Non-commutative residuated lattices based on soft sets

Title
Non-commutative residuated lattices based on soft sets
Author
김희식
Keywords
Soft set; soft non-commutative residuated lattice; union; intersection; boolean AND-product; boolean OR-product
Issue Date
2015-11
Publisher
IOS PRESS
Citation
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, v. 29, NO 5, Page. 2271-2278
Abstract
Molodtsov introduced the concept of soft set as a new mathematical tool for dealing with uncertainties. Recently, Cagman and Enginoglu [16] provided new definitions and operations on soft set theory. The paper applies new definitions and operations of soft sets to non-commutative residuated lattices. The notion of soft non-commutative residuated lattices is introduced. We give some specific examples to show the existence of soft non-commutative residuated lattices. The union, intersection, boolean AND-product, boolean OR-product and difference operations of soft non-commutative residuated lattices are investigated. Finally, we study the homomorphism properties of soft non-commutative residuated lattices. It is pointed out that the soft non-commutative residuated lattices are so general, all results in this paper also hold in most of soft non-commutative logic algebras and soft logic algebras.
URI
http://content.iospress.com/articles/journal-of-intelligent-and-fuzzy-systems/ifs1702http://hdl.handle.net/20.500.11754/28753
ISSN
1064-1246; 1875-8967
DOI
10.3233/IFS-151702
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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