VAGUE RINGS

Author:

CRIST RANDALL1,MORDESON JOHN N.1

Affiliation:

1. Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA

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 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Computer Science Applications,Human-Computer Interaction

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. M-Hazy Vector Spaces over M-Hazy Field;Mathematics;2021-05-14

2. The Homomorphism Theorems of M-Hazy Rings and Their Induced Fuzzifying Convexities;Mathematics;2020-03-13

3. SIMILARITY RELATIONS, VAGUE GROUPS, AND FUZZY SUBGROUPS;New Mathematics and Natural Computation;2006-11

4. VAGUE GROUPS AND Ω-VAGUE GROUPS;New Mathematics and Natural Computation;2005-07

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