논문KCI 등재
Fuzzy sublattices of lattices
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
In this paper, we introduce the notion of $L$-fuzzy sublattice of a bounded lattice with truth values in a complete lattice satisfying the infinite meet distributive law and prove certain general properties of these, by observing that these form an algebraic fuzzy set system.
Abstract
In this paper, we introduce the notion of $L$-fuzzy sublattice of a bounded lattice with truth values in a complete lattice satisfying the infinite meet distributive law and prove certain general properties of these, by observing that these form an algebraic fuzzy set system.
참고문헌 (17)
- M. Attallah, "Completely fuzzy prime ideals of distributie laattices", The Journal of Fuzzy Mathematics, 8, pp.151~156 (2000)
- G. Birkho, "Lattice Theory, Colloquium Publications", Amer. Math. Soc, 25 (1967)
- J. A. Goguen, "L-fuzzy sets", J. Math. Anal. Appl, 18, pp.145~174 (1967)
- A. K. Katsaras, "Fuzzy vector spaces and fuzzy topological vector spaces", J. Math. Anal. Appl, 58, pp.135~146 (1977)
- S. Lehmke, "Some properties of fuzzy ideals of lattices", Fuzzy-IEEE'97, pp.813~818 (1997)
- D. S. Malik, "Fuzzy maximal, radical and primary ideals of rings", Inform. Sci, 53, pp.237~250 (1991)
- D. S. Malik, "Extensions of fuzzy subrings and fuzzy ideals", Fuzzy sets and systems, 45, pp.245~251 (1992)
- A. Rosenfeld, "Fuzzy groups", J. Maths. Anal. Appl, 35, pp.512~517 (1971)
- Ch. Santhi Sundar Raj, "Fuzzy Prime Ideals of ADLs", International Journal of Computing Science and Applied Mathematics, 4(2), pp.32~36 (2018)
- Ch. Santhi Sundar Raj, "Fuzzy Maximal Ideals of ADLs", International Journal of Mathematics and Its application, 6(1-D), pp.819~824 (2018)
- U. M. Swamy, "Fuzzy ideals of almost distributive lattices", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 14(4), pp.371~379 (2017), 기초자연과학연구소[DOI]
- U. M. Swamy, "L-Fuzzy Filters of Almost Distributive Lattices", International Journal of Mathematics and Soft Computing, 8(1), pp.35~43 (2018)
- U. M. Swamy, "Algebraic Fuzzy systems", Fuzzy sets and systems, 41, pp.187~194 (1991)
- U. M. Swamy, "Irriducibility in Algebraic Fuzzy systems", Fuzzy sets and systems, 41, pp.233~241 (1991)
- U. M. Swamy, "Fuzzy ideals and congruences of lattices", Fuzzy sets and systems, 95, pp.249~253 (1998)
- U. M. Swamy, "Fuzzy Prime Ideals of Rings", J. Math. Anal. Appl, 134, pp.94~103 (1988)
- L. A. Zadeh, "Fuzzy set", Information and control, 8, pp.338~353 (1965)
관련 논문AI추천
Fuzzy ideals of almost distributive latticesCh. Santhi Sundar Raj, Natnael Teshale A., U. M. Swamy기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제14권 제4호Fuzzy annihilator ideals in distributive latticesBerhanu Assaye Alaba, Wondwosen Zemene Norahun기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2018 · 제16권 제2호Fuzzy lattices as fuzzy relations전인흥강원경기수학회 · 한국수학논문집2015 · 제23권 제4호α-fuzzy ideals and space of prime α-fuzzy ideals in distributive latticesBerhanu Assaye Alaba, Wondwosen Zemene Norahun기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제17권 제2호L-fuzzy ideals of a posetBerhanu Assaye Alaba, Derso Abeje Engidaw, Miheret Alamneh Taye기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2018 · 제16권 제3호On skew fuzzy ideals (filters) of skew latticesYeshiwas Mebrat Gubena기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2020 · 제19권 제2호
이 간행물의 다른 논문 (6건)
Hesitant fuzzy subgroups and subrings임평기, 이정곤, 허걸, 김준희pp. 105-122Fuzzy ideals in demi-pseudocomplemented MS-algebrasTeferi Getachew Alemayehu, Berhanu Assaye Alabapp. 123-143New distance and similarity measures of single value neutrosophic sets with application in multi-criteria decision-makingYameng Wang, Ke Yun Qinpp. 145-160On the solution of linear programming problems with rough interval coefficients in a fuzzy environmentE. Fathy, O. M. Saadpp. 161-171Tri-ideals and fuzzy tri-ideals of $\Gamma$-semiringsM. Murali Krishna Raopp. 181-193
