Open AccessImplementation of boolean algebraic structure and its decision making approach over lattice ordered multisets
Author(s) -
V.S. Anusuya Ilamathi,
J. Vimala
Publication year - 2017
Publication title -
international journal of engineering and technology
Language(s) - English
Resource type - Journals
ISSN - 2227-524X
DOI - 10.14419/ijet.v7i1.3.9296
Subject(s) - multiset , lattice (music) , boolean algebra , two element boolean algebra , algebraic number , algebraic structure , mathematics , complete boolean algebra , depiction , sorting , maximum satisfiability problem , residuated lattice , discrete mathematics , boolean algebras canonically defined , computer science , algebra over a field , combinatorics , theoretical computer science , boolean function , algorithm , pure mathematics , algebra representation , artificial intelligence , mathematical analysis , physics , acoustics , linguistics , philosophy , fuzzy logic
A multiset is a collection of objects in which they are allowed to repeat. The purpose of this paper is to generalize the notion of Boolean algebra in the context of multisets. Furthermore, we consider 0 and 1 as multiset depiction and identify their role in Boolean algebra over lattice ordered multisets(dual), where some sorting exists among the parameters are explored.