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)
- Abd El-Mohsen Badawy, "Closure Filters of Decomposable MS-Algebras", Southeast Asian Bulletin of Mathematics, 44, pp.177~194 (2020)
- N. Ajmal, "Fuzzy lattice", Inform. Sci, 79, pp.271~291 (1994)
- M. Attallah, "Completely fuzzy prime ideals of distributive lattices", The Journal of Fuzzy Mathematics, 08(1), pp.151~156 (2000)
- Berhanu Assaye Alaba, "Closure fuzzy ideals of MS-algebras", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 16(2), pp.247~260 (2018), 기초자연과학연구소[DOI]
- 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)
- T. S. Blyth, "Subvarieties of the class of MS-algebras", Proc.Roy. Soc. Edinburgh Sect.A, 95(1-2), pp.157~169 (1983)
- U. M. Swamy, "Fuzzy ideals and congruences of lattices", Fuzzy sets and systems, 95, pp.249~253 (1998)
- U. M. Swamy, "Irreducibility in algebraic fuzzy systems", Fuzzy Sets and Systems, 41, pp.233~241 (1991)
- Bo. Yuan, "Fuzzy ideals on a distributive lattice", Fuzzy Sets and Systems, 35, pp.231~240 (1990)
- L. A. Zadeh, "Fuzzy sets", Information and Control, 08, pp.338~353 (1965)
- M. Attallah, "Completely fuzzy prime ideals of distributive lattices", The Journal of Fuzzy Mathematics, 08(1), pp.151~156 (2000)
- B. A. Davey, "Introduction to Lattices and order, Second edition Cambrige", ~ (2002)
- B. B. N. Koguep, "On Fuzzy prime ideals of lattice", SJPAM, 03, pp.1~11 (2008)
관련 논문AI추천
$\beta$-fuzzy filters in MS-algebrasBerhanu Assaye Alaba, Teferi Getachew Alemayehu강원경기수학회 · 한국수학논문집2019 · 제27권 제3호$e$-Fuzzy filters of MS-algebrasBerhanu Assaye Alaba, Teferi Getachew Alemayehu강원경기수학회 · 한국수학논문집2019 · 제27권 제4호Closure fuzzy ideals of MS-algebrasBerhanu Assaye Alaba, Teferi Getachew Alemayehu기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2018 · 제16권 제2호Fuzzy ideals in demi-pseudocomplemented MS-algebrasBerhanu Assaye Alaba, Teferi Getachew Alemayehu기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제18권 제2호$\sigma$-fuzzy ideals of distributive p-algebrasBerhanu Assaye Alaba, Wondwosen Zemene Norahun기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제17권 제3호Prime $L$-fuzzy filters of a semilatticeB. Subrahmanyam, Ch. Santhi Sundar Raj, U. M. Swamy기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2020 · 제20권 제1호
이 간행물의 다른 논문 (16건)
The zeroth-order general Randi\'{c} index of graphs with a given clique numberYanling Shao, Jianwei Du, Xiaoling Sunpp. 405-419Commutative single power cyclic hypergroups of order 4 and period 2M.R. KHERADMAND, B. Davvazpp. 421-438Second classical Zariski topology on second spectrum of lattice modulesNarayan Phadatare, Pradip Girase, Vandeo Borkarpp. 439-447Iterates of weighted Berezin transform under invariant measure in the unit ball이재성pp. 449-457Relative $L$-order of an entire functionAnirban Bandyopadhyay, Chinmay Ghosh, Soumen Mondalpp. 459-481
