Lattices of Intuitionistic Fuzzy Submodules
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 9, Issue 1
Abstract
In this paper, we provide a technique of generating an intuitionistic fuzzy submodule from a given intuitionistic fuzzy set. It is shown that (i) the sum of two intuitionistic fuzzy submodules of a module M is the intuitionistic fuzzy submodule generated by their union and (ii) the set of all intuitionistic fuzzy submodules of a given module forms a bounded complete lattice. Consequently it is established that the collection of all intuitionistic fuzzy submodules, having the same value at zero, of M constitute a complete distributive sublattice of the lattice of intuitionistic fuzzy submodules.
Authors and Affiliations
P. K. Sharma
Keywords
Related Articles
- EP ID EP651392
- DOI 10.24297/jam.v9i1.6893
- Views 163
- Downloads 0
Dynamics of SVIS Model with Holling Type IV Functional Response
In this paper, we will study the effect of some epidemic concepts such as immigrants and vaccine on the dynamical behaviour of epidemic models. The existence, uniqueness and boundedness of the solution are investigated....
Variations of Moisture Content in The Presence of Combined Flux
A model for diffusion in grains, through the drying process in the form of moisture removal, discussed through this work. While in drying, the moisture leaves the product as vapour or gas. This is achieved by impairing e...
On a relation of distribution with series in L2 and logarithmic averages in the case of symmetric jump behavior
Distribution theory has an important role in applied mathematics, that generalizes the classical notion of functions in mathematical analysis. Distributions make it possible to differentiate functions whose derivatives d...
The Complete Solution of some Kinds of Linear Third Order Partial Differential Equations with Three Independent Variables and variable coefficients
In this paper we find the complete solution of some kinds of linear third order partial differential equations of variable coefficients with three independent variables which have the general form Where A,B,…,T a...
Oscillatory Behavior of Second Order Neutral Dierence Equations with Mixed Neutral Term
In this paper, we study the oscillatory behavior of solution of second order neutral dierence equation with mixed neutral term of the form(an(zn)) + qnx(n) = 0; n 2 N0; where zn = xn + bnxnô€€€l + cnxn+k and 1Ps=n01as= 1...