본문 바로가기
KERD
논문KCI 등재

Closure filters and prime fuzzy closure filters of $MS-$algebras

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

The notion of fuzzy closure filters is introduced and discussed in an MS-algebra. In particular, we characterize the prime fuzzy closure filters in terms of boosters. Some relationship between the lattice of fuzzy closure filters and the fuzzy ideal lattice of boosters are explored and investigated.

Abstract

The notion of fuzzy closure filters is introduced and discussed in an MS-algebra. In particular, we characterize the prime fuzzy closure filters in terms of boosters. Some relationship between the lattice of fuzzy closure filters and the fuzzy ideal lattice of boosters are explored and investigated.

참고문헌 (13)

  1. Abd El-Mohsen Badawy, "Closure Filters of Decomposable MS-Algebras", Southeast Asian Bulletin of Mathematics, 44, pp.177~194 (2020)
  2. N. Ajmal, "Fuzzy lattice", Inform. Sci, 79, pp.271~291 (1994)
  3. M. Attallah, "Completely fuzzy prime ideals of distributive lattices", The Journal of Fuzzy Mathematics, 08(1), pp.151~156 (2000)
  4. Berhanu Assaye Alaba, "Closure fuzzy ideals of MS-algebras", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 16(2), pp.247~260 (2018), 기초자연과학연구소[DOI]
  5. T. S. Blyth, "On a common abstraction of de Morgan and Stone algebras", Proc.Roy.Soc.Edinburgh Sect. A, 94(3-4), pp.301~308 (1983)
  6. T. S. Blyth, "Subvarieties of the class of MS-algebras", Proc.Roy. Soc. Edinburgh Sect.A, 95(1-2), pp.157~169 (1983)
  7. U. M. Swamy, "Fuzzy ideals and congruences of lattices", Fuzzy sets and systems, 95, pp.249~253 (1998)
  8. U. M. Swamy, "Irreducibility in algebraic fuzzy systems", Fuzzy Sets and Systems, 41, pp.233~241 (1991)
  9. Bo. Yuan, "Fuzzy ideals on a distributive lattice", Fuzzy Sets and Systems, 35, pp.231~240 (1990)
  10. L. A. Zadeh, "Fuzzy sets", Information and Control, 08, pp.338~353 (1965)
  11. M. Attallah, "Completely fuzzy prime ideals of distributive lattices", The Journal of Fuzzy Mathematics, 08(1), pp.151~156 (2000)
  12. B. A. Davey, "Introduction to Lattices and order, Second edition Cambrige", ~ (2002)
  13. B. B. N. Koguep, "On Fuzzy prime ideals of lattice", SJPAM, 03, pp.1~11 (2008)

관련 논문AI추천

이 간행물의 다른 논문 (16건)