VAGUE RINGS

Randall Crist () and John N. Mordeson ()
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Randall Crist: Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA
John N. Mordeson: Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA

New Mathematics and Natural Computation (NMNC), 2005, vol. 01, issue 02, 213-228

Abstract: 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 andM-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.

Keywords: Vague ring; vague ideal; fuzzy function; nonlinear systems of equations; differentiation; integration; affine varieties (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1142/S1793005705000123

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