Characterizations of MV-Algebras Based on the Theory of Falling Shadows
Joint Authors
He, Pengfei
Xin, Xiao Long
Yang, Yongwei
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-28
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
Based on the falling shadow theory, the concept of falling fuzzy (implicative) ideals as a generalization of that of a T ∧ -fuzzy (implicative) ideal is proposed in MV-algebras.
The relationships between falling fuzzy (implicative) ideals and T -fuzzy (implicative) ideals are discussed, and conditions for a falling fuzzy (implicative) ideal to be a T ∧ -fuzzy (implicative) ideal are provided.
Some characterizations of falling fuzzy (implicative) ideals are presented by studying proprieties of them.
The product ⊛ and the up product ⊚ operations on falling shadows and the upset of a falling shadow are established, by which T -fuzzy ideals are investigated based on probability spaces.
American Psychological Association (APA)
Yang, Yongwei& Xin, Xiao Long& He, Pengfei. 2014. Characterizations of MV-Algebras Based on the Theory of Falling Shadows. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1051728
Modern Language Association (MLA)
Yang, Yongwei…[et al.]. Characterizations of MV-Algebras Based on the Theory of Falling Shadows. The Scientific World Journal No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1051728
American Medical Association (AMA)
Yang, Yongwei& Xin, Xiao Long& He, Pengfei. Characterizations of MV-Algebras Based on the Theory of Falling Shadows. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1051728
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1051728
