Epsilon: Jurnal Matematika Murni dan Terapan
Vol 9, No 1 (2015): JURNAL EPSILON VOLUME 9 NOMOR 1

IDEAL FUZZY RING

Nailah Nailah (Program Studi Matematika FMIPA Universitas Lambung Mangkurat)
Saman Abdurrahman (Program Studi Matematika FMIPA Universitas Lambung Mangkurat)
Na'imah Hijriati (Program Studi Matematika FMIPA Universitas Lambung Mangkurat)



Article Info

Publish Date
08 Jun 2015

Abstract

At this time the research on the ideal ring not only exist in the structure but can be combined with the concept of fuzzy set is the ideal fuzzy ring. This study proves the properties that express the relationship between ideal ring and ideal fuzzy ring. The study was conducted by studying literature from various sources, both books and journals that support and relevant to the review conducted. Based on the research, it is found that the ideal properties of fuzzy ring is if μμ ideal fuzzy in ring R and μμ (????????) <μμ (????????) for each ????????, ????????∈???????? apply μμ (????????-????????) = μμ (????????) = μμ (????????-????????). The properties that express the relationship between the ideal ring and the ideal fuzzy ring are a fuzzy subset is the fuzzy ideal in R if and only if the subset level μμ???????? is ideal in R, if I is ideal in R then there is μμ which is the ideal fuzzy ring in R such that μμ???????? = ???????? and the similarity nature of the two subset levels of a fuzzy subset in the ring are the same if and only if there is no ????????∈???????? such that ????????1≤μμ (????????) <????????2, and if μμ is ideal fuzzy in ring R then the ideal level of μμ is μμ????????0⊆μμ????????1⊆ ⋯ ⊆μμ???????????????? = ????????

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Journal Info

Abbrev

epsilon

Publisher

Subject

Decision Sciences, Operations Research & Management Transportation

Description

Jurnal Matematika Murni dan Terapan Epsilon is a mathematics journal which is devoted to research articles from all fields of pure and applied mathematics including 1. Mathematical Analysis 2. Applied Mathematics 3. Algebra 4. Statistics 5. Computational ...