본문 바로가기
KERD
논문KCI 등재

Cubic q-ideals of BCI-algebras

Chang Su Kim|Young Bae Jun|Jeong Gi Kang
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2011.01|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제1권 제1호|pp. 25-34

2

조회

0

다운로드

4

인용

0

참고문헌

키워드

Subalgebra(Cubic) ideal(Cubic) q-idealCubic level set

초록

The notion of cubic q-ideals in BCI-algebras is introduced. Relationship between a cubic ideal and a cubic q-ideal is discussed. Conditionsfor a cubic ideal to be a cubic q-ideal are provided. Characterizationsof a cubic q-ideal are established. The cubic extension property for a cubicq-ideal is considered.

Abstract

The notion of cubic q-ideals in BCI-algebras is introduced. Relationship between a cubic ideal and a cubic q-ideal is discussed. Conditionsfor a cubic ideal to be a cubic q-ideal are provided. Characterizationsof a cubic q-ideal are established. The cubic extension property for a cubicq-ideal is considered.

참고문헌 (7)

  1. Y. Huang, "BCI-algebra" (2006), Science Press
  2. K. Iseki, "An introduction to the theory of BCK-algebras", Math. Japonica, 23, pp.1~26 (1978)
  3. Y. B. Jun, "Cubic subalgebras and ideals of BCK", BCI-algebras, 2010, pp.44, 239~250
  4. Y. B. Jun, "Closed cubic ideals and cubic o-subalgebras in BCK", BCI-algebras, ~
  5. Y. L. Liu, "q-ideals and a-ideals in BCI-algebras", Southeast Asian Bull. Math, 24, pp.243~253 (2000)
  6. J. Meng, "BCK-algebras" (1994), Kyungmoon Sa Co
  7. L. A. Zadeh, "Fuzzy sets", Inform. and Control, 8, pp.338~353 (1965)

관련 논문AI추천

A novel extension of cubic sets and its applications in $BCK/BCI$-algebras정영배기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제14권 제5호N-SUBALGEBRAS AND N-IDEALS BASED ON A SUB-BCK-ALGEBRA OF A BCI-ALGEBRA이경자, 전영배대한수학회 · 대한수학회논문집2012 · 제27권 제4호Bipolar fuzzy a-ideals of BCI-algebras이경자, 전영배대한수학회 · 대한수학회논문집2011 · 제26권 제4호Ideal theory in BCK/BCI-bialgebras이경자, 전영배장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제4호Vague BCK/BCI-algebras방금성, 소금숙, 이경자한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제3호ON p-SUPERIOR IDEALS OF BCI-ALGEBRAS BASED ON SUPERIOR MAPPINGS노은환영남수학회 · East Asian Mathematical Journal2025 · 제41권 제3호

이 간행물의 다른 논문 (9건)

Fuzzy subsemigroups and fuzzy ideals with operators in semigroupsYoung Bae Jun, Hee Sik Kim, Kul Hurpp. 1-12Some remarks on strong semilattices of monoidsS. K. Elaganpp. 13-23Interval-valued fuzzy h-ideals of $\Gamma$-hemiringsYunqiang Yin, Xinhe Linpp. 35-43Fixed point theorem in $\epsilon$-chainable fuzzy metric spaces via absorbing mapsAnuja P. Chouhan, Abhay S. Ranadivepp. 45-53Multi-granulation rough set: from crisp to fuzzy caseXi-Bei Yang, Xiaoning Song, Huili Dou, Jingyu Yangpp. 55-70
원문 보기