참고문헌
- N. Ajmal and K. V. Thomas, Fuzzy lattices, Inform. Sci. 79 (1994) 271-291. https://doi.org/10.1016/0020-0255(94)90124-4
- G. Birkhoff, Lattice Theory. Amer. Math. Soc. Colloq. Publ. XXV, Revised Edition, Providence 1961.
- B. A. Davey and H. A. Priestley, Introduction to Lattices and Order, Cambridge Univ. Press, Cambridge 1990.
- M. Erne, Verallgemeinerungen der Verbandstheorie II: m-Ideale in halbgeordneten Mengen und Hullenraumen, Habilitationsschrift, University of Hannover 1979.
- M. Erne and Vinayak Joshi, Ideals in atomic posets, Discrete Mathematics 338 (2015) 954-971. https://doi.org/10.1016/j.disc.2015.01.001
- O. Frink, Ideals in partially ordered sets, Amer. Math. Monthly 61 (1954) 223-234. https://doi.org/10.1080/00029890.1954.11988449
- J. A. Goguen, L-fuzzy sets, J. Math. Anal. Appl. 18 (1967) 145-174. https://doi.org/10.1016/0022-247X(67)90189-8
- G. Gratzer, General Lattice Theory, Academic Press, New York 1978.
- R. Halas, Annihilators and ideals in ordered sets, Czechoslovak Math. J. 45 (120) (1995) 127-134.
- R. Halas, Decomposition of directed sets with zero. Math. Slovaca 45 (1) (1995) 9-17.
- R. Halas and J. Rachunek, Polars and prime ideals in ordered sets, Discuss. Math., Algebra and Stochastic Methods 15 (1995) 43-59.
- B. B. N. Koguep and C. Lele, On fuzzy prime ideals of lattices, SJPAM 3(2008) 1-11.
- J. N. Mordeson and D. S. Malik, Fuzzy Commutative Algebra, World Sci. Publ.,Singapore, 1998.
- T. Ramarao, C. P. Rao, D. Solomon and D. Abeje, Fuzzy Ideals and Filters of lattices, Asian Journal of Current Engineering and Maths. 2 (2013) 297-300.
- M. H. Stone, The theory of representations for Boolean algebras. Trans. Amer. Math. Soc. 40 (1936) 37-111.
- U. M. Swamy and D. V. Raju, Fuzzy Ideals and congruences of lattices, Fuzzy Sets and Systems 95 (1998) 249-253. https://doi.org/10.1016/S0165-0114(96)00310-7
- P. V. Venkataranasimhan, Pseudo-complements in posets. Proc. Amer. Math. Soc. 28 (1971) 9-17. https://doi.org/10.1090/S0002-9939-1971-0272687-X
- P. V. Venkataranasimhan, Semi-ideals in posets. Math. Ann. 185 (1970) 338-348. https://doi.org/10.1007/BF01349957
- B. Yuan and W. Wu, Fuzzy ideals on a distributive lattice, Fuzzy sets and Systems 35 (1990) 231-240. https://doi.org/10.1016/0165-0114(90)90196-D
- L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965) 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X
피인용 문헌
-
$ L$ -Fuzzy Semiprime Ideals of a Poset vol.2020, pp.None, 2018, https://doi.org/10.1155/2020/1834970 - On Fuzzy Deductive Systems of Hilbert Algebras vol.2020, pp.None, 2018, https://doi.org/10.1155/2020/6910726
- L-Fuzzy Congruences and L-Fuzzy Kernel Ideals in Ockham Algebras vol.2021, pp.None, 2018, https://doi.org/10.1155/2021/6644443