Basic Theory in the New Real Line-scale Rough Function Model

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Volume 2, Issue 1

J. Info. Comput. Sci. , 2 (2007), pp. 41-47.

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Abstract

The basic concepts of Pawlak rough function model are improved. The concepts of double approximation operators that are scale upper (lower) approximation and real line upper (lower) approximation are defined and their properties and antithesis characteristics are analyzed. Scale bijection theorem as well as relative propositions and conclusions are proposed furthermore. Based on the indiscernibility relation, the new real line-scale rough function model is established by generalizing the double approximation operators into two-dimensional space. That deepens and generalizes rough function model based on rough set theory, and makes the scheme of rough function theory more distinct and completed. The transformation of real function analysis from real line to scale is achieved therefore, which provides necessary theoretical foundation and technical support for further discussion of properties and practical application of rough function model.

Keywords

Rough set, Scale, Indiscernibility relation, Rough number, Rough function

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@Article{JICS-2-41, author = {}, title = {Basic Theory in the New Real Line-scale Rough Function Model}, journal = {Journal of Information and Computing Science}, year = {2007}, volume = {2}, number = {1}, pages = {41--47}, abstract = { The basic concepts of Pawlak rough function model are improved. The concepts of double approximation operators that are scale upper (lower) approximation and real line upper (lower) approximation are defined and their properties and antithesis characteristics are analyzed. Scale bijection theorem as well as relative propositions and conclusions are proposed furthermore. Based on the indiscernibility relation, the new real line-scale rough function model is established by generalizing the double approximation operators into two-dimensional space. That deepens and generalizes rough function model based on rough set theory, and makes the scheme of rough function theory more distinct and completed. The transformation of real function analysis from real line to scale is achieved therefore, which provides necessary theoretical foundation and technical support for further discussion of properties and practical application of rough function model. }, issn = {3080-180X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22818.html} }

TY - JOUR T1 - Basic Theory in the New Real Line-scale Rough Function Model AU - JO - Journal of Information and Computing Science VL - 1 SP - 41 EP - 47 PY - 2007 DA - 2007/03 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22818.html KW - Rough set, Scale, Indiscernibility relation, Rough number, Rough function AB - The basic concepts of Pawlak rough function model are improved. The concepts of double approximation operators that are scale upper (lower) approximation and real line upper (lower) approximation are defined and their properties and antithesis characteristics are analyzed. Scale bijection theorem as well as relative propositions and conclusions are proposed furthermore. Based on the indiscernibility relation, the new real line-scale rough function model is established by generalizing the double approximation operators into two-dimensional space. That deepens and generalizes rough function model based on rough set theory, and makes the scheme of rough function theory more distinct and completed. The transformation of real function analysis from real line to scale is achieved therefore, which provides necessary theoretical foundation and technical support for further discussion of properties and practical application of rough function model.

. (2007). Basic Theory in the New Real Line-scale Rough Function Model. Journal of Information and Computing Science. 2 (1). 41-47. doi:

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