Fuzzy primary representations of fuzzy ideals

Davender S. Malik, John N. Mordeson

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

Let R be a commutative ring with identity, and let A be a fuzzy ideal of R. Then A is said to have a fuzzy primary representation if A is the intersection of a finite number of fuzzy primary ideals. We show that every fuzzy ideal A of R such that A(0) = 1 has a fuzzy primary representation if and only if R is artinian. We show that uniqueness properties for reduced primary representations of ideals (in the usual sense) carry over to fuzzy ideals.

Original language English 151-165 15 Information Sciences 55 1-3 https://doi.org/10.1016/0020-0255(91)90011-I Published - 1991

Fuzzy Ideal
Commutative Ring
Uniqueness
Intersection
If and only if

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

Fuzzy primary representations of fuzzy ideals. / Malik, Davender S.; Mordeson, John N.

In: Information Sciences, Vol. 55, No. 1-3, 1991, p. 151-165.

Research output: Contribution to journalArticle

Malik, Davender S. ; Mordeson, John N. / Fuzzy primary representations of fuzzy ideals. In: Information Sciences. 1991 ; Vol. 55, No. 1-3. pp. 151-165.
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