软集和模糊软集的范畴  

Categories of soft sets and fuzzy soft sets

作　　者：张宇红[1] 韩滢[2] 袁学海[3] 

机构地区：[1]大连理工大学数学科学学院,辽宁大连116024 [2]朝阳师范高等专科学校数学计算机系,辽宁朝阳122000 [3]大连理工大学电子信息与电气工程学部,辽宁大连116024

出　　处：《辽宁工程技术大学学报（自然科学版）》2013年第6期836-839,共4页Journal of Liaoning Technical University (Natural Science)

基　　金：国家自然科学基金资助项目(90818025;61074044)

摘　　要：为从范畴论的观点研究软集,分别建立了软集的范畴和模糊软集的范畴,并讨论了它们的topos性质.研究结果表明:软集的范畴有terminal object,finite products,equalizer和SC等topos性质;模糊软集的范畴有finite products,equalizer,terminal object和exponentials等topos性质.该成果对软集的研究具有一定的参考价值.In order to investigate soft sets from the aspect of category, the categories of soft sets and fuzzy soft sets are established respectively and the properties of topos are studied. The final results show that the category of soft sets has topos properties such as terminal object, finite products, equalizer and SC and the category of fuzzy soft sets has topos properties such as finite products, equalizer, terminal object and exponentials. The results have some reference values for the study of soft sets,

关 键 词：软集 模糊软集 范畴 最终元 有限积 等化子 指数 SC TOPOS 

分 类 号：O154[理学—数学]