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- 원광대학교 기초자연과학연구소 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 제19권 제2호
- 발행연도
- 2020.1
- 수록면
- 157 - 167 (11page)
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In this paper, the concept of skew fuzzy ideals (filters) of skew lattices and the concept of fuzzy ideals (filters) of skew lattices are introduced. The characterizations of skew fuzzy ideals (filters) of skew lattices in terms of fuzzy subsets are given. An isomorphism between the class of all crisp ideals of a skew lattice and the class of all fuzzy ideals of a skew lattice (called $\alpha-level$ fuzzy ideal) is established. Further, it is proved that any fuzzy ideal (filter) of a skew lattice is a skew fuzzy ideal (filter).
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참고문헌 (10)
참고문헌 신청
N. Ajmal / 1994 / Fuzzy Lattices / Information sciences 79:271~291
R. Bignall / 1995 / Skew Boolean algebras and discriminator varieties / Algebra Univer-salis 33:387~398
J. P. Costa / 2012 / On ideals of a skew lattice / Discussiones Mathematicae : General Algebra and Applications 32:5~21
J. Leech / 1989 / Skew lattices in rings / Alggebra Universalis 26:48~72
W. J. Liu / 1982 / Fuzzy invariant subgroups and fuzzy ideals / fuzzy sets and systems 8:133~139
R. Bignall / 1995 / Skew Boolean algebras and discriminator varieties / Algebra Univer-salis 33:387~398
J. P. Costa / 2012 / On ideals of a skew lattice / Discussiones Mathematicae : General Algebra and Applications 32:5~21
J. Leech / 1989 / Skew lattices in rings / Alggebra Universalis 26:48~72
W. J. Liu / 1982 / Fuzzy invariant subgroups and fuzzy ideals / fuzzy sets and systems 8:133~139
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