Eliyati, Tsania (2007) Ideal fuzzy Quasi-Assosiatif pada BCI-Aljabar. Sarjana thesis, Universitas Brawijaya.
Abstract
Pada skripsi ini akan dibuktikan beberapa teorema yang berhubungan dengan ideal fuzzy quasi-assosiatif pada BCI-aljabar. Suatu himpunan bagian fuzzy A dari BCI-aljabar X dengan fungsi keanggotaan μ A:X →[0,1] disebut ideal fuzzy dari X jika untuk setiap x,y∈X:(i) μA(0) ≥μA(x) . (ii) μA(x)≥min{μA(x∗y),μ A (y)}. Ideal fuzzy quasi-assosiatif pada BCI-aljabar X adalah suatu himpunan bagian fuzzy A yang memenuhi (( ) ) ( ( )) A A μ x∗y ∗z ≥μ x∗ y∗z , untuk setiap x,y,z∈X . Ideal fuzzy quasi-assosiatif ini merupakan subkelas sejati dari ideal fuzzy tertutup, yaitu ideal fuzzy quasi-assosiatif pasti ideal fuzzy tertutup tetapi belum tentu sebaliknya.
English Abstract
This study will discuss about th e proof of several theorems associated with quasi-associativ e fuzzy ideal in BCI-Algebra. A fuzzy subset A of X with membership function [ ]: 0,1A Xμ → is called fuzzy ideal of X if it satisfies the following conditions: (i). ( ) ( )0A A xμ μ≥ . (ii). ( ) ( ) ( ){ }min ,A A Ax x y yμ μ μ≥ ∗ , for all ,x y X∈ . Quasi-associative fuzzy ideal in BCI-Algebra X is a fuzzy subset A which satisfies ( )( ) ( )( )A Ax y z x y zμ μ∗ ∗ ≥ ∗ ∗ , for all , ,x y z X∈ . This quasi-associative fuzzy ideal is a proper subclass of closed ideal fuzzy which means that the quasi-associative fuzzy ideal is always closed fuzzy ideal but not otherwise.
| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | SKR/MIPA/2007/050702926 |
| Uncontrolled Keywords: | uzzy ideal, quasi-associative fuzzy ideal, closed fuzzy ideal. |
| Subjects: | 500 Natural sciences and mathematics > 510 Mathematics |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika |
| Depositing User: | Unnamed user with email repository.ub@ub.ac.id |
| Date Deposited: | 06 Nov 2007 00:00 |
| Last Modified: | 07 Mar 2022 01:32 |
| URI: | http://repository.ub.ac.id/id/eprint/151696 |
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