Nearness approximation space based on axiomatic fuzzy sets

15Citations
Citations of this article
7Readers
Mendeley users who have this article in their library.

Abstract

The approximation space model was originally proposed by Pawlak (1982) [19]. It was Orłowska who first observed that approximation spaces serves as a formal counterpart of perception, or observation [16, §2, p. 8], in which approximations provide a means of approximating one set of objects with another set of objects using the indiscernibility relation. Topology has been used to enrich the original model of an approximation space as well as more recent models of generalized approximation spaces. In this paper, an extension of the topology neighborhood based on AFS (Axiomatic Fuzzy Sets) theory is introduced, and some interesting properties are given. Furthermore, a new generalized approximation space model is established with two application examples, which can be used to deal with information tables with many category features and viewed as a multi-granulations form of nearness approximation space models. © 2011 Elsevier Inc. All rights reserved.

Cite

CITATION STYLE

APA

Wang, L., Liu, X., & Qiu, W. (2012). Nearness approximation space based on axiomatic fuzzy sets. In International Journal of Approximate Reasoning (Vol. 53, pp. 200–211). https://doi.org/10.1016/j.ijar.2011.10.001

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free