(ᾶ, α)-crossing cubic QS-ideal of QS-algebra

Samy   M.   Mostafa; Jeong Gon Lee; Young Bae Jun; 허걸; Christeen Karam Sorour Ebid

doi:10.30948/afmi.2022.24.1.55

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(ᾶ, α)-crossing cubic QS-ideal of QS-algebra

$(\widetilde{\alpha},\alpha)$-crossing cubic $QS$-ideal of $QS$-algebra

Samy M. Mostafa;
Jeong Gon Lee;
Young Bae Jun;
허걸;
Christeen Karam Sorour Ebid

초록

As an extension of bipolar-valued fuzzy sets, the notion of $(α, α)$ - crossing cubic $QS$ -ideals of a $QS$ -algebra is introduced, and several related properties are investigated. Characterizations of $(α, α)$ -crossing cubic $QS$ -ideal in $QS$ -algebras are established. The relations between $(α, α)$ -crossing cubic subalgebras and $(α, α)$ crossing cubic $QS$ -ideals of a $QS$ -algebras are studied. Moreover, the homomorphic image (pre-image) of $(α, α)$ -crossing cubic $QS$ -ideal of a $QS$ -algebra under a homomorprhism of $QS$ -algebras is discussed.

키워드

$QS$-algebra; Crossing cubic set; $(; widetilde{a}; a)$-level set; $(; widetilde{; alpha}; alpha)$-crossing cubic $QS$-ideal; The homomorphic images (pre-images) of $(; widetilde{; alpha}; alpha)$-crossing cubic $QS$-ideal

제목: (ᾶ, α)-crossing cubic QS-ideal of QS-algebra

제목 (타언어): $(\widetilde{\alpha},\alpha)$-crossing cubic $QS$-ideal of $QS$-algebra

저자: Samy M. Mostafa; Jeong Gon Lee; Young Bae Jun; 허걸; Christeen Karam Sorour Ebid

DOI: 10.30948/afmi.2022.24.1.55

발행일: 2022-02

저널명: ANNALS OF FUZZY MATHEMATICS AND INFORMATICS

권: 24

호: 1

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