본문 바로가기
KERD
논문KCI 등재

Ideal Theory of Subtraction Semigroups based on (3, 2)­-fuzzy Sets

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we define the notions of (3, 2)-fuzzy ideal of subtraction semigroup and near subtraction semigroup. Also, we discuss some of its properties with examples.

Abstract

In this paper, we define the notions of (3, 2)-fuzzy ideal of subtraction semigroup and near subtraction semigroup. Also, we discuss some of its properties with examples.

참고문헌 (21)

  1. J.C. Abbott, "Sets, Lattices and Boolean Algebras" (1969), Allyn and Bacon
  2. B. Ahmad, "On Fuzzy Soft Sets", Advances in Fuzzy Systems, 2009, pp.1~6 (2009), Hindawi Limited[DOI]
  3. Krassimir T. Atanassov, "Intuitionistic fuzzy sets", Fuzzy Sets and Systems, 20(1), pp.87~96 (1986), Elsevier BV[DOI]
  4. Krassimir T. Atanassov, "New operations defined over the intuitionistic fuzzy sets", Fuzzy Sets and Systems, 61(2), pp.137~142 (1994), Elsevier BV[DOI]
  5. Mohammed Atef, "Fuzzy soft covering-based multi-granulation fuzzy rough sets and their applications", Computational and Applied Mathematics, 40(4), pp.115~ (2021), Springer Science and Business Media LLC[DOI]
  6. N. Ca·gman, "Fuzzy soft set theory and its application", Iranian Journal of Fuzzy Systems, 8(3), pp.137~147 (2011)[DOI]
  7. H. Garg, "A novel triangular interval type-2 intuitionistic fuzzy set and their aggregation operators", Iranian Journal of Fuzzy Systems, 15, pp.69~93 (2018)[DOI]
  8. Harish Garg, "An advanced study on the similarity measures of intuitionistic fuzzy sets based on the set pair analysis theory and their application in decision making", Soft Computing, 22(15), pp.4959~4970 (2018), Springer Science and Business Media LLC[DOI]
  9. H. Garg, "Distance measures for connection number sets based on set pair analysis and its applications to decision-making process", Applied Intelligence, 48(10), pp.3346~3359 (2018)
  10. A. Iampan, "A new branch of the logical algebra: UP-algebras", J. Algebra Relat. Top, 5(1), pp.35~54 (2017)[DOI]
  11. Hariwan Z. Ibrahim, "(3, 2)-Fuzzy Sets and Their Applications to Topology and Optimal Choices", Computational Intelligence and Neuroscience, 2021, pp.1~14 (2021), Hindawi Limited[DOI]
  12. Y.B. Jun, "On filters in UP-algebras, A review and some new reflections", J. Int. Math. Virtual Inst, 11(1), pp.35~52 (2021)[DOI]
  13. Y.B. Jun, "Ideal theory of subtraction algebras", Scientiae Math-ematicae Japonicae, 61(3), pp.459~464 (2005)
  14. Y.B. Jun, "On ideals in subtraction algebras", Scientiae Mathematicae Japonicae, 65(1), pp.129~134 (2007)
  15. 이경자, "Some questions on fuzzifications of ideals in subtraction algebras", 대한수학회논문집, 22(3), pp.359~363 (2007), 대한수학회
  16. S.M. Mostafa, "Fuzzy ideals of KU-algebras", Int. Math. Forum, 63, pp.3139~3149 (2011)
  17. Boris M. Schein, "Difference semigroups", Communications in Algebra, 20(8), pp.2153~2169 (1992), Informa UK Limited[DOI]
  18. T. Senapati, "Fermatean fuzzy sets", Journal of Ambient Intelligence and Humanized Computing, 11(2), pp.663~674 (2020)
  19. J. Somjanta, "Fuzzy sets in UP-algebras", Ann. Fuzzy Math. Inform, 12, pp.739~756 (2016)
  20. R.R. Yager, "Pythagorean fuzzy subsets", Proceedings of the 2013 joint IFSA world congress and NAFIPS annual meeting (IFSA, 2013, 57~61[DOI]
  21. L.A. Zadeh, "Fuzzy sets", Information and Control, 8(3), pp.338~353 (1965), Elsevier BV[DOI]

관련 논문AI추천

이 간행물의 다른 논문 (6건)