Radicals of fuzzy ideals

Davender S. Malik, John N. Mordeson

Research output: Contribution to journalArticle

20 Citations (Scopus)

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 languageEnglish
Pages (from-to)239-252
Number of pages14
JournalInformation Sciences
Volume65
Issue number3
DOIs
StatePublished - Nov 15 1992

Fingerprint

Fuzzy Ideal
Nonlinear systems
Nonlinear Systems of Equations
Prime Ideal
Commutative Ring
Fuzzy Systems

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Computer Science Applications
  • Information Systems
  • Information Systems and Management
  • Statistics, Probability and Uncertainty
  • Electrical and Electronic Engineering
  • Statistics and Probability

Cite this

Radicals of fuzzy ideals. / Malik, Davender S.; Mordeson, John N.

In: Information Sciences, Vol. 65, No. 3, 15.11.1992, p. 239-252.

Research output: Contribution to journalArticle

Malik, Davender S. ; Mordeson, John N. / Radicals of fuzzy ideals. In: Information Sciences. 1992 ; Vol. 65, No. 3. pp. 239-252.
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