On characterization of (I,N)-single valued neutrosophic rough approximation operators

作     者：Bao, Yan-Ling Yang, Hai-Long Li, Sheng-Gang 

作者机构：Shaanxi Normal Univ Coll Math & Informat Sci Xian 710062 Shaanxi Peoples R China 

出 版 物：《SOFT COMPUTING》 (Soft Comput.)

年 卷 期：2019年第23卷第15期

页      面：6065-6084页

核心收录：

学科分类：08[工学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：National Natural Science Foundation of China [61473181, 11771263] Fundamental Research Funds for the Central Universities [GK201702008, 2016TS034] 

主　　题：Single valued neutrosophic sets Rough sets Single valued neutrosophic rough sets Approximation operators SVN-norms SVN-implicators 

摘      要：This paper presents a general framework for the study of (I,N)-single valued neutrosophic rough sets from constructive and axiomatic perspectives. In the constructive approach, a pair of single valued neutrosophic rough approximation operators based on single valued neutrosophic implicator I and single valued neutrosophic norm N is first proposed. Moreover, some basic properties of (I,N)-single valued neutrosophic rough approximation operators are explored. In addition, connections between single valued neutrosophic relations and (I,N)-single valued neutrosophic rough approximation operators are systematically discussed. In the axiomatic approach, axiomatic characterization of (I,N)-single valued neutrosophic approximation operators is studied. Specifically, different axiom sets characterizing the intrinsic properties of (I,N)-single valued neutrosophic rough approximation operators associated with diverse single valued neutrosophic relations are investigated in detail.