Vague Congruences and Quotient Lattice Implication Algebras
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-14
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
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.
Secondly, the equivalent characterizations of vague congruence relations are investigated.
Thirdly, the relation between the set of vague filters and the set of vague congruences is studied.
Finally, we construct a new lattice implication algebra induced by a vague congruence, and the homomorphism theorem is given.
American Psychological Association (APA)
Qin, Xiaoyan& Liu, Yi& Xu, Yang. 2014. Vague Congruences and Quotient Lattice Implication Algebras. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1048701
Modern Language Association (MLA)
Qin, Xiaoyan…[et al.]. Vague Congruences and Quotient Lattice Implication Algebras. The Scientific World Journal No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1048701
American Medical Association (AMA)
Qin, Xiaoyan& Liu, Yi& Xu, Yang. Vague Congruences and Quotient Lattice Implication Algebras. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1048701
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1048701