본문 바로가기
KERD
논문KCI 등재

Topology of cubic bipolar structures and its application on Q-algebra

이정곤|허걸|Fatema. F. Kareem|S. M. Mostafa
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2021.02|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제21권 제1호|pp. 69-92|DOI 10.30948/afmi.2021.21.1.69

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

Cubic Bipolar fuzzy setCubic bipolar subalgebraCubic bipolar $BCK$-ideaCubic bipolar $Q$-idealCubic bipolar fuzzy pointCubic bipolar fuzzy topologyCubic bipolar fuzzy base

초록

In this paper, we define a cubic bipolar subalgebra, $BCK$-ideal and $Q$-ideal of a $Q$-algebra, and obtain some of their properties and give some examples. Also we define a cubic bipolar fuzzy point, cubic bipolar fuzzy topology, cubic bipolar fuzzy base and for each concept obtained some of its properties.

Abstract

In this paper, we define a cubic bipolar subalgebra, $BCK$-ideal and $Q$-ideal of a $Q$-algebra, and obtain some of their properties and give some examples. Also we define a cubic bipolar fuzzy point, cubic bipolar fuzzy topology, cubic bipolar fuzzy base and for each concept obtained some of its properties.

참고문헌 (31)

  1. Y. Imai, "On axiom system of propositional calculus", Proc. Japan Acad, 42, pp.19~22 (1966)
  2. K. Is´eki, "On BCI-algebras", Mathematics Seminar Notes, 8(1), pp.125~130 (1980)
  3. Q. P. Hu, "On BCH-algebras", Mathematics Seminar Notes, 11, pp.311~320 (1983)
  4. Q. P. Hu, "On Proper BCH-algebras", Math Japonica, 30, pp.659~661 (1985)
  5. J. Neggers, "On Q-algebras", Int. J. Math. Math. Sci, 27(12), pp.749~757 (2001)
  6. S. M. Mostafa, "Interval-valued fuzzy Q-ideals in Q-algebras", International Journal of Algebra, 5(27), pp.1337~1345 (2011)
  7. S. M. Mostafa, "Fuzzy Q-ideals in Q-algebra", World Applied Programming, 2(2), pp.69~80 (2012)
  8. S. M. Mostafa, "Intuitionistic fuzzy Q-ideals in Q-algebras", Global Journal of Pure and Applied Mathematics, 8(2), pp.135~114 (2012)
  9. L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)
  10. C. L. Chang, "fuzzy topological spaces", Jour. Math Anal. Appl, 24, pp.182~190 (1968)
  11. K. M. Lee, "Bipolar-valued fuzzy sets and their operations", Proc. Int. Conf. on Intelligent Technologies, pp.307~312 (2000)
  12. W. R. Zhang, "Bipolar fuzzy sets", Proc. of FUZZ-IEEE, International Conference on Fuzzy Systems, 1, pp.835~840
  13. M. Akram, "Graphs for the analysis of bipolar fuzzy information, Studies in Fuzziness and Soft Computing" (2021), Springer
  14. M. Riaz, "Cubic bipolar fuzzy ordered weighted geometric aggregation operators and their application using internal and external cubic bipolar fuzzy data", Comput. Appl. Math, pp.38~87 (2019)
  15. M. Akram, "Multi-Criteria Group Decision-Making for Selection of Green Suppliers under Bipolar Fuzzy PROMETHEE Process", Symmetry, 12(1), pp.77~ (2020)
  16. G. Ali, "Attributes reductions of bipolar fuzzy relation decision systems", Neural Computing and Applications, 32, pp.10051~10071 (2020)
  17. M. Azhagappan, "Notes on bipolar valued fuzzy RW-closaed and bipolar valued fuzzy RW-open sets in bipolar valued fuzzy topological spaces", International Journal of Mathematical Archive, 7(3), pp.30~36 (2016)
  18. Y. B. Jun, "Bipolar-valued fuzzy sub algebras based on bipolar-valued fuzzy points", Ann. Fuzzy Math. Inform, 12(6), pp.893~902 (2016)
  19. 김준희, "Bipolar fuzzy topological spaces", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 17(3), pp.205~229 (2019), 기초자연과학연구소[DOI]
  20. Young Bae Jun, "Cubic q-ideals of BCI-algebras", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 1(1), pp.25~34 (2011), 기초자연과학연구소
  21. Y. B. Jun, "Cubic structures applied to ideals of BCI-algebras", Computers & Mathematics with Applications, 62(9), pp.3334~3342 (2011)
  22. Y. B. Jun, "Cubic sets", Ann. Fuzzy Math. Inform, 4(1), pp.83~98 (2012)
  23. 이정곤, "Cubic bipolar structures of $BCC$-ideal on $BCC$-algebras", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 20(1), pp.89~103 (2020), 기초자연과학연구소[DOI]
  24. 정영배, "A novel extension of cubic sets and its applications in $BCK", BCI$-algebras, 2017, pp.14(5), 475~486[DOI]
  25. K. Is´eki, "An introduction to the theory of BCK-algebras", Mathematica Japonica, 23(1), pp.1~26 (1978)
  26. C. B. Kim, "ON BG-algebras", Demonstr. Math, XLI(3), pp.497~505 (2008)
  27. S. S. Ahn, "QS-algebras", J. Chuncheong Math. Soc, 12, pp.33~41 (1999)
  28. T. K. Mondal, "Topology of interval-valued fuzzy sets", Indian J. Pure Appl. Math, 30(1), pp.133~189 (1999)
  29. L. A. Zadeh, "Fuzzy sets, The concept of a linguistic variable and its application to approximate reasoning. I", Inform. Sci, 8, pp.199~249 (1975)
  30. M. B. Gorzalczany, "A method of inference in approximate reasoning based on interval-valued fuzzy sets", Fuzzy sets and Systems, 21, pp.1~17 (1987)
  31. D. H. Foster, "Fuzzy topological groups", J. Math. Anal. Appl, 67, pp.549~464 (1979)

관련 논문AI추천

Cubic bipolar structures of $BCC$-ideal on $BCC$-algebras허걸, 이정곤, S. M. Mostafa기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2020 · 제20권 제1호(ᾶ, α)-crossing cubic QS-ideal of QS-algebra허걸, 이정곤, 전영배, Christeen Karam Sorour Ebid, Samy M. Mostafa기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2022 · 제24권 제1호$\Gamma$-$BCI$-algebras and their application to topologyD. L. Shi, J. I. Baek, K. Hur, Samy M. Mostafa, S. H. Han기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2025 · 제29권 제3호Cubic q-ideals of BCI-algebrasChang Su Kim, Jeong Gi Kang, Young Bae Jun기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2011 · 제1권 제1호Bipolar fuzzy a-ideals of BCI-algebras이경자, 전영배대한수학회 · 대한수학회논문집2011 · 제26권 제4호$\Gamma$-$BCH$-algebras and their application to topologyJ. I. Baek, K. Hur, M. Cheong, Moin A. Ansari, Samy M. Mostafa기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2024 · 제28권 제1호

이 간행물의 다른 논문 (6건)

Interval-valued intuitionistic sets and their application to topology허걸, 이정곤, 김준희, 채갑병pp. 1-28Concept lattice on cubic setsXueyou Chenpp. 29-37Multiplies of lattice implication algebras김경호pp. 39-50Real-life decision making based on a new correlation coefficient in Pythagorean fuzzy environmentJ. A. Awolola, P. A. Ejegwapp. 51-67Separation axioms in (L,M)-fuzzy topology (L,M)-fuzzy convexity spacesOsama Rashed Sayed, EL-Sayed EL-Sanousy, Yaser Hassanein Ragheb Sayedpp. 93-103
원문 보기