VAGUE RINGS
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We examine the notion of a vague ring. We develop a method of constructing vague rings which can be used in the construction of other algebraic structures. We make a connection between vague rings and M-adic topologies on rings and also to the solution of nonlinear systems of equations and to the convergence of Cauchy sequences in power series rings. We introduce the notion of Ω-vagueness which we apply to the integration and differentiation of fuzzy functions.
- Creighton University United States
fuzzy functions, Fuzzy real analysis, Generalizations, vague rings, nonlinear systems of equations, integration, differentiation, Vague ring, vague ideal, fuzzy function, nonlinear systems of equations, differentiation, integration, affine varieties, vague ideals, affine varieties, Theory of fuzzy sets, etc.
fuzzy functions, Fuzzy real analysis, Generalizations, vague rings, nonlinear systems of equations, integration, differentiation, Vague ring, vague ideal, fuzzy function, nonlinear systems of equations, differentiation, integration, affine varieties, vague ideals, affine varieties, Theory of fuzzy sets, etc.
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