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- 원광대학교 기초자연과학연구소 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 제17권 제2호
- 발행연도
- 2019.1
- 수록면
- 147 - 163 (17page)
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In this paper, we introduce the concept of $\alpha$-fuzzy ideals of a distributive lattice. We prove that the set of all $\alpha$-fuzzy ideals of a lattice forms a complete distributive lattice. A set of equivalent conditions are derived for a fuzzy ideal of a lattice to become an $\alpha$-fuzzy ideal. We also topologize the set of all prime $\alpha$-fuzzy ideals of a distributive lattice. Properties of the space also studied. Moreover, a set of equivalent conditions are given the space of all prime $\alpha$-fuzzy ideals of $L$ to become Hausdorff and regular.
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참고문헌 (15)
참고문헌 신청
Berhanu Assaye Alaba / 2018 / Fuzzy annihilator ideals in distributive lattices / ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 16(2):191~200
G. Birkho / 1967 / Lattice Theory / Amer. Math. Soc. Colloq XXV
W. H. Cornish / 1973 / Annultes and -ideals in a distributive lattice / J. Austral. Math. Soc 15:70~77
H. Hadji-Abadi / 1996 / Some results on fuzzy prime spectrum of a ring / Fuzzy sets and systems 77:235~240
C. Jayarm / 1986 / Prime -ideals in a 0-distributive lattic / Indian J. pure appl. Math 17(3):331~337
G. Birkho / 1967 / Lattice Theory / Amer. Math. Soc. Colloq XXV
W. H. Cornish / 1973 / Annultes and -ideals in a distributive lattice / J. Austral. Math. Soc 15:70~77
H. Hadji-Abadi / 1996 / Some results on fuzzy prime spectrum of a ring / Fuzzy sets and systems 77:235~240
C. Jayarm / 1986 / Prime -ideals in a 0-distributive lattic / Indian J. pure appl. Math 17(3):331~337
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