Research of Unary Lattice Implication Algebra Equations on Interval Sets

Hao Cui Du; Bin Sun; Ying Le Yao

doi:10.4028/www.scientific.net/AMR.850-851.761

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 850-851Research of Unary Lattice Implication Algebra...

Research of Unary Lattice Implication Algebra Equations on Interval Sets

Abstract:

The concepts are re-defined on the interval sets which are filter, prime filter, LI-ideal, dual atom and convex sub-lattice in the lattice implication algebra. Three basic unary lattice implication algebra equations on the interval sets are researched. The necessary and sufficient conditions for existence of solutions for the equations are presented. And some properties of equation sets also are given.

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Periodical:

Advanced Materials Research (Volumes 850-851)

Pages:

761-766

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.850-851.761

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Online since:

December 2013

Authors:

Hao Cui Du*, Bin Sun, Ying Le Yao

Keywords:

Interval Sets, Lattice Implication Algebra, Solution Set, Unary Lattice Implication Algebra Equations

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