Some operations on lattice implication algebras

E. H. Roh; S. Y. Kim; Y. Xu; Young Bae Jun

doi:10.1155/s0161171201006214

International Journal of Mathematics and Mathematical Sciences (Jan 2001)

Some operations on lattice implication algebras

E. H. Roh,
S. Y. Kim,
Y. Xu,
Young Bae Jun

Affiliations

E. H. Roh: Department of Mathematics Education, Chinju National University of Education, Chinju 660-756, Korea
S. Y. Kim: Department of Mathematics Education, Chinju National University of Education, Chinju 660-756, Korea
Y. Xu: Department of Applied Mathematics, Southwest Jiaotong University, Sichuan, Chengdu 610031, China
Young Bae Jun: Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, Korea

DOI: https://doi.org/10.1155/s0161171201006214
Journal volume & issue: Vol. 27, no. 1
pp. 45 – 52

Abstract

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We introduce the concept of a ⊗-closed set and a ⊗-homomorphism in lattice implication algebras, and we discuss some of their properties. Next, we introduce the fuzzy implicative filter and obtain equivalent conditions. Finally, we discuss the operation ⊗, fuzzy filters and fuzzy implicative filters.

Published in International Journal of Mathematics and Mathematical Sciences

ISSN: 0161-1712 (Print); 1687-0425 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/6396

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