辽宁工程技术大学学报(自然科学版)
遼寧工程技術大學學報(自然科學版)
료녕공정기술대학학보(자연과학판)
JOURNAL OF LIAONING TECHNICAL UNIVERSITY(NATURAL SCIENCE)
2013年
6期
836-839
,共4页
软集%模糊软集%范畴%最终元%有限积%等化子%指数%SC%topos
軟集%模糊軟集%範疇%最終元%有限積%等化子%指數%SC%topos
연집%모호연집%범주%최종원%유한적%등화자%지수%SC%topos
soft set%fuzzy soft set%category%terminal object%finite products%equalizer%exponentials%SC%topos
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。
為從範疇論的觀點研究軟集,分彆建立瞭軟集的範疇和模糊軟集的範疇,併討論瞭它們的 topos 性質。研究結果錶明:軟集的範疇有terminal object,finite products,equalizer和SC等topos性質;模糊軟集的範疇有finite products,equalizer,terminal object和exponentials等topos性質。該成果對軟集的研究具有一定的參攷價值。
위종범주론적관점연구연집,분별건립료연집적범주화모호연집적범주,병토론료타문적 topos 성질。연구결과표명:연집적범주유terminal object,finite products,equalizer화SC등topos성질;모호연집적범주유finite products,equalizer,terminal object화exponentials등topos성질。해성과대연집적연구구유일정적삼고개치。
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.