Results 1 to 10 of about 587 (209)
IFI-ideals of lattice implication algebras [PDF]
International Journal of Computational Intelligence Systems, 2013 The notion of –ideal is introduced in lattice implication algebras. Firstly, the equivalent conditions of –ideals and –ideals are given in lattice implication algebras.
Hua Zhu, Jianbin Zhao, Yang Xu
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Vague Congruences and Quotient Lattice Implication Algebras [PDF]
The Scientific World Journal, 2014 The aim of this paper is to further develop the congruence theory on lattice implication algebras. Firstly, we introduce the notions of vague similarity relations based on vague relations and vague congruence relations.
Xiaoyan Qin, Yi Liu, Yang Xu
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Fantastic filters of lattice implication algebras [PDF]
International Journal of Mathematics and Mathematical Sciences, 2000 The notion of a fantastic filter in a lattice implication algebra is introduced, and the relations among filter, positive implicative filter, and fantastic filter are given.
Young Bae Jun
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Neutrosophic LI-ideals in lattice implication algebras [PDF]
Neutrosophic Sets and Systems, 2020 The notion of neutrosophic set theory is applied to lattice implication algebras, and the concept of neutrosophic LI-ideals and neutrosophic lattice ideals in a lattice implication algebra are introduced.
Rajab Ali Borzooei +2 more
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Roughness of Filters in Lattice Implication Algebras [PDF]
Bulletin of the Polish Academy of Sciences Mathematics, 2004 Summary: As a generalization of filters in lattice implication algebras, the notion of rough filters in lattice implication algebras is introduced, and some of their properties are considered.
Young Bae Jun, Yang Xu
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Vague Implicative LI – Ideals of Lattice Implication Algebras [PDF]
Mathematics and Statistics, 2015 We introduce the concept of vague implicative LI – ideals of lattice implication algebra and discuss some of their properties. We study the relationship between v-implicative filters, vague ILI - ideals and ILI – ideals. Extension property of a vague implicative LI – ideal is built.
V. Amarendra Babu, T. Anitha
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MℬJ-Filters on Lattice Implication Algebras [PDF]
Journal of Physics: Conference Series, 2022 Abstract We explored the some equivalent conditions and properties of MℬJ-filters of Lattice implication algebras. As well we define MℬJ-lattice filters of Lattice implication algebras. Finally, it was established that MℬJ-Lattice filter is an MℬJ-filter, but not the other way around.
V. Amarendra Babu +2 more
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ON FUZZY IMPLICATIVE FILTERS OF LATTICE IMPLICATION ALGEBRAS [PDF]
Communications of the Korean Mathematical Society, 2003 Summary: We investigate some related properties of fuzzy filters and fuzzy implicative filters in lattice implication algebras. We find a characterization of fuzzy filters and fuzzy implicative filters, and we discuss a relation between fuzzy filters and fuzzy implicative filters in lattice implication algebras.
Yiquan Zhu, Qun Zhang, Eun-Hwan Roh
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FUZZIFYING FILTERS IN LATTICE IMPLICATION ALGEBRAS [PDF]
Honam Mathematical Journal, 2009 We introduce the concepts of a fuzzifying fllter and a fuzzifying implicative fllter in lattice implication algebras.
Seon-Yu Kim, Eun-Hwan Roh
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Ultra LI-ideals in lattice implication algebras and MTL-algebras [PDF]
Czechoslovak Mathematical Journal, 2007 A mistake concerning the ultra \textit{LI}-ideal of a lattice implication algebra is pointed out, and some new sufficient and necessary conditions for an \textit{LI}-ideal to be an ultra \textit{LI}-ideal are given. Moreover, the notion of an \textit{LI}-ideal is extended to MTL-algebras, the notions of a (prime, ultra, obstinate, Boolean) \textit{LI ...
Xiaohong Zhang +2 more
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