2 - There are several natural ways to fuzzify the concepts of prime ideal, primary ideal, the radical of an ideal, and the primary representation of an ideal in a commutative ring. In this paper, we introduce some new approaches and compare them with known ones. Our main goal is to unify the various possible fuzzy primary representations of a fuzzy ideal to prepare the way for the study of fuzzy nonlinear systems of equations.

AB - There are several natural ways to fuzzify the concepts of prime ideal, primary ideal, the radical of an ideal, and the primary representation of an ideal in a commutative ring. In this paper, we introduce some new approaches and compare them with known ones. Our main goal is to unify the various possible fuzzy primary representations of a fuzzy ideal to prepare the way for the study of fuzzy nonlinear systems of equations.

UR - http://www.scopus.com/inward/record.url?scp=38249009949&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38249009949&partnerID=8YFLogxK

U2 - 10.1016/0020-0255(92)90122-O

DO - 10.1016/0020-0255(92)90122-O

M3 - Article

AN - SCOPUS:38249009949

VL - 65

SP - 239

EP - 252

JO - Information Sciences

JF - Information Sciences

SN - 0020-0255

IS - 3

ER -

Radicals of fuzzy ideals

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this